Random Conformal Dynamical Systems

Deroin, Bertrand; Kleptsyn, Victor Alexeevitch

doi:10.1007/s00039-007-0606-y

Scientific article

English

Random Conformal Dynamical Systems

Contributors

Deroin, Bertrand; Kleptsyn, Victor Alexeevitch

Published in

Geometric and functional analysis, vol. 17, no. 4, p. 1043-1105

Publication date

2007

Abstract

We consider random dynamical systems such as groups of conformal transformations with a probability measure, or transversally conformal foliations with a Laplace operator along the leaves, in which case we consider the holonomy pseudo-group. We prove that either there exists a measure invariant under all the elements of the group (or the pseudogroup), or almost surely a long composition of maps contracts a ball exponentially. We deduce some results about the unique ergodicity.

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

DEROIN, Bertrand, KLEPTSYN, Victor Alexeevitch. Random Conformal Dynamical Systems. In: Geometric and functional analysis, 2007, vol. 17, n° 4, p. 1043–1105. doi: 10.1007/s00039-007-0606-y

Article (Published version)

Identifiers

PID : unige:9781
DOI : 10.1007/s00039-007-0606-y

Additional URL for this publication

http://www.springerlink.com/index/10.1007/s00039-007-0606-y

Journal ISSN

1016-443X

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Random Conformal Dynamical Systems

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Published in

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Abstract

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Citation (ISO format)

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