I am looking for partners in the research area.

I am looking for partners interested in the Horizon Europe Call.

I am looking for partners for the Horizon Europe research area.

I am looking for laboratory facilities in the research/application area.

Associate Professor

Dr. Balázs Bárány

PhD

H-1111 Budapest, Műegyetem rkp 3.

+3614631111/1673

barany.balazs@ttk.bme.hu

Groups

ELKH-BME Stochastics Research Group

Faculty

Institute of Mathematics

Department

Department of Stochastics

Research keywords: · dynamical systems · fractal geometry · geometric measure theory · iterated function systems
Horizon Europe keywords: · Next generation computing and data technologies

www.math.bme.hu/~balubs

https://scholar.google.com/citations?user=TL59SDoAAAAJ

https://www.researchgate.net/profile/Balazs-Barany

Publications Awards Projects Conferences

Publications

Bárány, Balázs ; Hochman, Michael ; Rapaport, Ariel: Hausdorff dimension of planar self-affine sets and measures
INVENTIONES MATHEMATICAE 216 : 3 pp. 601-659. , 59 p. (2019), https://link.springer.com/article/10.1007/s00222-018-00849-y

Bárány, Balázs: On the Ledrappier–Young formula for self-affine measures
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 159 : 3 pp. 405-432. , 28 p. (2015), https://doi.org/10.1017/S0305004115000419

Barański, Krzysztof; Bárány, Balázs ; Romanowska, Julia: On the dimension of the graph of the classical Weierstrass function
ADVANCES IN MATHEMATICS 265 pp. 32-59. , 28 p. (2014), https://www.sciencedirect.com/science/article/pii/S0001870814002734?via%3Dihub

Bárány, Balázs ; Käenmäki, Antti: Ledrappier–Young formula and exact dimensionality of self-affine measures
ADVANCES IN MATHEMATICS 318 pp. 88-129. , 42 p. (2017), https://www.sciencedirect.com/science/article/pii/S0001870817301962?via%3Dihub

Bárány, Balázs ; Pollicott, Mark ; Simon, Károly: Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures
JOURNAL OF STATISTICAL PHYSICS 148 : 3 pp. 393-421. , 29 p. (2012), https://link.springer.com/article/10.1007/s10955-012-0541-7

Awards

Bolyai plaque, Hungarian Academy of Sciences, 2021

Paul Erdős Prize of the Hungarian Academy of Sciences, Section of Mathematics, 2020

Projects

Dimension Theory of iterated function systems, 2020-24, principal investigator, Young researcher excellence programme NKFIH FK134251.

Dimension theory of self-affine and non-conformal sets, 2016-2020, principal investigator, János Bolyai Research Scholarship, Hungarian Academy of Sciences.

Dimension theory of non-conformal systems, 2017-2020, principal investigator, Scholarship of the postdoctoral excellence program, NKFIH PD123970.

Conferences

Workshop on affine and overlapping iterated function systems, 10-12 May 2022, Bristol, UK, invited speaker

Topological and Probabilistic Methods in Low-dimensional Dynamics, 21-25 Oct. 2019, Shanghai, China, invited speaker

Dynamics, measures and dimensions, 7-12 April 2019, Będlewo, Poland, invited speaker

Fractal Geometry and Stochastics 6, Sept. 30-Oct. 5 2018, Bad Herrenalb, Germany, invited speaker

Workshop in Ergodic Theory & Symbolic Dynamics, 13-15 Sept. 2017, London, UK, invited speaker

Ergodic, Algebraic and Combinatorial Methods in Dimension Theory, February 15-19 2016, Providence, USA, invited speaker

Fractal geometry and Dynamics, October 12-16 2015, Będlewo, Poland, invited speaker

Workshop on Fractals, June 8-12 2014, Jerusalem, Israel, invited speaker