ProV Logo
0

Crossings states and sets of states in P...
Abramov, Vyacheslav ...
Crossings states and sets of states in P\'olya random walks by Abramov, Vyacheslav M. ( Author )
N.A
14-12-2015
We consider the Pólya random walk in Z2. The paper establishes a number of results for the distributions and expectations of the number of usual (undirected) and specifically defined in the paper up- and down-directed state-crossings and different sets of states crossings. One of the most important results of this paper is that the expected number of undirected state-crossings n is equal to 1 for any state n∈Z2∖{0}. As well, the results of the paper are extended to d-dimensional random walks, d≥2, in bounded areas.
-
Article
pdf
36.88 KB
English
-
MYR 0.01
-
https://arxiv.org/abs/1512.04218
Share this eBook