论文标题
马尔可夫（Markov）和马尔可夫（Markov）在一个，两个或多个方向上
Markov and almost Markov properties in one, two or more directions
论文作者
论文摘要
在这篇评论类型的论文中，在Oberwolfach研讨会之际{\ em单面与双面随机过程}（2020年2月22日至29日），我们讨论并比较了Markov的属性和概括，并以更大的指导，以及在一个或更大的指导中再次进行条件依赖形式。特别是，我们在这两种情况下都讨论了马尔可夫连锁店和马尔可夫场及其属性的各种扩展，例如$ g $ m-衡量，可变长度马尔可夫链，可变的邻里马尔可夫田，可变邻域（可变的）随机字段和广义的Gibbs测量值。
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.
