scholarly journals Invariance principles for random walks in cones

2020 ◽  
Vol 130 (7) ◽  
pp. 3920-3942
Author(s):  
Jetlir Duraj ◽  
Vitali Wachtel
Keyword(s):  
Random Walks ◽  
Invariance Principles

scholarly journals Quenched invariance principles for random walks and elliptic diffusions in random media with boundary

2015 ◽  
Vol 43 (4) ◽  
pp. 1594-1642 ◽  
Author(s):  
Zhen-Qing Chen ◽  
David A. Croydon ◽  
Takashi Kumagai
Keyword(s):  
Random Walks ◽  
Random Media ◽  
Invariance Principles

scholarly journals Quenched invariance principles for random walks on percolation clusters

2007 ◽  
Vol 463 (2085) ◽  
pp. 2287-2307 ◽  
Author(s):  
P Mathieu ◽  
A Piatnitski
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Invariance Principle ◽  
Percolation Cluster ◽  
Percolation Model ◽  
Symmetric Random Walk ◽  
Invariance Principles ◽  
Percolation Clusters

We consider a supercritical Bernoulli percolation model in , d ≥2, and study the simple symmetric random walk on the infinite percolation cluster. The aim of this paper is to prove the almost sure (quenched) invariance principle for this random walk.

Non-homogeneous Random Walks

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