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On entropy and information gain in random fields

https://doi.org/10.1007/bf00532723
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inferredcites →https://doi.org/10.1002/zamm.19730531027openalex-snapshot
H.‐O. Georgii, Phasenübergang 1. Art bei Gittergasmodellen. (Lecture Notes in Physics, Vol. 16). IX + 167 S. Berlin/Heidelberg/New York 1972. Springer‐Verlag. Preis brosch. DM 18,—
inferredcites →https://doi.org/10.1007/3-540-06025-1openalex-snapshot
Phasenübergang 1. Art bei Gittergasmodellen
inferredcites →https://doi.org/10.1007/bf00532539openalex-snapshot
Convergence en moyenne de l'information pour l'action de Z 2
inferredcites →https://doi.org/10.1007/bf01075681openalex-snapshot
Gibbsian random fields for lattice systems with pairwise interactions
inferredcites →https://doi.org/10.1007/bf01645487openalex-snapshot
Observables at infinity and states with short range correlations in statistical mechanics
inferredcites →https://doi.org/10.1137/1113026openalex-snapshot
The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity
inferredcites →https://doi.org/10.1214/aoms/1177692723openalex-snapshot
A Variational Characterization of Finite Markov Chains
inferredcites →https://doi.org/10.21136/cpmf.1950.122339openalex-snapshot
Linear operators. [I.]
inferredcites →https://doi.org/10.2307/2004188openalex-snapshot
Probability and Potentials

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inferred← citeshttps://doi.org/10.1007/978-3-030-29859-3_40openalex-snapshot
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9 Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems
inferred← citeshttps://doi.org/10.1007/978-94-009-3859-5_45openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-009-7013-7_40openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-017-1460-0_9openalex-snapshot
Specific Informational and Thermodynamical Characteristics of Homogeneous Random Fields
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inferred← citeshttps://doi.org/10.1007/bf00533471openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0001867800026537openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0021900200046799openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/isit.2006.261705openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tit.1982.1056464openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tit.1982.1056466openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tit.2002.1003841openalex-snapshot
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inferred← citeshttps://doi.org/10.1111/j.1467-9574.2008.00394.xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1515/9783110844641.321openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1515/form.2004.014openalex-snapshot
Entropy production, information gain and Lyapunov exponents of random hyperbolic dynamical systems
inferred← citeshttps://doi.org/10.2307/j.ctv3f8rnj.7openalex-snapshot
Probabilistic Aspects of Entropy
inferred← citeshttps://doi.org/10.48550/arxiv.1807.04800openalex-snapshot
Feature Selection for Gender Classification in TUIK Life Satisfaction Survey
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0410052openalex-snapshot
On the Variational Principle for Generalized Gibbs Measures
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