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2011 | OriginalPaper | Chapter

Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces

Authors : Yves Guivarc’h, C. R. E. Raja

Published in: Random Walks, Boundaries and Spectra

Publisher: Springer Basel

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Let

G

be a locally compact group,

E

a homogeneous space of

G

. We discuss the relations between recurrence of a random walk on

G

or

E

, ergodicity of the corresponding transformations and polynomial growth of

G

or

E

. We consider the special case of linear groups over local fields.

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previous chapter On Continuity of Range, Entropy and Drift for Random Walks on Groups
next chapter Ergodic Theorems for Homogeneous Dilations
Metadata
Title
Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces
Authors
Yves Guivarc’h
C. R. E. Raja
Copyright Year
2011
Publisher
Springer Basel
Book
Random Walks, Boundaries and Spectra

Print ISBN: 978-3-0346-0243-3

Electronic ISBN: 978-3-0346-0244-0

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-3-0346-0244-0_4