Results 11 to 20 of about 4,856 (110)

Variational Principle for Neutralized Bowen Topological Entropy

Qualitative Theory of Dynamical Systems
Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $$B_n(x,e^{-nε})=\{y\in X: d(T^jx, T^jy)
Yang, Rui, Chen, Ercai, Zhou, Xiaoyao
openaire   +5 more sources

On Bowen's definition of topological entropy

Discrete & Continuous Dynamical Systems - A, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

The Bowen's topological entropy of the Cartesian product sets

, 2013
This article is devoted to showing the product theorem for Bowen's topological entropy.
Zhou, Xiaoyao, Chen, Ercai
openaire   +2 more sources

Weak expansiveness for actions of sofic groups [PDF]

, 2014
In this paper, we shall introduce $h$-expansiveness and asymptotical $h$-expansiveness for actions of sofic groups. By the definitions, each $h$-expansive action of sofic groups is asymptotically $h$-expansive. We show that each expansive action of sofic
Chung, Nhan-Phu, Zhang, Guo Hua
core   +4 more sources

Bowen's equation in the non-uniform setting [PDF]

, 2009
We show that Bowen's equation, which characterises the Hausdorff dimension of certain sets in terms of the topological pressure of an expanding conformal map, applies in greater generality than has been heretofore established.
Mayer, Mayer, Pesin, Urbański, VAUGHN CLIMENHAGA   +4 more
core   +1 more source

A note on dimensional entropy for amenable group actions

, 2017
In this short note, for countably infinite amenable group actions, we provide topological proofs for the following results: Bowen topological entropy (dimensional entropy) of the whole space equals the usual topological entropy along tempered F{\o}lner ...
Dou, Dou, Zhang, Ruifeng
core   +1 more source

The mathematical research of William Parry FRS [PDF]

, 2008
In this article we survey the mathematical research of the late William (Bill) Parry ...
Adler, Adler, Alexander, Coelho, Jones, Livšic, M. POLLICOTT, Morris, P. WALTERS, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, Parry, R. SHARP, Rohlin, Rohlin, S. TUNCEL, Schweiger   +34 more
core   +1 more source

On the topological entropy of the irregular part of v-statistics multifractal spectra [PDF]

, 2013
Let (x, d) be a compact metric space and f : x → x, if xr is the product of r−copies of x, r ≥ 1, and φ : xr → r, then the multifractal decomposition for v −statistics is given by eφ (α) = ( x : lim n→∞ 1 nr p 0≤i1≤...≤ir≤n−1 φ ¡ f i1 (x) , ..., fir (x) ¢
Meson, Alejandro Mario, Vericat, Fernando   +1 more
core   +2 more sources

Intrinsic ergodicity via obstruction entropies

, 2013
Bowen showed that a continuous expansive map with specification has a unique measure of maximal entropy. We show that the conclusion remains true under weaker non-uniform versions of these hypotheses. To this end, we introduce the notions of obstructions
Climenhaga, Vaughn, Thompson, Daniel J.
core   +1 more source

Engineering Lipid Nanoparticles for Precision RNA Delivery: Design Principles, Targeting Strategies, and Clinical Prospects

Cancer Nexus, Volume 2, Issue 2, April 2026.
ABSTRACT Lipid nanoparticles (LNPs) represent the most clinically advanced platform for RNA delivery and have enabled major breakthroughs in vaccines and gene therapies. However, their broader application is still limited by inefficient extrahepatic delivery, immunogenicity, and insufficient control over tissue‐ and cell‐specific targeting. This review
Yu Han, Ying Wang, Xintao Gao, Yan Lei, Yantao Li, Zhiyong Tang   +5 more
wiley   +1 more source