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

Mathematics – Probability

Scientific paper

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This is a proceeding article for the RIMS workshop "Applications of RG Methods in Mathematical Sciences" at Kyoto University f

Scientific paper

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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