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Simple Random Walk,Let .., ..,... be independent, identically distributed random variables defined on a probability space (., .) taking values in the integer lattice .. with ..曲解 发表于 2025-3-22 02:24:17
Harmonic Measure,The hitting probability of a set .. is the function .. : .. × . → defined by ., where ..cunning 发表于 2025-3-22 07:25:40
Self-Avoiding Walks,The study of self-avoiding walks arose in chemical physics as a model for long polymer chains. Roughly speaking, a polymer is composed of a large number of monomers which can form together randomly except that the monomers cannot overlap. This restriction is modelled by a self-repulsion term.广口瓶 发表于 2025-3-22 08:43:51
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978-0-8176-3892-4Birkh�user Boston 1991Mingle 发表于 2025-3-23 06:32:08
Book Aug 20141st editionrandom walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for ve