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
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