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

Balázs Bárány

PhD

H-1111 Budapest, Műegyetem rkp 3, Hungary

+36-1-463-1673

balubs@math.bme.hu

Groups

Fractal Geometry and Applications Research Group

Faculty

Institute of Mathematics

Department

Department of Stochastics

Horizon Europe keywords: · Preservation and restoration of biodiversity and ecosystems

https://math.bme.hu/~balubs/

Publications Awards Projects Conferences

Publications

-B. Lamb, Balázs; M. Hochman; A. Rapaport, Hausdorff dimension of planar self-affine sets and measures, 2019, 
INVENTIONES MATHEMATICAE 216:3 p. 601-659, https://doi.org/10.1007/s00222-018-00849-y

- K. Baranski; B. Lamb; J. Romanowska, On the dimension of the graph of the classical Weierstrass function, 2014,
ADVANCES IN MATHEMATICS 265 p. 32-59, https://linkinghub.elsevier.com/retrieve/pii/S0001870814002734

-B. Lamb; A. Käenmäki, Ledrappier–Young formula and exact dimensionality of self-affine measures, 2017,
ADVANCES IN MATHEMATICS 318 p. 88-129, https://www.sciencedirect.com/science/article/pii/S0001870817301962?via%3Dihub

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

-B. Lamb; M. Pollicott; K. Simon, Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures, 2012, JOURNAL OF STATISTICAL PHYSICS 148:3 p. 393-421., https://doi.org/10.1007/s10955-012-0541-7

Awards

Bolyai plaque of Hungarian Academy of Sciences, 2021

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

Projects

-Fractal Geometry and Applications, 2022-27, Principal Investigator, Research Excellence Programs, National Research, Development, and Innovation Office

-Dimension Theory of iterated function systems, 2020-24, Principal Investigator, Young Researcher Excellence Programs, National Research, Development, and Innovation Office

-Dimension theory of non-conformal systems, 2017-20, Principal Investigator, Postdoctoral Excellence Programme, National Research, Development, and Innovation Office

-Dimension theory of self-affine and non-conformal sets, 2016-20, Principal Investigator, Janos Bolyai Scholarship, Hungarian Academy of Sciences

Conferences

-Geometry of Deterministic and Random Fractals, Budapest, Hungary, 27th June-1st July 2022, organizer

-On geometric complexity of Julia sets - IV, Będlewo, Poland, 14th-19th August 2022, invited speaker

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

-Topological and Probabilistic Methods in Low-dimensional Dynamics, Shanghai, China, 21st-25th October 2019, invited speaker

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

-Fractal Geometry and Stochastics 6, Bad Herrenalb, Germany, 30th September- 5th October 2018, invited speaker

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

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

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

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