Large-time asymptotics of the gyration radius for long-range statistical-mechanical models
arXiv:0912.5117
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.
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