Faculty of Mathematics and Informatics

Faculty of Mathematics and Informatics

Sukurta: 02 September 2013

mif4 Naugarduko, LT-03225 Vilnius
Tel. 219 3050, fax 215 1585
E-mails: ,
www http://www.mif.vu.lt

Dean – Prof. Dr. Gediminas Stepanauskas

STAFF

156  teachers (104 holding research degree), 5 research fellows (2 holding research degree), 38 doctoral students.

 

RESEARCH AREAS

Fundamental mathematics: number theory, probability theory and stochastic analysis, theory of differential equations, functional analysis

Informatics: recognition processes, data analysis and visualization, optimization, artificial intelligence, modelling of processes and systems, mathematical logic and discrete structures, innovative educational methods

Informatics engineering: image and signal technologies, parallel computing, system engineering, computational experiments, applications of information technologies

Applied mathematics: methods of mathematical statistics, mathematical modelling, econometrics, finance and insurance mathematics, modern elementary mathematics and didactics

DOCTORAL DISSERTATIONS MAINTAINED IN 2015

E. Karikovas. Self-approximation of Hurwitz zeta-function.

J. Atstopienė. Discrete universality theorems for the Riemann and Hurwitz zeta-functions.

K. Janulis. Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions.

V. Characiejus. Asymptotic behaviour of long memory functional linear processes.

MAIN CONFERENCES ORGANIZED IN 2015

16th international conference Teaching Mathematics: Retrospective and Perspectives

1st international workshop on Software Process Education, Training and Professionalism

15th International SPICE Conference

MAIN SCIENTIFIC ACHIEVEMENTS IN 2015

M. V. Korobkov, K. Pileckas and R. Russo have solved Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains (Korobkov, M. V., Pileckas, K., Russo, R. 2015. Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains. Annals of Mathematics, vol. 181, no. 2, 769–807.)

S. Bang, A. Dubickas, J. H. Koolen and V. Multon have proved the Bannai-Ito conjecture, namely that there are only finitely many distance-regular graphs of fixed valency greater than two. (Bang, S., Dubickas, A., Koolen, J. H., Multon, V. 2015. There are only finitely many distance-regular graphs of fixed valency greater than two. Advances in Mathematics, vol. 269, 1–55.)

R. Garunkštis and A. Laurinčikas were awarded the National Science Prize (2014) for the series of works: Zeta-functions. Universality, Zeros, and Moments.

The novel model of artificial spiking neural network designed for unsupervised learning of spatial patterns.

 

DEPARTMENT OF COMPUTER SCIENCE

47 Didlaukio, LT- 08303 Vilnius
Tel. 219 5010, fax. 215 1585
e-mail:

Head - Prof. Dr. Rimantas Vaicekauskas

STAFF

Professors: Dr. R. Vaicekauskas, Habil. Dr. A. Žilinskas (part-time).
Associate professors: Dr. A. Mitašiūnas, Dr. A. Raudys (part-time), Dr. V. Tumasonis.
Senior research fellow: Habil. Dr. Š. Raudys.
Lecturers: Dr. J. Andrikonis, Dr.A. Birštunas, Dr. V. Dičiūnas,Dr. R. Kybartas (part-time), Dr. A. Lenkevičius (part-time), Dr. G. Skersys,Dr. G. Zlatkus (part-time), M. Eglinskas,V. Jančauskas, A. Janeliūnas (part-time), V. Kiško (part-time),R. Masiulis (part-time), M. Plukas (part-time), I. Radavičius,J. Žagūnas.
Assistants: Dr. D. Baronas (part-time), H. Giedra (part time), G. Graževičius (part-time), A. Grevys (part-time), S. Grigaitis (part time), M. Grubliauskis (part time), D. Lebedenko (part time), L. Litvinas (part time), K. Mizara (part-time), L. Ričkus (part time).
Doctoral students: D. Krunglevičius, V. Valaitis.

RESEARCH INTERESTS

Process capability assessment and improvement
Innovation, knowledge and technology transfer process modelling
Qualified electronic signature and applications
Error-correcting codes
Cloud computing
Global optimization, optimal design, visualization of multidimensional data
Computational intelligence and machine learning
Neural networks, pattern recognition
Colour and lighting applications
Smart linguistic fonts
Modal logics. Artificial Intelligence
Financial data analysis using computation intelligence methods

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Computational Intelligence and its Applications in Information Technologies. Prof. R. Vaicekauskas. 2012–2016.

Lighting models and applications related to controlled photobiological effect. Export process capability assessment model. Learning process continuous model. Data mining and knowledge discovery via artificial intelligence based methods. An approach to electronic documents cross-border interoperability solution. Validation  of technology transfer concept and model InnoSPICE. Methods of computational intelligence for financial engineering. The novel model of artificial spiking neural network designed for unsupervised learning of spatial patterns.

Main publications:

Krunglevicius, D. 2015. Competitive STDP Learning of Overlapping Spatial Patterns. Neural Computation, vol. 27, iss. 8, 1673–1685.

Plikynas, D., Raudys, A., Raudys, S. 2015. Agent-based modelling of excitation propagation in social media groups. Journal of Experimental & Theoretical Artificial Intelligence, vol. 27, iss. 4, 373–388.

Žukauskas, A., Vaicekauskas, R. 2015. Tunability of the circadian action of tetrachromatic solid-state light sources. Applied Physics Letters, vol.  106, iss. 4, 041107(1–4).

National Research Projects

Research Council of Lithuania. High-dimensionality and Small Data Size Problems in Classification of Biomedical and Financial Data (No. MIP-057/2013). Prof. Š. Raudys. 2013–2015.

An increase in classification error caused by employment of sample based K-class linear discriminant analysis for dimensionality reduction was considered both analytically and by simulations. We derived analytical expression for expected classification error by applying statistical analysis. It was shown theoretically that with an increase in the sample size, classification error of (K-1)-dimensional data decreases at first, however, later it starts increasing. The peaking effect for real world biomedical and biometric data sets is demonstrated. It was shown that regularisation of the within-class scattering can reduce or even extinguish the peaking effect.

Main publication:

Raudys, Š.; Valaitis, V.; Pabarškaitė, Ž.; Biziulevičienė, G. 2015. A price we pay for inexact dimensionality reduction. Bioinformatics and Biomedical Engineering: 3ird international conference, IWBBIO 2015, Granada, Spain, April 15–17, 2015. Proceedings, Part II. Ser.: Lecture Notes in Computer Science, vol. 9044. Cham: Springer International Publishing, p. 289–300.

Research Council of Lithuania. Colour Restoration In Cultural Heritage Objects Using Solid‐State Lighting (No. MIP-096/2015). Prof. R. Vaicekauskas. 2015–2017.

Project HeriLED investigates the possibility of recreating the original appearance of an damaged  by the environmental factors over the time object using a lighting device having appropriate spectral power distribution when the assumed original visual appearance is available from an undamaged fragment.

Research Council of Lithuania. Modeling Investment Portfolio Using Quantum Chaos (No. MIP-100/2015). Assoc. Prof. A. Raudys. 2015.

We developed quantum chaos advanced portfolio construction methods for algorithmic trading portfolios, investigated smart order execution that minimizes slippage using various combinations of limit and market orders.

Research Council of Lithuania. E-documents for Europe (No. TEC-03/2015). Assoc. Prof. A. Mitašiūnas. 2015–2016.

National platforms of electronic documents in the EU member states are investigated to define actual status of electronic documents cross-border interoperability problem. Research results are presented at the conference eChallenge e-2015 and published in conference proceedings. Prototype of core software for signing of electronic document’s selected exemplars by single activation of secure electronic signature creation device is implemented.

Main publication:

Mitašiūnas, A., Bykovskij, A. 2015. Lithuanian national platform of electronic documents: towards cross-border interoperability. eChallenges e-2015: conference proceedings. Paul Cunningham and Miriam Cunningham (Eds). Dublin: IIMC International Information Management Corporation, p. 1–10.

Lithuania’s Agency for Science, Innovation and Technology (MITA). Development of Unmanned Hybrid Aerial Vehicle for Country Defense Needs. (No. 31V-81, KOLIBRIS).

The goal of “BPO-Kolibris” project is to create reconnaissance Unmanned Aerial Vehicle (UAV) for the Ministry of Defense of Lithuania. 1st phase of the project was focused on developing UAV control software and research of data exchange standarts: STANAG-4586 and Data Distribution System (DDS). Vertical take-off and landing software was tested in the computer simulation.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Office of the Government of the Republic of Lithuania
University of Bremen (Germany)‎
Fraunhofer Institute for Factory Operation and Automation IFF Magdeburg (Germany)
Jawaharlal Nehru University, New Delhi (India)
Nanjing University (China)

OTHER SCIENTIFIC ACTIVITIES

Prof. Habil. Š. Raudys –

Prof. Habil. A. Žilinskas –

Assoc. Prof. A. Mitašiūnas –

  • editorial advisory board member of the Journal of Applied Science and Engineering, http://www2.tku.edu.tw/~tkjse/;
  • advisory board member of international working group Enterprise SPICE on software process assessment and improvement;
  • board member on the National Software and Services Technology Platform;
  • Programme Committee member of the Software Process Improvement and Capability Determination. 15th International Conference, SPICE 2015, 16–17th June 2015, at the Conference Centre Wallenberg in Gothenburg, Sweden;
  • co-chair of the 1st international workshop on Software Process Education, Training and Professionalism, June 15, 2015.

Assoc. Prof. V. Tumasonis –

Assoc. Prof. A. Raudys –

  • reviewer of  the European Journal of Finance.

 

DEPARTMENT OF COMPUTER SCIENCE II

24 Naugarduko, LT-03225 Vilnius
Tel.: 219 3091, 219 5020, fax 215 1585
47 Didlaukio, LT-08303 Vilnius

E-mails: ,

Head - Dr. Tadas Meškauskas

STAFF

Professors: Habil. Dr. F. Ivanauskas, Dr. A. Juozapavičius.
Associate professors: Dr. E. Janiūnienė (part-time), Dr. K. Karčiauskas, Dr. P. Kasparaitis, Dr. R Krasauskas, Dr. T. Meškauskas, Dr. S. Zubė.
Lecturers: Dr. M. Beniušė, Dr. A. Brilingaitė, Dr. L. Bukauskas, Dr. V. Čeikutė (part-time), Dr. A. Čivilis, Dr. J. Ignatavičiūtė, Dr. M. Puida, Dr. V. Rapševičius, Dr. S. Sajavičius (part-time), Dr. J. Tamulienė (part-time), L. Antanaitis, L. Būtėnas, T. Dagys, E. Kutka, T. G. Lipnevičius (part-time), R. Malakauskas, R. Markauskas (part-time), V. Masiulionytė-Dagienė (part-time), K. Mickus, M. Savickas (part-time), B. Šulmanas (part-time).
Research fellows: Habil.dr. F. Ivanauskas, Dr. K. Karčiauskas.
Doctoral students: R. Astrauskas, J.V. Daugmaudis, A.V. Misiukas Misiūnas, V. Okockis, K. Olechnovič.

RESEARCH INTERESTS

Methods and applications of non-linear and computational modelling, computational geometry
Methods of computer vision, medical imaging, digital imaging, speech and signal processing, data structures and algorithms
Computational modelling of chemical and biological processes and systems
Internet technology and information systems
Location based services and database management systems
Computer networks
Cloud and parallel computing, virtualization

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Research and Analysis of Methods for Nonlinear, Numerical, Computational and Geometric Modelling, Design and Analysis of Data Base and Data Mining Methods, Image, Signal and Visual Processing. Prof. F. Ivanauskas. 2013–2015.

An algorithm for automatic spike detection in EEG (electrocardiogram), based on mathematical morphological filters, was proposed and examined.
Quaternion representation of Dupin cyclide surfaces was proposed and investigated.
Three-dimensional reconstruction technique to fully characterize structural performance of solid materials was suggested.
Computer modeling of synthesis of strontium stannates at high temperatures was performed.
The space of n-sided caps of degree bi-5 was explored, focusing on functionals to set degrees of freedom and to optimally propagate and average out curvature from the bi-cubic complex.

Main publications:

Karčiauskas, K., Peters, J. 2015. Biquintic G2 surfaces via functionals. Computer Aided Geometric Design, vol. 33, 17–29.

Kareiva, S., Selskis, A., Ivanauskas, F., Sakirzanovas, S. 2015. Stereophotography and spatial surface reconstruction using scanning electron microscopy images. Pure and applied chemistry, vol. 57, iss. 3, 283–292.

Zubė, S., Krasauskas, R. 2015. Representation of Dupin cyclides using quaternions. Graphical Models, vol. 82, 110–122.

National Research Projects

Theoretical and Engineering Aspects of E-Service Technology Development and Application in High-Performance Computing Platforms (Grant agreement No. VP1-3.1-ŠMM-08-K-01-010) funded by the European Social Fund.  Prof. G. Dzemyda, Dr. T. Meškauskas. 2012– 2015.

Development of software in efficient computing infrastructures for solving nonlinear parabolic equations as well as for providing services for computer modeling of biochemical and chemical processes.

Services Controlled through Spoken Lithuanian Language (LIEPA) (No. VP2-3.1-IVPK-12-K-01-001) funded by the European Social Fund. Prof. L.Telksnys, Dr. P. Kasparaitis, Dr. M. Beniušė. 2013–2015.

Development of Lithuanian text-to-speech synthesizer.

International Research Projects

EU Horizon 2020 project. Supercomputing Expertise for Small and Medium Enterprises (Sesame NET). (No. 654416). E. Kutka. 2015–2017.

Supporting one network of HPC competence centres promote access to computational expertise anywhere in Europe and enable the dissemination of best practice in HPC industrial use particularly for SMEs.

Collaborating with CERN. CMS Software and Data Bases. A. Juozapavičius. 2014–2015.

The project covers numerous R&D topics, covered by creating, development and maintaining the software and data bases, including web based applications, crucial for CMS Experiment. These topics belong to digital science and computing theory and praxis.

Contractual Research

Project Lituanica SAT-2 (NanoAvionics JSC and Vilnius University).

It is a 3U CubeSat in-orbit technology demonstration mission led by Vilnius University. The mission is a part of a network of 50 nano-satellites called QB50 that will be launched together in the first half of 2016.Objective of the mission is to carry out long term measurements of key parameters and constituents in yet largely unexplored lower thermosphere and ionosphere.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Aalborg University (Denmark)
CERN (Switzerland)
European Space Agency (France)
Georgia Institute of Technology (USA)
Kaunas University of Technology (Lithuania)
Nanoavionics, JSC (Lithuania)
University of Alberta (Canada)
University of Bozen-Bolzano (Italy)
University of Tartu (Estonia)
Vilnius Gediminas Technical University (Lithuania)

OTHER SCIENTIFIC ACTIVITIES

Prof. F. Ivanauskas –

  • Chairman of the Division of Mathematical, Physical and Chemical Sciences of the Lithuanian Academy of Sciences, http://lma.lt/index.php?lang=lt;
  • member of the Lithuanian Academy of Sciences;
  • President of the Council of Visoriu Information Technology Park, http://www.vitp.lt/lt/apie-vitp/taryba;
  • editor-in-chief of the journal Nonlinear Analysis: Modelling and Control, http://www.mii.lt/NA/;
  • editorial board member of the Lithuanian Mathematical Journal;
  • editorial board member of the Journal of Civil Engineering and Management;
  • editorial board member of the journal Mathematical Modelling and Analysis;
  • board member of the  Council of Vilnius University;
  • board member of Lithuanian Mathematicians Association;
  • board member of the Council of Fundamental Sciences Faculty of Vilnius Gediminas Technical University.

Prof. A. Juozapavičius –

  • editorial board member of the journal Nonlinear Analysis: Modelling and Control, http://www.mii.lt/NA/;
  • deputy Chairman in CMS Collaboration (CERN).

Assoc. Prof. R. Krasauskas –

  • editorial board member of the journal Lithuanian Mathematical Journal;
  • advisory board member of Effective Methods in Algebraic Geometry (MEGA) conferences.

Dr. A. Brilingaitė –

  • member of Association for Computing Machinery (ACM).

Dr. L. Bukauskas –

  • member of ACM Special Interest Group on the Management of Data (SIGMOD);
  • board member of Technical Committee No. 86 for digital geographic information at the Department of Standardization.

Dr. S. Sajavičius –

  • member of Society for Industrial and Applied Mathematics (SIAM);
  • member of the American Mathematical Society (AMS);
  • member of the International Association of Engineers (IAENG). 

 

DEPARTMENT OF DIDACTICS OF MATHEMATICS AND INFORMATICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3086
E-mail: 

Head - Assoc. Prof. Dr. Edmundas Mazėtis

STAFF

Professor: Dr. V. Dagienė (part-time).
Associate professors: Dr. A. Apynis, Dr. A. Elijio, Dr. E. Gaigalas, Dr. T. Jevsikova (part-time), Dr. R. Kašuba, Dr. R. Kudžma, Dr. E. Mazėtis.
Lecturers: Dr. Š. Repšys, Dr. A. Novikas.

RESEARCH INTERESTS

Research of paradigms, prevailing in mathematics and informatics (IT) teaching in secondaryschool and university
Research of mathematical problems and mathematical models
Development of working methods with children gifted in mathematics and informatics

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Analysis of Mathematics and Informatics (IT) Teaching Methods and Applications. Prof. V. Dagienė. 2011–2015.

Positive psychological consequences of effective moments in problem solving and posing as well as their influence to the human creativity have been analysed.
Investigation of the priorities for choosing subjects and external as well as internal motives that predetermine them, examines the issues of self-reflection on choosing exact subjects and analyses the links between the choice of exact subjects and the further professional learners’ career.

Main publications:

Elijio, A., Čekanavičius, V., 2015. Compound Poisson approximation to weighted sums of symmetric discrete variables. Annals of the Institute of Statistical Mathematics. vol. 67, iss. 1, 195–210.

Kašuba, R. 2015. The 25th Baltic Way Team Contest 6–10 November 2014, Vilnius, Lithuania. Mathematics Competitions, vol. 28, no. 1, 34–41.

Kašuba, R. 2015. Human psychology, challenges and responses. The Proceedings of the 12th International Congress on Mathematical Education : Intellectual and attitudinal challenges, Seoul, Korea, July 8–15, 2012/Ed.: Cho, Sung Je. Heidelberg, Springer.

International Research Projects

FETCH Future Education and Training in Computing: How to support learning at anytime anywhere. No 539461-LLP-1-2013-1-BG-ERASMUS-ENW. Prof. V. Dagienė. 2013–2016.

It is 2nd year of the three-year European project FETCH. It involves 67 partners from 35 countries. All of them are active researchers in the field of Computing Education. Researchers will work on the re-organisation of the teaching process by changing teaching methods, developing new didactical theories and learning models for using social media in education and new Digital Curricula in Computing Education and Training.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Lithuanian University of Educational Sciences (Lithuania)
University of Eastern Finland
University of Ljubljana (Slovenia)
Tartu University (Estonia)
Weizmann Institute of Science (Israel)
Istanbul University (Turkey)

OTHER SCIENTIFIC ACTIVITIES

Assoc. Prof. A. Apynis –

Prof. V. Dagienė –

Assoc. Prof. T. Jevsikova –

Assoc. Prof. R. Kašuba –

  • representative of Lithuania in ICMI (The International Commission on Mathematical Instruction), ;
  • board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • board member of the Lithuanian Kangaroo Committee, http://www.kengura.lt ;
  • editorial board member of the MCG Mathematical Creativity and Mathematical Giftedness Newsletter, Editor of Problem corner.

Assoc. Prof. R. Kudžma –

  • editorial committee member of the journal Nordisk Matematikk Didaktikk, (Nordic Studies in Mathematics Education);
  • board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • scientific committee member of the 16th international conference Teaching Mathematics: Retrospective and Perspectives, May 7–9, 2015, Palanga, http://www.mif.vu.lt/teachmath2015/.

Assoc. Prof. E. Mazėtis –

Dr. A. Novikas –

  • executive committee member of the 16th international conference Teaching Mathematics: Retrospective and Perspectives, May 7–9, 2015, Palanga, http://www.mif.vu.lt/teachmath2015/.

Dr. Š. Repšys –

 

DEPARTMENT OF DIFFERENTIAL EQUATIONS AND NUMERICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3084,  fax 215 1585
E-mail: 

Head - Prof. Habil. Dr. Konstantinas Pileckas

STAFF

Professors: Habil. Dr. K. Pileckas, Dr. A. Štikonas (part-time).
Research fellow: Habil. Dr. K. Pileckas.
Affiliate professor: Dr. V. Skakauskas.
Associate professors: Dr. A. Ambrazevičius, Dr. V. Daukšas (part-time), Dr. P. Katauskis, Dr. A. Kavaliauskas, Dr. A. Kregždė, Dr. M. Meilūnas (part-time), Dr. G. Puriuškis, Dr. S. Rutkauskas (part-time), Dr. O. Štikonienė.
Lecturers: Dr. A. Domarkas, Dr. K. Kaulakytė, Dr. M. Skujus.
Doctoral students: A. Eismontaitė, R. Mazgelis, J. Novickij, G. Paukštaitė.

RESEARCH INTERESTS

Investigation of differential, integrodifferential and nonlocal equations; analysis and numerical methods

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Investigations of Solutions to Differential and Integro-differential Equations. Prof. K. Pileckas. 2014– 2017.

Proposed and numerically studied differential models for: protein biosynthesis and its inhibition by ricin toxin; dimer-trimer and trimer-trimer surface reactions on composite catalysts.
The solvability of the Navier-Stokes equations with nonzero boundary condition in the symmetric 2D domain with both paraboloidal and cylindrical outlets to infinity was proved without restrictions on the size of flow-rates and the asymptotic estimates were obtained.

Main publications:

Skakauskas, V., Katauskis, P., Skvortsov, A., Gray, P. 2015. Toxin effect on protein biosynthesis in eukaryotic cells: a simple kinetic model. Mathematical Biosciences, vol. 261, 83–90.

Skakauskas, V., Katauskis, P. 2015. Computational study of the dimer–trimer and trimer–trimer reactions on the supported catalysts. Computational and Theoretical Chemistry, vol. 1070, 102–107.

International Research Projects

Joint Vilnius University and University of Zurich research project Assymptotic Problems and Applications supported by the Lithanian-Swiss program Research and Development under the agreement No. CH-3-ŠMM-01/01. Prof. K. Pileckas. 2012–2016.

The existence of a solution to the non-homogeneous BVP for the steady Navier–Stokes equations was solved in arbitrary bounded multiply connected plane domains and in axially-symmetric 3D domains under the necessary condition of zero total flux through the boundary. The problem was formulated by J. Leray 80 years ago.
The non-steady Navier-Stokes equations with Dirichlet boundary conditions were considered in thin tube structures. The complete asymptotic expansion of the solution was constructed.

Main publications:

Korobkov, M., Pileckas, K., Russo, R. 2015. Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains. Annals of Mathematics, vol. 181, iss. 2, 769–807.

Panasenko, G., Pileckas, K. 2015. Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. I. The case without boundary-layer-in-time. Nonlinear Analysis: Theory, Methods & Applications, vol. 122, 125–168.

Panasenko, G., Pileckas, K. 2015. Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. II. General case. Nonlinear Analysis: Theory, Methods & Applications, vol. 125, 582–607.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Zurich, Zurich (Switzerland)
University of Saint Etienne, Saint Etienne (France)
Seconda Università degli Studi di Napoli, Caserta (Italy)
University of Novosibirsk, Novosibirsk (Russia)
Defence Science and Technology Organisation, Melbourne (Australia)

OTHER SCIENTIFIC ACTIVITIES

Prof. K. Pileckas –

  • member of the Lithuanian Academy of Sciences;
  • chairman of the Committee of Natural and Technical Sciences of Research Council of Lithuania;
  • editorial board member of the journal Mathematical Fluid Mechanics;
  • editorial board member of the journal Mathematical Modelling and Analysis;
  • editorial board member of the  Lithuanian Mathematical Journal;
  • editorial board member of the Journal of Elliptic and Parabolic Equations;
  • scientific committee member of the international conference Mathematical Fluid Mechanics: Old Problems, New Trends, http://bcc.impan.pl/15Navier.

Assoc. Prof. O. Štikonienė –

  • managing Editor of the journal Lithuanian Mathematical Journal, www.mii.lt/lmj.

Prof. A. Štikonas –

  • deputy-editor-in-chief of the journal Nonlinear Analysis: Modelling and Control;
  • editorial board member of the journal Mathematical Modelling and Analysis;
  • editorial board member of the journal Lithuanian Mathematical Journal,

Prof. S. Rutkauskas –

  • editorial board member of the journal Mathematical Modelling and Analysis;
  • editorial board member of the journal Lithuanian Mathematical Journal.

Dr. M. Skujus -

A. Eismontaitė -

 

DEPARTMENT OF ECONOMETRIC ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3076
E-mail:

Head – Prof. Habil. Dr. Alfredas Račkauskas

STAFF

Professors: Habil. Dr. V. Čekanavičius, Habil. Dr. R. Leipus, Habil. Dr. R. Norvaiša, Habil. Dr. A. Račkauskas, Habil. Dr. M. Radavičius (part-time).
Associate professors: Dr. V. Kvedaras, Dr. R. Lapinskas, Dr. A. Maldeikienė, Dr. G. Murauskas.
Lecturers: Dr. G. Blažys (part-time), Dr. D. Celov, Dr. J. Markevičiūtė,  Dr. V. Zemlys, V. Butkus (part-time), R. Malukas (part-time), V. Maniušis.
Assistants: A. Reklaitė (part-time), J. Šliogerė (part-time).
Doctoral students: L. Dindienė, J. Jarutis, L. Naruševičius, A. Reklaitė, J. Šliogerė, M. Tartėnas.

RESEARCH INTERESTS

Time series analysis, financial econometrics
Functional data analysis
Limit theorems in probability and their applications to statistics and econometrics
Bootstrap and other resampling methods in statistics and econometrics
Macroeconometric modelling
High frequency data analysis

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Research in Probability Theory and Stochastic Processes and their Applications in Econometrics, Financial and Actuarial Mathematics. Prof. V. Paulauskas, Prof. A. Račkauskas. 2010–2015.

New functional limit theorems for the first order autoregressive process with self-normalization were obtained. Biomedical FNIRS data have been analyzed using sttatistical and functional data analysis techniques.
Nonparametric estimation in the panel random-coefficient AR(1) model and its relation with the long memory property was considered. Some new results on closure property of the weighted sums of nonidentically distributed heavy-tailed random variables were proved.

Main publications:

Yang, Y., Leipus, R., Dindienė, L. 2015. On the max-sum equivalence in presence of negative dependence and heavy tails. Information Technology and Control, vol. 44, no. 2, 215–220.

Hansen, J. D., Kvedaras, V., Nielsen, J. U. M. 2015. Creative destruction and export patterns. The Journal of International Trade & Economic Development, vol. 24, no. 3, 373–394.

Dirmeikis, Š., Norvaiša, R. 2015. An extended product integral, a modified linear integral equation, and functions of bounded p-variation. Lithuanian Mathematical Journal, vol. 55, no. 3, 343–366.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Lille (France)
Utah University (USA)
York University (England)
Tilburg University (The Netherlands)
Karol Adamiecki University of Economics in Katowice (Poland)

OTHER SCIENTIFIC ACTIVITIES

Prof. A. Račkauskas –

Prof. V. Čekanavičius –

Prof. R. Leipus –

Prof. R. Norvaiša –

  • editorial board member of the Lithuanian Mathematical Journal.

Assoc. Prof. V. Kvedaras –

 

DEPARTMENT OF MATHEMATICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3074, 219 3083, 219 3085
E-mail:

Head – Prof. Dr. Jonas Šiaulys

STAFF

Professors: Habil. Dr. V. Mackevičius, Habil. Dr. V. Paulauskas, Dr. G. Stepanauskas, Dr. J. Šiaulys.
Associate professors: Dr. G. Bakštys (part-time), Dr. M. Manstavičius, Dr. A. Plikusas.
Lecturers: Dr. A. Juozulynas, Dr. K. Liubinskas, Dr. D. Puplinskaitė, Dr. A. Skučaitė, J. Damarackas (part-time), A. Lenkšas.
Doctoral students: E. Bernackaitė, J. Damarackas, E. Ignatavičiūtė, A. Korvel, G. Lileika, O. Navickienė, L. Žvinytė.

RESEARCH INTERESTS

Mathematical analysis
Functional analysis
Limit probability theorems in infinite-dimensional spaces
Stochastic analysis
Actuarial mathematics
Financial mathematics
Asymptotic analysis of econometric models

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Research in Probability Theory and Stochastic Processes and their Applications in Econometrics, Financial and Actuarial Mathematics. Prof. V. Paulauskas, Prof. A. Račkauskas. 2010–2015.

A rigorous proof of the order for previously constructed second-order approximations of the Heston model by discrete random variables is obtained. An asymptotic formula is derived for the conditional tail expectation of randomly weighted sum of random variables. The conditions are established under which the distribution of random sum remains in the class of O-exponential distributions. A necessary condition is found for the finiteness of p-variation of trajectories of Ito processes that are Markovian (also known as Levy-type processes). New bounds are obtained for the multivariate Clayton copula, which were used to show the upper extended negative dependence property for this distribution.

Main publications:

Lenkšas, A., Mackevičius, V. 2015. Weak approximation of Heston model by discrete random variables. Mathematics and Computers in Simulation, vol. 113, 1–15.

Yang, Y., Ignatavičiūtė, E., Šiaulys, J. 2015. Conditional tail expectation of randomly weighted sums with heavy-tailed distributions. Statistics and Probability Letters, vol. 105, 20–28.

Puplinskaitė, D., Surgailis, D. 2015. Scaling transition for long-range dependent Gaussian random fields. Stochastic Processes and their Applications, vol. 125, iss. 6, 2256–2271.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Nantes (France)
University of Bonn (Germany)
Soochow University (China)
Nanjing Audit University (China)

OTHER SCIENTIFIC ACTIVITIES

Prof. V. Mackevičius –

Prof. V. Paulauskas –

Prof. J. Šiaulys –

  • editorial board member of the Lithuanian Mathematical Journal;
  • editorial borard member of the Modern Stochastics: Theory and Applications;
  • member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html;
  • reviewer for Mathematical Reviews;
  • reviewer for Zentralblatt MATH.

Prof. G. Stepanauskas –

Assoc. Prof. G. Bakštys –

Dr. M. Manstavičius –

Dr. A. Skučaitė –

 

DEPARTMENT OF MATHEMATICAL COMPUTER SCIENCE

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5030 fax.  215 1585
Email:

Head – Asoc. Prof. Dr. Vilius Stakėnas

STAFF

Professors: Habil. Dr. M. Bloznelis, Dr. S. Gražulis (part-time), Habil. Dr. Ž. Lukšienė (part-time), Dr. G. Stepanauskas (till 2015 08 31).
Associate professors: Dr. G. Bareikis, Dr. A. Mačiulis, Dr. V. Stakėnas, Dr. V. Zacharovas.
Lecturers: I. Grinis, K. Kvederavičiūtė (part-time).
Research fellow: Dr. G. Alkauskas.
Doctoral students: M. Kepalas, L. Žvinytė (till 2015 08 31).

RESEARCH INTERESTS

Probabilistic analysis of number-theoretical structures
Combinatorial statistics
Random discrete structures and algorithms

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Analysis of Discrete Structures by Probabilistic, Combinatorial and Analytical Methods. Prof. M. Bloznelis, Prof. G. Stepanauskas. 2011–2015.

An asymptotic formula for the second moment of a random process related to the natural divisors was shown. The evolution of probabilistic number theory is surveyed with a focus on the ideas and insights J.Kubilius has contributed to or influenced further development of.
Several new estimates of χ2 distance between binomial and generalized binomial distributions have been obtained.
Various tail asymptotics have been established for the bivariate distribution of the degrees of a random pair of adjacent vertices of an inhomogeneous random intersection graph possessing tunable power law degree distribution and clustering coeffcient.

Main publications:

Bareikis, G., Mačiulis, A. 2015. On the second moment of an arithmetical process related to the natural divisors. Ramanujan Journal, vol. 37, iss. 1. 1–24.

Stakėnas, V. 2015. Jonas Kubilius and genesis of probabilistic number theory. Lithuanian Mathematical Journal, vol. 55, no. 1, 25–47.

Hwang, H.-K., Zacharovas, V. 2015. Limit distribution of the coefficients of polynomials with only unit roots. Random Structures and Aalgorithms, vol. 46, no. 4, 707–738.

National Research Projects

Research Council of Lithuania. Structural Functional Equations: Projective Flows, Transfer Operators, Minkowski Question Mark Function, and Modular Forms (No MIP-072/2015), Dr. G. Alkauskas. 2015–2018.

Research on abelian and algebraic projective flows (classification of arithmetic nature of projective flows), quasi-modular forms (integrating the Minkowski question mark function into the modular world), transfer operators for the Gauss’ continued fraction map (proving asymptotic formula for the eigenvalues), and on the intersection of combinatorics and combinatorial group theory (finding generating function of unity-representing words in the full modular group).

Main publication:

Alkauskas, G. 2015. The projective translation equation and unramified 2-dimensional flows with rational vector fields. Aequationes Mathematicae, vol. 89, no. 3, 873–913.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Aalto University (Finland)
Bielefeld university (Germany)
Poznan Adam Mickiewicz university (Poland)

OTHER SCIENTIFIC ACTIVITIES

Dr. G. Alkauskas –

Assoc. Prof. G. Bareikis –

Prof. M. Bloznelis –

Assoc. Prof. A. Mačiulis –

Assoc. Prof. V. Stakėnas –

Prof. G. Stepanauskas (till 2014 08 31) –

 

DEPARTMENT OF MATHEMATICAL STATISTICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3065, fax. 215 1585
E-mail:

Head – Prof. Dr. Vytautas Kazakevičius

STAFF

Professors: Habil. Dr. V. Bagdonavičius, Dr. V. Kazakevičius.
Associate professors: Dr. R. Eidukevičius, Dr. J. Kruopis, Dr. R. Levulienė, Dr. M. Vaičiulis (part-time), Dr. P. Vaitkus.
Lecturer: Dr. V. Skorniakov.
Doctoral student: S. Staskevičiūtė.

RESEARCH INTERESTS

Statistical methods in reliability theory and survival analysis and their applications
Asymptotic analysis of distributions of statistics, their approximations and applications
Neural networks
Process control

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Models of Mathematical Statistics, their Analysis and Applications. Prof. V. Bagdonavičius. 2015–2019.

Tests for outlier detection were proposed and their properties were investigated. Goodness-of-fit tests for location-scale families were proposed and investigated. Goodness-of-fit tests for regression models were constructed.
Regular stochastically continuous random functions were defined and their relationship with Feller chains was investigated.
In collaboration with Faculty of Medicine the interaction of immune system and tumours was analyzed.
Estimators of the Hurst index for SDE driven by fractional Brownian motion were investigated.

Main publications:

Bagdonavičius, V., Nikulin, M., Zerbet, A. 2015. On outliers detection for location-scale and shape-scale families. Записки научных семинаров ПОМИ. Санкт-Петербург, vol.439, 1–13.

Kubilius, K., Skorniakov, V., Melichov, D. 2015. Estimation of parameters of SDE driven by fractional Brownian motion with polynomial drift. Journal of Statistical Computation and Simulation, online: 09 Oct 2015.

Vaičiulis, M. 2015. Local maximum based tail index estimator. Current Topics on Rrisk Analysis: ICRA6 and RISK 2015 conference. Madrid, Fundación MAPFRE, 803–809.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Bordeaux Victor Segalen University (France)
Padova University (Italy)
Blue ventures (London, Great Britain)
Environment & rural development foundation (Cameroon)

OTHER SCIENTIFIC ACTIVITIES

Prof. V. Bagdonavičius –

Prof. V. Kazakevičius, Assoc. Prof. R. Eidukevičius, Assoc. Prof. J. Kruopis, Dr. R. Levulienė, Dr. V. Skorniakov, Dr. M. Vaičiulis, Assoc. Prof. P. Vaitkus –

  • members of the Lithuanian Mathematical Society.

 

DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY

24 Naugarduko, LT–03225 Vilnius
Tel. 219 3079, fax 215 1585
E-mail:

Head - Prof. Habil. Dr. Antanas Laurinčikas

STAFF

Professors: Habil. Dr. A. Laurinčikas, Habil. Dr. E. Manstavičius, Dr. R. Garunkštis (part-time).
Chief research fellows: Habil. Dr. A. Dubickas, Dr. R. Garunkštis (part-time).
Associate professor: Dr. P. Drungilas.
Lecturers: Dr. A. Grigutis, Dr. A. Javtokas, Dr. A. Kačėnas (part-time), Dr. J Šiurys, Dr. A. Zinevičius (part-time).
Assistants: R. Petuchovas (part-time), V. Stepas (part-time), G. Šemetulskis (part-time), R. Šimėnas (part-time).
Senior specialist: Dr. H. Jasiūnas.
Postdoctoral fellow: J. Kalpokas.
Doctoral students: J. Atstopienė, K. Janulis, L. Meška, D. Mochov, R. Petuchovas, A. Rimkevičienė, V. Stepas, G. Šemetulskis, R. Šimėnas, R. Tamošiūnas.

RESEARCH INTERESTS

Algebraic number theory
Analytic number theory
Combinatorics
Probabilistic number theory

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Problems of Algebraic and Analytic Number Theory. Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2014–2018.

The Speiser equivalent for the Riemann hypothesis was investigated.
The size of the Selberg zeta-function at planes symmetric with respect of the critical line was found.
Joint discrete universality theorems of new type for Hurwitz zeta-functions and Dirichlet L-functions were obtained. It was shown that there are only finitely many distance-regular graphs at fixed valency greater than two. An explicit form of Cassels’ p-adic embedding theorem for a number field was proved. Enumeration of combinatorial structures with a given component pattern was extended.

Main publications:

Bang, S., Dubickas, A., Koolen, J. H., Moulton, V. 2015. There are only finitely many distance-regular graphs of fixed valency greater than two. Advances in Mathematics, vol. 269, 1–55.

Buivydas, E., Laurinčikas, A. 2015. A discrete version of the Mishou theorem. Ramanujan J., vol. 38, no. 2, 331–347.

Dubickas, A., Sha, M., Shparlinski, I. E. 2015. Explicit form of Cassels’p-adic embedding theorem for number fields. Canadian Journal of Mathematics, vol. 67, no. 5, 1046–1064.

Development of the Lithuanian Mathematics. Prof. A. Laurinčikas, Prof. E. Manstavičius. 2011–2015.

The contribution of Lithuanian mathematicians to the world heritage was explored.

Main publication:

Kubilius, J. Matematika Lietuvos aukštosiose mokyklose 1921-1944 metais (Mathematics in Lithuanian Universities in 1921–1944).  Kubilius, K., Manstavičius, E., Pekarskas, V., Sapagovas, M. (eds.). Vilnius: Vilniaus universiteto leidykla, 2015, 184 p.

National Research Projects

Research Council of Lithuania. Properties of Zeta-functions of the First and Second Order (No. MIP-049/2014). Prof. R. Garunkštis. 2014–2017.

The following results were established: let Z(s) be the Selberg zeta-function associated with a compact Riemann surface. We proved that the imaginary parts of the nontrivial a-points of Z(s) are uniformly distributed module one. It was shown that almost all a-values of the Selberg zeta-function for the modular group are clustered around the critical line. We proved the Speiser type equivalent for the Lerch zeta-function with equal parameters. The discrete moment for the Lerch zeta-function over the zeros of the Dirichlet L-function is obtained.

Research Council of Lithuania. Sequences of Algebraic Numbers and their Heights (No. MIP-068/2013). Assoc. Prof. P. Drungilas. 2013–2015.

The necessary and sufficient conditions established for the rings generated by the conjugates of a given algebraic number to coincide. Formulas for the number of unimodular roots and roots inside the unit disc of certain Littlewood polynomials established. The upper bound for the multiplicity of a root 1 of complex polynomials proved. For certain class of numbers, connected to the Thue-Morse sequence, the upper bound for the irrationality exponent obtained. By constructing number fields, containing nonreciprocal units with particular properties, it was proved that Oeljeklaus-Toma manifolds admit no locally conformal Kähler metric.

Main publications:

Borwein, P., Choi, S., Ferguson, R., Jankauskas, J. 2015. On Littlewood polynomials with prescribed pumber of zeros inside the unit disk. Canadian Journal of Mathematics, vol. 67, no. 3, 507–526.

Drungilas, P., Dubickas, A., Jankauskas, J. 2015. On relations for rings generated by algebraic numbers and their conjugates. Annali di Matematica Pura ed Applicata, vol. 194, 369–385.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of New South Wales, Sydney (Australia)
University of Edinburg (UK)
Nagoya University (Japan)
Würzburg University (Germany)
Moscow University (Russia)

OTHER SCIENTIFIC ACTIVITIES

Prof. A. Dubickas –

Prof. A. Laurinčikas –

Prof. E. Manstavičius –

Prof. R. Garunkštis –

 

DEPARTMENT OF SOFTWARE ENGINEERING

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040, fax 215 1585
E-mail:

Head – Prof. Dr. Romas Baronas

STAFF

Professors: Dr. R. Baronas, Dr. S. Minkevičius (part-time).
Associate professors: Dr. V. Čyras, Dr. S. Dapkūnas, Dr. K. Lapin, Dr. A. Lupeikienė (part-time), Dr. K. Petrauskas, Dr. S. Ragaišis, Dr. G. Slivinskas (part-time).
Lecturers: Dr. V. Ašeris (part-time), Dr. A. Glemža (part-time), Dr. A. Kurtinaitis (part-time), Dr. E. Pakalnickienė (part-time), Dr. T. Plankis, Dr. S.Peldžius, Dr. A. Šermokas (part-time), Dr. A. Vaitkevičienė (part-time), A. Adamonis (part-time), D. Čiukšys, V. Golubevas (part-time), V. Jusevičius (part-time), Ž. Ledas (part-time), V. Pozdniakov (part-time), V. Valaitis.
Assistants: V. Karpavičius (part-time), L. Litvinas (part-time), T. Rukšėnas (part-time), I. Šurpicka (part-time), J. Vysockytė (part-time ), K. Uosis (part-time).
Postdoctoral fellow: Dr. R. Jasevičius.
Doctoral students: E. Greičius, Ž. Ledas, L. Litvinas, L. Ričkus.

RESEARCH INTERESTS

Software process modelling, assessment and improvement
Modern software development technologies
Software quality assessment
Teaching software engineering
User experience quality in mobile applications
Legal informatics
Computer calculations in mathematics
Computational modelling of chemical and biological processes and systems

Reliability of multi-server computer networks

RESEARCH PROJECTS CARRIED OUT IN 2015

Projects Supported by University Budget

Modelling of Computerized Systems and Their Development Process. Prof. R. Baronas. 2012–2016.

Approach to software process assessment using multiple process assessment models
A design approach for educational websities accessed by mobile devices
Investigated effect of the dimensionality of the bacterial self-organization in a rounded container
Computational model of bacterium-surface interaction
Computational model of the normal adhesive elastic–plastic interaction of a bacterium
Models of quality, user experience and legal issues
An open queueing network model in light traffic and heavy traffic
The probability limit theorem for the idle time process of customers in light traffic in open queueing networks

Main publications:

Jasevičius, R., Baronas, R., Kruggel-Emden, H. 2015. Numerical modelling of the normal adhesive elastic–plastic interaction of a bacterium. Advanced Powder Technology, vol. 26, 742–752.

Baronas, R., Ledas, Ž., Šimkus, R. 2015. Computational modelling of the bacterial self-organization in a rounded container: the effect of dimensionality. Nonlinear Analysis: Modelling and Control, vol. 20, no. 4, 603–620.

Čyras, V., Lachmayer, F., Lapin K. 2015. Structural legal visualization. Informatica, vol. 26, no. 2, 199–219.

National Research Projects

European Social Fund under Measure VP1-3.1-SMM-07-K Support to Research of Scientists and Other Researchers (GlobalGrant), http://www.biomoda.mif.vu.lt/. Developing Computational Techniques, Algorithms and Tools for Efficient Simulation and Optimization of Biosensors of Complex Geometry. Prof. R. Baronas. 2011–2015.

Computational model for nano-structured carbon materials used for biosensing applications.
Computational model for multi-layered biosensor based on chemically modified electrode.

Main publications:

Razumiene, J., Sakinyte, I., Barkauskas, J., Baronas, R. 2015. Nano-structured carbon materials for improved biosensing applications. Applied Surface Science, vol. 334, 185–191.

Ašeris, V., Baronas, R., Petrauskas, K. 2015. Computational modelling of three-layered biosensor based on chemically modified electrode. Computational and Applied Mathematics, doi:10.1007/s40314-014-0197-9.

EU Social Fund project. Theoretical and Engineering Aspects of e-Service Technology Development and Application in High-performance Computing Platforms. (No. VP1-3.1-ŠMM-08-K-01-010). V. Čyras, K. Lapin, S. Dapkūnas. 2012–2015.

Main publications:

Čyras, V., Lachmayer, F., Lapin, K. 2015. Structural legal visualization. Informatica, vol. 26, no. 2, 199–219.

Čyras, V., Lachmayer F. 2015. Logic oriented methods for structuring in the context of lawmaking. In: M. Araszkiewicz, K. Płeszka (eds.) Logic in the Theory and Practice of Lawmaking, series Legisprudence Library, vol. 2, 459–478.

Čyras, V., Lachmayer, F. 2015. Towards multidimensional rule visualizations. In: M. Araszkiewicz et al. (eds.) Problems of Normativity, Rules and Rule-Following, series Law and Philosophy Library, vol. 111, 445–455.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Innsbruck (Austria)
Center for Physical Sciences and Technology (Lithuania)
CC Fermentas, part of Thermo Fisher Scientific (Lithuania)

OTHER SCIENTIFIC ACTIVITIES

Prof. R. Baronas –

Assoc. Prof. S. Ragaišis –

  • member of technical program commitee of 15th international conference on Software Process Improvement and Capability Determination (SPICE 2015), Gothenburg, Sweden, 16–17 June, 2015, http://www.spiceconference.com/.

Assoc. Prof. V. Čyras –

Assoc. Prof. A. Lupeikienė –