ELKH-BME Stochastics Research Group
Horizon Europe keywords:
· Next generation computing and data technologies
· Next Generation Internet
Introduction of the Research Group
The main research ares of our reserch are as follows: stochastic processes, discrete dynamical systems, fractal geometry, complex network theory and educational data scences.
Achievements
Statistical Physics decripttion of the mathetaical models of billiards.-Solving an important open question of david Aldous about the frozen percolations.
-Dimension of planar self-affine attractors
-Educational data scince desription of how the lenient behavior of teachers influence the students evaluation of educators.
Publications
1.) Hausdorff dimension of planar self-affine sets and measures, Invent. Math. 216 no. 3 (2019), 601-659.Bárny Balázs, Mike Hochman and Ariel Rapaport.
2.) Frozen percolation on the binary tree is nonendogenous
Annals of Probability 2021, Vol. 49 (5) 2272 - 2316
3.) Typical absolute continuity for classes of dynamically defined measures, Bárny Balázs,Simon Károly, Boris Solomyak, Adam Spiwak, Advances in Mathematics 2022.
4.) Equidistribution for standard pairs in planar dispersing billiard flows; Bálint Péter, Nándori Péter Szász Domokos, Tóth Imre Péter, Annales Henri Poincaré, 19, 979-1042 (2018).
5.) Nagy, M., & Molontay, R. (2021) Comprehensive Analysis of the Predictive Validity of University
Entrance Score in Hungary. Assessment & Evaluation in Higher Education, 1-19.
Patents
--Awards
Balázs BárnyErdős Prize 2020 Roland Molontay Farkas Gyula Prize 2021 Károly Simon Academy Prize 2016Journals
Transactions of the American mathematical Society, Invetiones Math., Advances in mathematics, Assessment & Evaluation in Higher Education,Annals of Probability.Infrastructure
--Projects
Hyperbolic dynamical systems with Singularities OTKA K123782 2017-2022 NKFI (PI Simon Károly)Dimension Theory of Iterated function systems OTKA 2020-2024 NKFI (PIBárány Balázs)
Random spatial process and interacting systems OTKA NKFI FK 123962 2017-2022 (PI Ráth Balázs)
Industry relations
Cooperation with Nokia on applied mathemtics and statistical problems.Conferences
-- International Conference on Dynamical Systems and Numerical Methods (online , New Delhi) 2022. május 20-21, Károly Simon, plenary speaker.--UK Easter Probability Meeting, University of Sheffield, UK Balázs Ráth invited speaker
--Fractal geometry and Stochastics 6, (Bad Herrenabl) 2018- szept. 30-okt. 5, Balázs Brány invited speaker.
--Workshop on affine and overlapping IFSs, Bristol 2022 május 11-12, invited speaker Balázs Bárány
--Annual Conference on Information Technology Education, virtual Event, 2022 Október 7-9
Baranyi, M., Nagy, M., & Molontay, R. (2020) speaker