Measures and entropy on non compact dynamics

DOI10.1080/14689367.2019.1628178zbMath1439.37007OpenAlexW2952703098MaRDI QIDQ4959940

Massoud Amini

Publication date: 7 April 2020

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2019.1628178

zbMATH Keywords

infinite invariant measureAbramov-Rohlin addition formulaJuzvinskiĭ reduction methodParry entropyParry-Pinsker factor

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) General groups of measure-preserving transformations and dynamical systems (37A15) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items

Unnamed Item ⋮ Measures and entropy on non compact dynamics

Cites Work

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• Conditional entropy theory in infinite measure and a question of Krengel
• Topological groups and related structures
• Ergodic theory. Introductory lectures
• Various shadowing properties for positively expansive maps
• A Course in Abstract Harmonic Analysis
• Poisson suspensions and entropy for infinite transformations
• Sequence Entropy Relative to an Invariant σ-Algebra
• An amenable equivalence relation is generated by a single transformation
• Some Transformations Having a Unique Measure with Maximal Entropy
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Generators and Bernoullian factors for amenable actions and cocycles on their orbits
• Measures and entropy on non compact dynamics
• Intrinsic Markov Chains
• Ergodic and Spectral Analysis of Certain Infinite Measure Preserving Transformations
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
• Convolution of invariant measures, maximal entropy
• Entropy of conservative transformations
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Similarity of automorphisms of the torus
• Intrinsically ergodic systems
• Metric Properties of Transformations of G-Spaces
• The Addition Theorem for the Entropy of Transformations of G-Spaces
• Comparing Topological Entropy with Measure-Theoretic Entropy
• Groups with Representations of Bounded Degree
• Ergodic sets
• Sturmian Minimal Sets
• Lie groups beyond an introduction
• Invariant measures
• Entropy theory from the orbital point of view