Electronic Resource
Springer
Journal of statistical physics
94 (1999), S. 91-111
ISSN:
1572-9613
Keywords:
Markov chain
;
nearest neighbour type
;
Cayley graph
;
Green function
;
isotropy
;
asymptotical isotropy
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study the equidistribution on spheres of the n-step transition probabilities of random walks on graphs. We give sufficient conditions for this property being satisfied and for the weaker property of asymptotical equidistribution. We analyze the asymptotical behaviour of the Green function of the simple random walk on ℤ2 and we provide a class of random walks on Cayley graphs of groups, whose transition probabilities are not even asymptotically equidistributed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004559228814
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