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On uniqueness of invariant measures for random walks on ${\textup {HOMEO}}^+(\mathbb R)

On uniqueness of invariant measures for random walks on ${\textup {HOMEO}}^+(\mathbb R)

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_04214827v1

On uniqueness of invariant measures for random walks on ${\textup {HOMEO}}^+(\mathbb R)

About this item

Full title

On uniqueness of invariant measures for random walks on ${\textup {HOMEO}}^+(\mathbb R)

Publisher

Cambridge, UK: Cambridge University Press

Journal title

Ergodic theory and dynamical systems, 2022-07, Vol.42 (7), p.2207-2238

Language

English

Formats

Publication information

Publisher

Cambridge, UK: Cambridge University Press

More information

Scope and Contents

Contents

We consider random walks on the group of orientation-preserving homeomorphisms of the real line
${\mathbb R}$
. In particular, the fundamental question of uniqueness of an invariant measure of the generated process is raised. This problem was studied by Choquet and Deny [Sur l’équation de convolution
$\mu = \mu * \sigma $
. C. R. Acad....

Alternative Titles

Full title

On uniqueness of invariant measures for random walks on ${\textup {HOMEO}}^+(\mathbb R)

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_hal_primary_oai_HAL_hal_04214827v1

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_04214827v1

Other Identifiers

ISSN

0143-3857

E-ISSN

1469-4417

DOI

10.1017/etds.2021.31

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