Expansivity for measures on uniform spaces

DOI10.1090/tran/6555zbMath1339.54027OpenAlexW2213621088MaRDI QIDQ2790699

Victor F. Sirvent, Carlos A. Morales

Publication date: 8 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/6555

zbMATH Keywords

Lyapunov stabilityuniform spaceexpansive and Borel measure

Mathematics Subject Classification ID

Related Items (14)

What is topological about topological dynamics? ⋮ Dynamical property of hyperspace on uniform space ⋮ Chaos and weak mixing on uniform spaces ⋮ Expansive measures for flows ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ Stability Theorems for Group Actions on Uniform Spaces ⋮ Topological average shadowing property on uniform spaces ⋮ Unnamed Item ⋮ Symbolic topological dynamics in the circle ⋮ Expansive flows on uniform spaces ⋮ A note on the expansive measures of nonautonomous dynamical systems ⋮ Orbital shadowing, \(\omega\)-limit sets and minimality ⋮ Unnamed Item ⋮ Topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces

Cites Work

• Sensitivity and Devaney's chaos in uniform spaces
• A generalization of expansivity
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• Sources, sinks and saddles for expansive homeomorphism with canonical coordinates
• Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
• The existence of expansive homeomorphisms on manifolds
• On pairwise sensitivity
• Partition's sensitivity for measurable maps
• Continuous Functions on Compact Spaces Without Perfect Subsets
• New Method for Expansion and Contraction Maps in Uniform Spaces
• A Proof of Lusin's Theorem
• Topological Entropy and Uniform Spaces
• Some properties of positive entropy maps
• On the existence of non‐atomic measures
• Aperiodic Transformations and Generators
• Expansive transformation semigroups of endomorphisms
• Unstable Homeomorphisms
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