Markov and almost Markov properties in one, two or more directions - Université Paris-Est-Créteil-Val-de-Marne Access content directly
Journal Articles Markov Processes And Related Fields Year : 2020

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

Abstract

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.

Dates and versions

hal-04389576 , version 1 (11-01-2024)

Identifiers

Cite

Aernout van Enter, Arnaud Le Ny, Frédéric Paccaut. Markov and almost Markov properties in one, two or more directions. Markov Processes And Related Fields, 2020. ⟨hal-04389576⟩
7 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More