Károly Simon

Alfréd Rényi Institute of Mathematics — Hungary

Mathematics · Physical Sciences

19h-index1.1kcitations106works0.12yr avg
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Research Topics

Mathematical Dynamics and Fractals(87), Theoretical and Computational Physics(24), Stochastic processes and statistical mechanics(19), Advanced Topology and Set Theory(13), Caveolin-1 and cellular processes(13)

Publications106 total

Mandelbrot percolation and some of its generalizations: a survey
Research in the Mathematical Sciences·2025Open Access
DESIGNING A SMART PLANT HEALTH DIAGNOSIS MODEL USING ADAPTIVE MACHINE LEARNING TECHNIQUES
International Journal of Advanced Research in Computer Science·2025Open Access
Universal projection theorems with applications to multifractal analysis and the dimension of every ergodic measure on self-conformal sets simultaneously
arXiv (Cornell University)·2024Open Access
An Action Plan for Maritime Energy and Emissions Innovation
2024Open Access
An Action Plan for Rail Energy and Emissions Innovation
2024Open Access
Interior points and Lebesgue measure of overlapping Mandelbrot percolation sets
arXiv (Cornell University)·2024Open Access
The interior of randomly perturbed self-similar sets on the line
Advances in Mathematics·2024· 1 citedOpen Access
Typical dimension and absolute continuity for classes of dynamically defined measures, Part II : exposition and extensions
arXiv (Cornell University)·2024Open Access
Multitype branching processes in random environments with not strictly positive expectation matrices
arXiv (Cornell University)·2024Open Access
Fractal dimensions of continuous piecewise linear iterated function systems
Proceedings of the American Mathematical Society·2023· 1 cited
The interior of randomly perturbed self-similar sets on the line
arXiv (Cornell University)·2023Open Access
Fractal dimensions of continuous piecewise linear iterated function systems
arXiv (Cornell University)·2023Open Access
Self-similar and Self-affine Sets and Measures
Mathematical surveys and monographs·2023· 22 cited
Projections of the random Menger sponge
Asian Journal of Mathematics·2023· 3 cited
Special families of piecewise linear iterated function systems
arXiv (Cornell University)·2022Open Access
Dimension and measure of sums of planar sets and curves
Mathematika·2022· 8 citedOpen Access
Quantization dimension for self-similar measures of overlapping construction
arXiv (Cornell University)·2022Open Access
Dimension estimates for iterated function systems and repellers. Part I
Ergodic Theory and Dynamical Systems·2022· 4 citedOpen Access
Projections of the random Menger sponge
arXiv (Cornell University)·2022Open Access
Typical absolute continuity for classes of dynamically defined measures
Advances in Mathematics·2022· 4 citedOpen Access
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Frequent Co-authors

Boris Solomyak(13), Balázs Bárány(6), Mark Pollicott(5), Yuval Peres(4), Michał Rams(3), Lajos Vágó(3), Thomas Jordan(2), Mariusz Urbański(2), Anthony Manning(2), Michał Rams(2), De‐Jun Feng(2), Hajnal R. Tóth(2), R. Daniel Mauldin(1), Júlia Komjáthy(1), Michel Dekking(1), A Manning(1), Andrew Ferguson(1), MichałRams(1), Franz Hofbauer(1), Peter Raith(1)