Metric Versus Topological Receptive Entropy of Semigroup Actions
نویسندگان
چکیده
We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological introduced Hofmann and Stoyanov. analyze its basic properties relation with classical entropy. In case compact spaces we compare looking Variational Principle. With this aim propose several characterizations Finally introduce local Bowen generalized in setting amenable group Zheng Chen, prove partial versions Brin-Katok Formula
منابع مشابه
Semigroup Actions on Intuitionistic Fuzzy Metric Spaces
The purpose of this paper is to investigate the dynamical systems in the context of topological semigroup actions in intuitionistic fuzzy 2-metric spaces. AMS Subject Classification : 46 S 40.
متن کاملLinearizability of Non-expansive Semigroup Actions on Metric Spaces
We show that a non-expansive action of a topological semigroup S on a metric space X is linearizable iff its orbits are bounded. The crucial point here is to prove that X can be extended by adding a fixed point of S, thus allowing application of a semigroup version of the Arens-Eells linearization, iff the orbits of S in X are bounded.
متن کاملInformation Distances versus Entropy Metric
Information distance has become an important tool in a wide variety of applications. Various types of information distance have been made over the years. These information distance measures are different from entropy metric, as the former is based on Kolmogorov complexity and the latter on Shannon entropy. However, for any computable probability distributions, up to a constant, the expected val...
متن کاملTopological −Entropy in Fuzzy Metric Spaces
In this paper the notion of fuzzy topological r-entropy as an extension of the notion of topological r-entropy is studied. It is proved that fuzzy topological r-entropy is an invariant object under uniformly fuzzy equivalent relation and fuzzy topological equivalent relation.
متن کاملOn the topological centers of module actions
In this paper, we study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Qualitative Theory of Dynamical Systems
سال: 2021
ISSN: ['1575-5460', '1662-3592']
DOI: https://doi.org/10.1007/s12346-021-00485-7