scholarly journals Random walks on linear groups satisfying a Schubert condition

2020 ◽  
Vol 238 (2) ◽  
pp. 593-627
Author(s):  
Weikun He
Keyword(s):  
Random Walks ◽  
Linear Groups

scholarly journals Recurrence and ergodicity of random walks on linear groups and on homogeneous spaces

2011 ◽  
Vol 32 (4) ◽  
pp. 1313-1349 ◽  
Author(s):  
Y. GUIVARC’H ◽  
C. R. E. RAJA
Keyword(s):  
Random Walks ◽  
Closed Subgroup ◽  
Homogeneous Spaces ◽  
Local Fields ◽  
Quadratic Growth ◽  
Linear Groups ◽  
Compact Groups ◽  
Large Classes ◽  
Skew Products ◽  
Recurrent Random Walk

AbstractWe discuss recurrence and ergodicity properties of random walks and associated skew products for large classes of locally compact groups and homogeneous spaces. In particular, we show that a closed subgroup of a product of finitely many linear groups over local fields supports an adapted recurrent random walk if and only if it has at most quadratic growth. We give also a detailed analysis of ergodicity properties for special classes of random walks on homogeneous spaces and for associated homeomorphisms with infinite invariant measure. The structural properties of closed subgroups of linear groups over local fields and the properties of group actions with respect to certain Radon measures associated with random walks play an important role in the proofs.

scholarly journals Words in linear groups, random walks, automata and P-recursiveness

2017 ◽  
Vol 1 (2) ◽  
pp. 127-144 ◽  
Author(s):  
Scott Garrabrant ◽  
Igor Pak
Keyword(s):  
Random Walks ◽  
Linear Groups

Non-homogeneous Random Walks

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

Recurrence of Symmetric Random Walks.

1983 ◽  
Author(s):  
S. W. Dharmadhikari ◽  
Kumar Joag-dev
Keyword(s):  
Random Walks
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