Results 11 to 20 of about 513 (30)
The Bridge Theorem for totally disconnected LCA groups [PDF]
, 2013 For a totally disconnected locally compact abelian group, we prove that the topological entropy of a continuous endomorphism coincides with the algebraic entropy of the dual endomorphism with respect to the Pontryagin duality.
Bruno, Anna Giordano, Dikranjan, Dikran
core +2 more sources
Bowen entropy for actions of amenable groups [PDF]
, 2016 Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimension in 1973 \cite{B}. In this paper we consider the Bowen's entropy for amenable group action dynamical systems and show that under the tempered condition, the ...
Chen, Ercai, Zheng, Dongmei
core +1 more source
On multi-transitivity with respect to a vector [PDF]
, 2014 A topological dynamical system $(X,f)$ is said to be multi-transitive if for every $n\in\mathbb{N}$ the system $(X^{n}, f\times f^{2}\times \dotsb\times f^{n})$ is transitive.
Chen, Zhijing, Li, Jian, Lü, Jie
core +1 more source
Omega-limit sets and invariant chaos in dimension one
, 2015 Omega-limit sets play an important role in one-dimensional dynamics. During last fifty year at least three definitions of basic set has appeared. Authors often use results with different definition. Here we fill in the gap of missing proof of equivalency
Málek, Michal
core +1 more source
Twisted Alexander Polynomials and Representation Shifts
, 2007 For any knot, the following are equivalent. (1) The infinite cyclic cover has uncountably many finite covers; (2) there exists a finite-image representation of the knot group for which the twisted Alexander polynomial vanishes; (3) the knot group admits ...
Silver, Daniel S., Williams, Susan G.
core +1 more source
Convergence of the barycentre of measures from Fuchsian action groups [PDF]
, 2013 We prove the pointwise ergodic convergence of the sequence of barycentres of empirical measures which are defined from the action of Fuchsian groups and by maps valuated in CAT(0)−spaces.
Meson, Alejandro Mario +1 more
core +2 more sources
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 topological entropy of Banach spaces
, 2011 We investigate some properties of (universal) Banach spaces of real functions in the context of topological entropy. Among other things, we show that any subspace of $C([0,1])$ which is isometrically isomorphic to $\ell_1$ contains a functions with ...
Bobok, Jozef, Bruin, Henk
core +1 more source
Entropy of continuous maps on quasi-metric spaces [PDF]
, 2015 The category of metric spaces is a subcategory of quasi-metric spaces. In this paper the notion of entropy for the continuous maps of a quasi-metric space is extended via spanning and separated sets.
Moghayer, Saeed M. +2 more
core
A Garden of Eden theorem for Anosov diffeomorphisms on tori
, 2016 Let $f$ be an Anosov diffeomorphism of the $n$-dimensional torus ${\mathbb{T}}^n$ and $\tau$ a continuous self-mapping of ${\mathbb{T}}^n$ commuting with $f$.
Ceccherini-Silberstein, Tullio +1 more
core +1 more source