Shannon-McMillan theorems for discrete random fields along curves and lower bounds for surface-order large deviations

DOI10.1007/s00440-007-0112-zzbMath1160.60008arXiv0709.2662OpenAlexW1984650562MaRDI QIDQ946485

Julia Brettschneider

Publication date: 23 September 2008

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2662

zbMATH Keywords

entropylarge deviationsrandom fieldsShannon-McMillan theorems

Mathematics Subject Classification ID

Random fields (60G60) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Measures of information, entropy (94A17)

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Cites Work

• Shannon-McMillan theorems for discrete random fields along curves and lower bounds for surface-order large deviations
• Ergodic theorems. With a supplement by Antoine Brunel
• An answer to a question by J. Milnor
• Some examples concerning the global Markov property
• Large deviations for the empirical field of a Gibbs measure
• Gibbs measures and phase transitions
• Random fields
• Large deviations for the 2D Ising model: A lower bound without cluster expansions
• Continuity of directional entropy
• Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions
• Entropy of a skew product with a \(Z^ 2\)-action
• On directional entropy functions
• Asymptotic evaluation of certain markov process expectations for large time, II
• Directional Entropies of Cellular Automaton-Maps
• On entropy and information gain in random fields
• Convergence en moyenne de l'information pour l'action de Z 2
• Large deviations for Gibbs random fields
• Observables at infinity and states with short range correlations in statistical mechanics
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