Hitting times and periodicity in random dynamics

Michael John Todd; Jerome Rousseau

doi:10.1007/s10955-015-1325-7

Hitting times and periodicity in random dynamics

Michael John Todd, Jerome Rousseau

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

4 Downloads (Pure)

Abstract

We prove quenched laws of hitting time statistics for random subshifts of finite type. In particular we prove a dichotomy between the law for periodic and for non-periodic points. We show that this applies to random Gibbs measures.

Original language	English
Pages (from-to)	131-150
Number of pages	20
Journal	Journal of Statistical Physics
Volume	161
Issue number	1
Early online date	21 Jul 2015
DOIs	https://doi.org/10.1007/s10955-015-1325-7
Publication status	Published - Oct 2015

Keywords

Hitting times
Random dynamical systems
Exponential law
Extremal index

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10.1007/s10955-015-1325-7

rando-ev_arx_fin
© Springer Science+Business Media New York 2015. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://dx.doi.org/10.1007/s10955-015-1325-7
Accepted author manuscript, 339 KB

BREUDS: EU FP7 Marie Curie IRSES 'BREUDS'
Todd, M. (PI)
European Commission
1/01/13 → 31/12/16
Project: Standard

Cite this

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abstract = "We prove quenched laws of hitting time statistics for random subshifts of finite type. In particular we prove a dichotomy between the law for periodic and for non-periodic points. We show that this applies to random Gibbs measures.",

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KW - Hitting times

KW - Random dynamical systems

KW - Exponential law

KW - Extremal index

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DO - 10.1007/s10955-015-1325-7

M3 - Article

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EP - 150

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

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Hitting times and periodicity in random dynamics

Abstract

Keywords

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Projects

BREUDS: EU FP7 Marie Curie IRSES 'BREUDS'

Cite this