Markov Random Fields on an Infinite Tree

Аннотация

Phase transition is studied on the infinite tree $T_N$ in which every point has exactly $N + 1$ neighbors. For every assignment of conditional probabilities which are invariant under graph isomorphism there is a Markov chain with these conditional probabilities and the main results ascertain for which ones of these chains there are other Markov random fields with the same conditional probabilities.

Идентификаторы

DOI

10.1214/aop/1176996347

Цитирования и источники