Zobrazeno 1 - 10
of 73
pro vyhledávání: '"37A35, 37B40"'
Autor:
Carrand, Jérôme
The Sinai billiard map $T$ on the two-torus, i.e., the periodic Lorentz gaz, is a discontinuous map. Assuming finite horizon and bounded complexity, we prove that the Kolmogorov--Sinai entropy map associated with the billiard map $T$ is upper semi-co
Externí odkaz:
http://arxiv.org/abs/2403.13626
Autor:
Alibabaei, Nima
Feng--Huang (2016) introduced weighted topological entropy and pressure for factor maps between dynamical systems and established its variational principle. Tsukamoto (2022) redefined those invariants quite differently for the simplest case and showe
Externí odkaz:
http://arxiv.org/abs/2307.16772
Autor:
Correa, Javier, de Paula, Hellen
We show a flexibility result in the context of generalized entropy. The space of dynamical systems we work with is, homeomorphisms on the sphere whose non-wandering set consist in only one fixed point.
Externí odkaz:
http://arxiv.org/abs/2303.14780
We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded
Externí odkaz:
http://arxiv.org/abs/2302.07307
Autor:
Backes, Lucas, Rodrigues, Fagner B.
We prove a variational principle for the upper and lower metric mean dimension of level sets \[ \left\{x\in X: \lim_{n\to\infty}\frac{1}{n}\sum_{j=0}^{n-1}\varphi(f^{j}(x))=\alpha\right\} \] associated to continuous potentials $\varphi:X\to \mathbb R
Externí odkaz:
http://arxiv.org/abs/2207.03238
Autor:
Zhong, Xingfu, Chen, Zhijing
In this paper, we investigate the relations between various types of topological pressures and different versions of measure-theoretical pressures. We extend Feng- Huang's variational principle for packing entropy to packing pressure and obtain two n
Externí odkaz:
http://arxiv.org/abs/2205.00169
Publikováno v:
Discrete and Continuous Dynamical Systems B 20 (2015) 3301-3344
This is a review on entropy in various fields of mathematics and science. Its scope is to convey a unified vision of the classical as well as some newer entropy notions to a broad audience with an intermediate background in dynamical systems and ergo
Externí odkaz:
http://arxiv.org/abs/2202.03108
We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological entropy introduced by Hofmann and Stoyanov. We analyze its basic properties and its relation with the classical metric entr
Externí odkaz:
http://arxiv.org/abs/2103.07148
Autor:
He, Yan Mary, Wolf, Christian
In this note we study the entropy spectrum of rotation classes for collections of finitely many continuous potentials $\varphi_1,\dots,\varphi_m:X\to \mathbb{R}$ with respect to the set of invariant measures of an underlying dynamical system $f:X\to
Externí odkaz:
http://arxiv.org/abs/2011.03899
Autor:
Gutman, Yonatan, Śpiewak, Adam
Publikováno v:
Studia Mathematica 261 (2021), 345-360
We study variational principles for metric mean dimension. First we prove that in the variational principle of Lindenstrauss and Tsukamoto it suffices to take supremum over ergodic measures. Second we derive a variational principle for metric mean di
Externí odkaz:
http://arxiv.org/abs/2010.14772