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arXiv · 1805.11349

Aproximação do Equilíbrio e Tempos Exponenciais para o Passeio Aleatório no Hipercubo

Cláudia Peixoto
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Abstract

We study a random walk in a N dimensional hypercube and exhibit results about stopping times when N diverges. The first theorem discusses the time in which two coupling processes spend to meet. A corollary provides a majorant for the velocity of convergence to equilibrium. Other three theorems treat, respectively, the time of first return to a point, the time of first return to a fixed set and the time of first arrival in a random set. We prove that these times, under a suitable rescaling, converge in law to a mean one exponential random time.

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Cláudia Peixoto. 2018-05-29. Aproximação do Equilíbrio e Tempos Exponenciais para o Passeio Aleatório no Hipercubo. https://arxiv.org/abs/1805.11349

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