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prof. dr. Igoris Belovas

Department: Intelligent Technologies Research Group
Position: Senior Researcher, Professor

Address: Akademijos st. 4, room 621, Vilnius
Phone: (+370 5) 210 9339
E-mail:

 

Scientific and pedagogical background

  • Professor and  Senior Researcher, Vilnius University Institute of Data Science and Digital Technologies, (2021 / 2019)
  • PhD in Mathematics, Institute of Mathematics and Informatics (and VGTU), 2004.

 

Research interests

 

  • Mathematical modelling 
  • Analytic number theory and combinatorial analysis

 

Scientific publications

Publications with VU Institute of Data Science and Digital Technologies & Institute of Mathematics and Informatics affiliation

Principal publications (2019-2022): 

  1. Belovas, I. (2022). Central and local limit theorems for the weighted Delannoy numbers. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, [1–20] [accepted]
  2. Belovas, I., Sakalauskas, L. Starikovičius, V. (2022). A method for accelerated computation of the Riemann zeta function on the complex plane. Publicationes Mathematicae Debrecen, [1–19] [accepted]. DOI: 10.5486/PMD.2022.9120
  3. Belovas, I. (2021). Limit theorems for numbers satisfying a class of triangular arrays // Glasnik matematički. ISSN 0017-095X. 2021, [1-29] [online first].
  4. Belovas, I. (2021). Series with binomial-like coefficients for the Riemann zeta function. Annali Di Matematica Pura Ed Applicata, [1–9] [onlime first]. DOI: 10.1007/s10231-021-01142-1
  5. Belovas, I., Sakalauskas, L., Starikovičius, V., Sun, E. W. (2021).  Mixed-stable models: an application to high-frequency financial data. Entropy, 23(6:739), 1–12.  DOI: 10.3390/e23060739
  6. Belovas, I. (2021). Central and local limit theorems for numbers of the tribonacci triangle. Mathematics, 9(8:880), 1-11. DOI: 10.3390/math9080880
  7. Belovas, I. (2021). An inequality for the modified Selberg zeta-function. Ramanujan Journal, 55(3), 1063-1082. ISSN: 1382-4090 ; eISSN: 1572-9303; DOI: 10.1007/s11139-020-00265-y
  8. Chaževskas, A., Belovas, I., Marcinkevičius, V. Forensic password examination in leaked user databases // Zborník príspevkov 17. medzinárodný kongres kriminalistika a forenzné vedy: veda, vzdelávanie, prax, 16-17 September 2021 Bratislava, Slovenská Republika / Štefan Zachar, Jozef Meteńko, Miriam Meteńková (eds.). Bratislava : Akadémia Policajného zboru v Bratislave, 2021. ISBN 9788080549053. p. 241-257.
  9. Belovas, I. (2021). Ribinės teoremos Floydo trikampiui: naujas požiūris į nenaują uždavinį. Lietuvos matematikos rinkinys. Serija B, 62, [1–6] [accepted]. 
  10. Belovas, I.,  Sabaliauskas, M. (2020). Series with binomial-like coefficients for the evaluation and 3D visualization of zeta functions. Informatica, 31(4), 1-22.
  11. Belovas, I. (2020). Centrinė ribinė teorema trikampių masyvų klasės skaičiams, asocijuotiems su Ermito daugianariais. Lietuvos matematikos rinkinys. Serija B, 61, 1–7. DOI: 10.15388/LMR.2020.22466
  12. Belovas, I. (2019). A local limit theorem for coefficients of modified Borwein's method. Glasnik Matematički. Ser.III, Zgreb : Hrvatsko Matematicko Drustvo. 54(1), 1-9. ISSN: 0017-095X. DOI: 10.3336/gm.54.1.01
  13. Belovas, I. (2019). An inequality for the Selberg zeta-function, associated to the compact Riemann surface. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica: Ovidius University Press, 27(3), 37-44. ISSN: 1224-1784; eISSN: 1844-0835. DOI: 10.2478/auom-2019-0032
  14. Belovas, I. (2019). A central limit theorem for coefficients of the modified Borwein method for the calculation of the Riemann zeta-function. Lithuanian Mathematical Journal. 59(1), 17-23. ISSN: 0363-1672; eISSN: 1573-8825; DOI: 10.1007/s10986-019-09421-4
  15. Belovas, I., Sakalauskas, L. (2019). An inequality for the modulus of the ratio of two complex gamma functions. Miskolc Mathematical NotesMiskolc: University of Miskolc, 20(1), 115-130. ISSN: 1787-2405; eISSN: 1787-2413; DOI: 10.18514/MMN.2019.2543
  16. Belovas, I. (2019). Modeling Baltic market indices: A comparison of models. Computer Data Analysis and Modeling: Stochastics and Data Science : Proceedings of the XII International Conference, Minsk, September 18-22, 2019, 144-147. ISBN: 9789855668115
  17. Belovas, I. (2019). Lokalinės ribinės teoremos Borveino algoritmo koeficientams įrodymas santykio metodu. Lietuvos Matematikos Rinkinys. Lietuvos matematikų draugijos Darbai, Ser.B, 60, 11-14. ISSN:0132-2818; eISSN: 2335-898X; DOI: 10.15388/LMR.B.2019.15208
  18. Belovas, I. (2019). Baltijos šalių akcijų lyginamojo indekso OMX Baltic Benchmark modelių tyrimas. Lietuvos Matematikos Rinkinys. Lietuvos matematikų draugijos Darbai, Ser. B, 60, 6-10. ISSN: 0132-2818; eISSN: 2335-898X; DOI: 10.15388/LMR.B.2019.15207

 

Scientific and other projects

 

  • 2012: „Parallel algorithms for the calculations of zeta-functions“ (CINECA, Casalecchio di Reno, Bologna; Head of the project);
  • 2012: „The mixed-stable modeling of high-frequency financial data: parallel computing approach“ (CINECA, Casalecchio di Reno, Bologna; Researcher);
  • 2010: „Limit theorems for the Riemann zeta-function and Dirichlet L-functions: computer simulation“ (CINECA, Casalecchio di Reno, Bologna; Head of the project);
  • 2010: „Mixed-stable models for analyzing high-frequency financial data“ (Institute of Economic Theory and Statistics, Karlsruhe Institue of Technology; Researcher);
  • 2010: „Parallel computing in estimation of parameters of alpha-stable distribution“ (CINECA, Casalecchio di Reno, Bologna; Researcher).

 

PhD Supervision

Scientific supervisor of PhD student:

  • Andrius Chaževskas "Application of text semantic analysis and machine learning algorithms for passwords guessing" (2020-2024)

 

Co-supervisor of PhD student:

  • Liudas Ališauskas  "Artificial intelligence methods for network intrusion detection systems" (2016-2021).

 

  • Member of Defence Council: 2 times;
  • Opponent: 1 time;
  • Reviewer: 3 times.