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Hitting times and periodicity in random dynamics

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rando_ev_arx_fin.pdf (338.6Kb)
Date
10/2015
Author
Todd, Michael John
Rousseau, Jerome
Keywords
Hitting times
Random dynamical systems
Exponential law
Extremal index
QA Mathematics
T-NDAS
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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.
Citation
Todd , M J & Rousseau , J 2015 , ' Hitting times and periodicity in random dynamics ' , Journal of Statistical Physics , vol. 161 , no. 1 , pp. 131-150 . https://doi.org/10.1007/s10955-015-1325-7
Publication
Journal of Statistical Physics
Status
Peer reviewed
DOI
https://doi.org/10.1007/s10955-015-1325-7
ISSN
0022-4715
Type
Journal article
Rights
© 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
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/9179

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