D. Dawson, L. Gorostiza, and A. Wakolbinger. 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.
%0 Book Section
%1 dawson2004hierarchical
%A Dawson, D. A.
%A Gorostiza, L. G.
%A Wakolbinger, A.
%B Asymptotic methods in stochastics
%D 2004
%I Amer. Math. Soc., Providence, RI
%K fractal_landscape hierarchical_random_walks p-adic review
%P 173--193
%T Hierarchical random walks
%V 44
%X 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.
@incollection{dawson2004hierarchical,
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.},
added-at = {2014-07-02T22:35:03.000+0200},
author = {Dawson, D. A. and Gorostiza, L. G. and Wakolbinger, A.},
biburl = {https://www.bibsonomy.org/bibtex/209580939ce028cde159829cb506c76c9/peter.ralph},
booktitle = {Asymptotic methods in stochastics},
interhash = {e4e72a03957d14d03e224c8d9847e095},
intrahash = {09580939ce028cde159829cb506c76c9},
keywords = {fractal_landscape hierarchical_random_walks p-adic review},
mrclass = {60G50 (82B41)},
mrnumber = {2106854 (2006i:60055)},
mrreviewer = {Dimitri Petritis},
pages = {173--193},
publisher = {Amer. Math. Soc., Providence, RI},
series = {Fields Inst. Commun.},
timestamp = {2014-07-02T22:35:03.000+0200},
title = {Hierarchical random walks},
volume = 44,
year = 2004
}