Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Rodrigues, Fagner B."'
We establish three variational principles for the upper metric mean dimension with potential of level sets of continuous maps in terms of the entropy of partitions and Katok's entropy of the underlying system. Our results hold for dynamical systems e
Externí odkaz:
http://arxiv.org/abs/2407.16548
We prove that the homeomorphisms of a compact manifold with dimension one have zero topological emergence, whereas in dimension greater than one the topological emergence of a C^0-generic conservative homeomorphism is maximal, equal to the dimension
Externí odkaz:
http://arxiv.org/abs/2208.00962
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
The aim of this manuscript is to study some local properties of the topological entropy of a free semigroup action. In order to do that we focus on the set of entropy points of a free semigroup action, show that this set carries the full entropy of t
Externí odkaz:
http://arxiv.org/abs/2107.14260
In this manuscript we show that the metric mean dimension of a free semigroup action satisfies three variational principles: (a) the first one is based on a definition of Shapira's entropy, introduced in \cite{SH} for a singles dynamics and extended
Externí odkaz:
http://arxiv.org/abs/2107.01968
Autor:
Backes, Lucas, Rodrigues, Fagner B.
We introduce four, a priori different, notions of topological pressure for possibly discontinuous semiflows acting on compact metric spaces and observe that they all agree with the classical one when restricted to the continuous setting. Moreover, fo
Externí odkaz:
http://arxiv.org/abs/2003.08455
Publikováno v:
Ergod. Th. Dynam. Sys. 42 (2022) 40-64
We prove that the upper metric mean dimension of $C^0$-generic homeomorphisms, acting on a compact smooth boundaryless manifold with dimension greater than one, coincides with the dimension of the manifold. In the case of continuous interval maps we
Externí odkaz:
http://arxiv.org/abs/1910.07376
Autor:
Freitas, Ana Cristina Moreira, Freitas, Jorge Milhazes, Rodrigues, Fagner B., Soares, Jorge Valentim
We study the existence of limiting laws of rare events corresponding to the entrance of the orbits on certain target sets in the phase space. The limiting laws are obtained when the target sets shrink to a Cantor set of zero Lebesgue measure. We cons
Externí odkaz:
http://arxiv.org/abs/1903.07200
We consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincar\'e recurrence, average first return time and hitting frequency for the random orbits induced by the semigroup action. Besid
Externí odkaz:
http://arxiv.org/abs/1612.07082
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