Gibbs processes and applications
| Autor: | Berghout, S. |
|---|---|
| Přispěvatelé: | Verbitskiy E.A., Hollander W.T.F. den, Grunwald, P.D., Luijk, R.M. van, Enter, A.C.D. van, Külkse, C., Le Ny, A., Leiden University |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | None |
| Popis: | Gibbs measures, as used in Statistical Mechanics, have a definition that is remarkably similar to the definition ofg-measures, used in dynamical systems. For both types of measures the continuity of conditional probabilities play a central role.In this thesis we give necessary and sufficient conditions for when a g-measure is a Gibbs measure. We relate this result to well known uniqueness conditions and briefly consider the related question: when is a g-measure reversible.Subsequently we consider an application in information theory by considering whether one-sided models can be used for two-sided modeling.Finally, we apply a technique called measure disintegration to give very general conditions for when the conditional probabilities of factors of Markov processesare g-measures and factors of Gibbs measure are Gibbs measures. |
| Databáze: | OpenAIRE |
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