Large-time asymptotics of the gyration radius for long-range statistical-mechanical models

2009/12/28 by Akira Sakai, Sakai, Akira
Mathematics · Physics and Astronomy · #60K35 #82B41 #82B43 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR #msc:60K35 #msc:82B41 #msc:82B43

paper · pdf · doi:10.48550/arxiv.0912.5117

This is a proceeding article for the RIMS workshop "Applications of RG Methods in Mathematical Sciences" at Kyoto University from September 9 through 11th, 2009. Submitted to RIMS Kokyuroku Bessatsu

arxiv created 2009/12/28 · arxiv updated 2010/01/14

Abstract

The aim of this short article is to convey the basic idea of the original paper [3], without going into too much detail, about how to derive sharp asymptotics of the gyration radius for random walk, self-avoiding walk and oriented percolation above the model-dependent upper critical dimension.

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