Markov and almost Markov properties in one, two or more directions - Université Paris-Est-Créteil-Val-de-Marne
Article Dans Une Revue Markov Processes And Related Fields Année : 2021

Markov and almost Markov properties in one, two or more directions

Résumé

In this review-type paper written at the occasion of the Oberwolfach workshop {\em One-sided vs. Two-sided stochastic processes} (february 22-29, 2020), we discuss and compare Markov properties and generalisations thereof in more directions, as well as weaker forms of conditional dependence, again either in one or more directions. In particular, we discuss in both contexts various extensions of Markov chains and Markov fields and their properties, such as $g$-measures, Variable Length Markov Chains, Variable Neighbourhood Markov Fields, Variable Neighbourhood (Parsimonious) Random Fields, and Generalized Gibbs Measures.
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Dates et versions

hal-04389576 , version 1 (12-07-2024)

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Arnaud Le Ny, Frédéric Paccaut, Aernout van Enter. Markov and almost Markov properties in one, two or more directions. Markov Processes And Related Fields, 2021, 27 (3), pp.315-338. ⟨10.48550/arXiv.2011.14664⟩. ⟨hal-04389576⟩
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