Return times at periodic points in random dynamics
Abstract
We prove a quenched limiting law for random measures on subshifts at periodic points. We consider a family of measures {µω}ω∈Ω, where the ‘driving space’ Ω is equipped with a probability measure which is invariant under a transformation θ. We assume that the fibred measures µω satisfy a generalised invariance property and are ψ-mixing. We then show that for almost every ω the return times to cylinders An at periodic points are in the limit compound Poisson distributed for a parameter ϑ which is given by the escape rate at the periodic point.
Citation
Haydn , N & Todd , M J 2017 , ' Return times at periodic points in random dynamics ' , Nonlinearity , vol. 30 , no. 1 , pp. 73-89 . https://doi.org/10.1088/0951-7715/30/1/73
Publication
Nonlinearity
Status
Peer reviewed
ISSN
0951-7715Type
Journal article
Rights
© 2016, IOP Publishing Ltd & London Mathematical Society. This work has been 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 iopscience.iop.org / http://dx.doi.org/10.1088/0951-7715/30/1/73
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