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)
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Cambridge, UK: Cambridge University Press
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Language
English
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Cambridge, UK: Cambridge University Press
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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....
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Full title
On uniqueness of invariant measures for random walks on ${\textup {HOMEO}}^+(\mathbb R)
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TN_cdi_hal_primary_oai_HAL_hal_04214827v1
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_04214827v1
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ISSN
0143-3857
E-ISSN
1469-4417
DOI
10.1017/etds.2021.31