Incollection,

Hierarchical random walks

, , and .
Asymptotic methods in stochastics, volume 44 of Fields Inst. Commun., Amer. Math. Soc., Providence, RI, (2004)

Abstract

This is a survey of recent work on hierarchical random walks with emphasis on transience-recurrence phenomena and in particular on the notion of order of transience. A family of hierarchical random fields is also described. Applications of hierarchical random walks and fields to the behavior near critical dimensions in statistical physics and branching processes are discussed.

Tags

Users

  • @peter.ralph

Comments and Reviews