agnostic 发表于 2025-3-28 17:45:53
The Simple Random Walk I: Associated Boundary Value Distributions, Transience, and Recurrence,e combinatorics are provided in the computation of its distribution. Two possible characteristic long-time properties, (point) recurrence and transience, are identified in the course of the analysis. Recurrence is a form of “stochastic periodicity” in which the process revisits a state (or arbitrariCORE 发表于 2025-3-28 20:36:09
http://reply.papertrans.cn/83/8211/821096/821096_42.png释放 发表于 2025-3-28 23:57:41
Multidimensional Random Walk,ich at each step the random walk moves with equal probability to one of its 2. neighboring states on the lattice. A celebrated theorem of Pólya provides a role for dimension . in distinguishing between recurrent and transient properties of the random walk. Namely, it is shown by combinatorial method退出可食用 发表于 2025-3-29 03:32:29
http://reply.papertrans.cn/83/8211/821096/821096_44.png经典 发表于 2025-3-29 10:33:40
http://reply.papertrans.cn/83/8211/821096/821096_45.pngGORGE 发表于 2025-3-29 13:55:45
http://reply.papertrans.cn/83/8211/821096/821096_46.pngSinus-Node 发表于 2025-3-29 18:36:17
http://reply.papertrans.cn/83/8211/821096/821096_47.pngArroyo 发表于 2025-3-29 21:27:13
,Bienaymé–Galton–Watson Simple Branching Process and Extinction,vely and independently generated according to a given offspring distribution, starting from a non-negative integer number of initial .. progenitors. The state zero, referred to as extinction, is an absorbing state for the process. In this chapter a celebrated formula for the probability of extinctio全面 发表于 2025-3-30 01:30:12
http://reply.papertrans.cn/83/8211/821096/821096_49.pngHabituate 发表于 2025-3-30 06:56:57
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