Duality results for iterated function systems with a general family of branches

DOI10.1142/S0219493717500216zbMath1362.37016arXiv1404.7801OpenAlexW2963255644MaRDI QIDQ2977585

Jairo K. Mengue, Elismar R. Oliveira

Publication date: 18 April 2017

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

Full work available at URL: https://arxiv.org/abs/1404.7801

zbMATH Keywords

entropypressuredualityiterated function systems

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (3)

On information gain, Kullback-Leibler divergence, entropy production and the involution kernel ⋮ Entropy, pressure and duality for Gibbs plans in ergodic transport ⋮ Continuous groupoids on the symbolic space, quasi-invariant probabilities for Haar systems and the Haar-Ruelle operator

Cites Work

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• Mather problem and viscosity solutions in the stationary setting
• An introduction to the Aubry-Mather theory
• Entropy, pressure and duality for Gibbs plans in ergodic transport
• Entropy and variational principles for holonomic probabilities of IFS
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Hausdorff measures versus equilibrium states of conformal infinite iterated function systems
• Duality theorems in ergodic transport
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• La condition de Walters
• ON THE GENERAL ONE-DIMENSIONAL XY MODEL: POSITIVE AND ZERO TEMPERATURE, SELECTION AND NON-SELECTION
• Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature
• On the Aubry–Mather theory for symbolic dynamics
• Young measure, superposition and transport

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