Harmonic analysis for anisotropic random walks on homogeneous trees

1994 ◽  
Vol 110 (531) ◽  
pp. 0-0 ◽  
Author(s):  
Alessandro Figà-Talamanca ◽  
Tim Steger
Keyword(s):  
Random Walks ◽  
Harmonic Analysis ◽  
Homogeneous Trees

Anisotropic branching random walks on homogeneous trees

2000 ◽  
Vol 116 (1) ◽  
pp. 57-88 ◽  
Author(s):  
Irene Hueter ◽  
Steven P. Lalley
Keyword(s):  
Random Walks ◽  
Branching Random Walks ◽  
Homogeneous Trees

scholarly journals Large Deviations for Radial Random Walks on Homogeneous Trees

2007 ◽  
Vol 187 ◽  
pp. 75-90
Author(s):  
Kanji Ichihara
Keyword(s):  
Markov Chain ◽  
Random Walk ◽  
Large Deviations ◽  
Random Walks ◽  
Large Deviation ◽  
Rate Function ◽  
Homogeneous Tree ◽  
Homogeneous Trees ◽  
Radial Random Walks

AbstractDonsker-Varadhan’s type large deviation will be discussed for the pinned motion of a radial random walk on a homogeneous tree. We shall prove that the rate function corresponding to the large deviation is associated with a new Markov chain constructed from the above random walk through a harmonic transform based on a positive principal eigenfunction for the generator of the random walk.

scholarly journals Harmonic Analysis of Finite Lamplighter Random Walks

2008 ◽  
Vol 14 (2) ◽  
pp. 251-282 ◽  
Author(s):  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Random Walks ◽  
Harmonic Analysis

scholarly journals Random walks on the affine group of local fields and of homogeneous trees

1994 ◽  
Vol 44 (4) ◽  
pp. 1243-1288 ◽  
Author(s):  
Donald I. Cartwright ◽  
Vadim A. Kaimanovich ◽  
Wolfgang Woess
Keyword(s):  
Random Walks ◽  
Affine Group ◽  
Local Fields ◽  
Homogeneous Trees

Non-homogeneous Random Walks

2016 ◽  
Author(s):  
Mikhail Menshikov ◽  
Serguei Popov ◽  
Andrew Wade
Keyword(s):  
Random Walks
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