A LOCAL VARIATIONAL PRINCIPLE FOR RANDOM BUNDLE TRANSFORMATIONS

DOI10.1142/S0219493712500232zbMath1351.37212arXiv1102.3846OpenAlexW1989075956MaRDI QIDQ2841322

Ercai Chen, Xian-Feng Ma

Publication date: 24 July 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3846

zbMATH Keywords

entropylocal variational principlerandom bundle transformation

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) General theory of random and stochastic dynamical systems (37H05)

Related Items (3)

On the induced measure-theoretic entropy for random dynamical systems ⋮ Dynamical intricacy and average sample complexity for random bundle transformations ⋮ Local unstable entropy and local unstable pressure for random partially hyperbolic dynamical systems

Cites Work

• Relative entropy tuples, relative u.p.e. and c.p.e. extensions
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• A Relativised Variational Principle for Continuous Transformations
• A disjointness theorem involving topological entropy
• A local variational principle for the topological entropy
• Relating Topological Entropy and Measure Entropy
• A note on the entropy of factors of random dynamical systems

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