Zobrazeno 1 - 10
of 1 627
pro vyhledávání: '"Szarek, P."'
We study random dynamical systems of certain continuous functions on the unit interval. We use bounded variation to provide sufficient conditions for unique ergodicity of these systems. Several classes of examples are provided.
Externí odkaz:
http://arxiv.org/abs/2410.18664
Autor:
Szarek, Stanislaw, Wolff, Pawel
The celebrated Dvoretzky theorem asserts that every $N$-dimensional convex body admits central sections of dimension $d = \Omega(\log N)$, which is nearly spherical. For many instances of convex bodies, typically unit balls with respect to some norm,
Externí odkaz:
http://arxiv.org/abs/2410.15118
Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called $\mu$-injectivity and some mild assumptions, then proximality, asymptotic stabil
Externí odkaz:
http://arxiv.org/abs/2408.07398
We show several variants of concentration inequalities on the sphere stated as subgaussian estimates with optimal constants. For a Lipschitz function, we give one-sided and two-sided bounds for deviation from the median as well as from the mean. For
Externí odkaz:
http://arxiv.org/abs/2406.13581
We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to the authors. The proof is based on a generalization of the Dijksma-Koo
Externí odkaz:
http://arxiv.org/abs/2402.08800
In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval $[0, 1]$. We provide a handy condition for unique ergodicity for systems that are injective in mean. On the other hand, we give concrete examples wher
Externí odkaz:
http://arxiv.org/abs/2401.12361
Autor:
Dariusz Rydz, Grzegorz Stradomski, Michał Pałęga, Mariusz Salwin, Michał Opydo, Arkadiusz Szarek, Joanna Fik, Tomasz Chmielewski
Publikováno v:
Advances in Sciences and Technology, Vol 18, Iss 5, Pp 234-244 (2024)
The aim of the research was to determine the possibility of producing and using layered composites made of aluminum and magnesium alloys Al1050-AZ31-Al1050. The use of layered composites often results from economic conditions. The work analyzed the c
Externí odkaz:
https://doaj.org/article/6708122adb1e4343807b9cf73c6f1011
Eleven possible candidates for compounds of pentavalent praseodymium were investigated with relativistic density functional theory using the B3LYP functional with ZORA scalar relativistic correction and including spin orbit coupling effects. Two of t
Externí odkaz:
http://arxiv.org/abs/2306.13939
Publikováno v:
Studia Medyczne, Vol 40, Iss 3, Pp 263-272 (2024)
Externí odkaz:
https://doaj.org/article/cb5f39cbd4bd4d6d8b601b305713517d
Publikováno v:
Journal of Modern Science, Vol 56, Iss 2, Pp 263-284 (2024)
Objectives The purpose of the study was to evaluate the impact of physical activity of university staff members on their well-being and work performance. In the course of analyses, the author attempted to find an answer to the question to what extent
Externí odkaz:
https://doaj.org/article/ab55b4b39ebc400ea56f73f330fa3cf6