István Kolossváry

István Kolossváry

Research Fellow

Alfréd Rényi Institute of Mathematics

About me

I am a research fellow in pure mathematics at the Alfréd Rényi Institute of Mathematics in Budapest, Hungary. I currently hold a Marie Sklodowska-Curie Actions Postdoctoral Fellowship titled New perspectives on the box counting dimension of sets and measures. My main area of interest lies in the broad area of dynamical systems and more specifically the dimension theory of fractal sets and measures arising from various contexts. I have also worked on first passage percolation problems on random graphs.

Interests
  • Fractal Geometry
  • Geometric Measure Theory
  • Random Graphs
Education

  • Doctoral School of Mathematics and Computer Science, 2019

    Budapest University of Technology and Economics

  • MSc in Applied Mathematics, 2012

    Budapest University of Technology and Economics

  • BSc in Mathematics, 2009

    Budapest University of Technology and Economics

Affiliations

 
 
 
 
 
HUN-REN Alfréd Rényi Institute of Mathematics
Research Fellow
HUN-REN Alfréd Rényi Institute of Mathematics
January 2024 – Present Budapest, Hungary
Principal Investigator of the project NewBoxDim funded by the HORIZON-MSCA-2022-PF-01-01 Grant agreement ID: 101109013.
 
 
 
 
 
University of St Andrews
Research Fellow
University of St Andrews
September 2019 – December 2023 St Andrews, Scotland
Member of the Analysis Group, funded by a Leverhulme Trust Research Project Grant (RPG-2019-034).

Recent Publications

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István Kolossváry (2024). Limiting joint distribution of greatest common divisors in random hypercubes. preprint.

PDF Project

Amlan Banaji, István Kolossváry (2024). Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence. Adv. Math. 449, 109735.

Cite DOI arXiv zbMATH

Amlan Banaji, Jonathan M. Fraser, István Kolossváry, Alex Rutar (2024). Assouad spectrum of Gatzouras-Lalley carpets. preprint.

Project arXiv zbMATH

Jonathan M. Fraser, István Kolossváry (2023). The Assouad dimension of self-affine measures on sponges. Ergodic Theory Dynam. Systems 43(9), 2974-2996.

Cite DOI arXiv zbMATH

István Kolossváry (2023). The $L^q$ spectrum of self-affine measures on sponges. J. London Math. Soc. 108(2), 666-701.

Cite DOI arXiv zbMATH

See all publications

Contact

  • istvanko'at'renyi'dot'hu
  • +36 1 4838315
  • Reáltanoda street 13-15, Budapest, 1053
  • Office 7 on Floor III