scholarly journals Edgeworth Expansions for Centered Random Walks on Covering Graphs of Polynomial Volume Growth

2021 ◽  
Author(s):  
Ryuya Namba
Keyword(s):  
Random Walks ◽  
Volume Growth ◽  
Edgeworth Expansions

scholarly journals Laws of the iterated logarithm on covering graphs with groups of polynomial volume growth

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ryuya Namba
Keyword(s):  
Random Walks ◽  
Quadratic Forms ◽  
Volume Growth ◽  
Moderate Deviation ◽  
Point Of View ◽  
Iterated Logarithm ◽  
Large Numbers ◽  
Geometric Point ◽  
Rate Functions ◽  
The Given

AbstractModerate deviation principles (MDPs) for random walks on covering graphs with groups of polynomial volume growth are discussed in a geometric point of view. They deal with any intermediate spatial scalings between those of laws of large numbers and those of central limit theorems. The corresponding rate functions are given by quadratic forms determined by the Albanese metric associated with the given random walks. We apply MDPs to establish laws of the iterated logarithm on the covering graphs by characterizing the set of all limit points of the normalized random walks.

Random Walks on Graphs with Regular Volume Growth

1998 ◽  
Vol 8 (4) ◽  
pp. 656-701 ◽  
Author(s):  
T. Coulhon ◽  
A. Grigoryan
Keyword(s):  
Random Walks ◽  
Volume Growth ◽  
Random Walks On Graphs

scholarly journals Random walks on discrete groups of polynomial volume growth

2002 ◽  
Vol 30 (2) ◽  
pp. 723-801 ◽  
Author(s):  
Georgios K. Alexopoulos
Keyword(s):  
Random Walks ◽  
Volume Growth ◽  
Discrete Groups

Non-homogeneous Random Walks

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

Random walks with sign reversals and the intrinsic angular momentum behaviour on lattices

1981 ◽  
Vol 42 (3) ◽  
pp. 427-435
Author(s):  
C. Tresser ◽  
C. Brot ◽  
J. Coste
Keyword(s):  
Angular Momentum ◽  
Random Walks ◽  
Intrinsic Angular Momentum
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