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Iterated Piecewise-Stationary Random Functions

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arxiv 1909.10093 v1 pith:J64DSIUP submitted 2019-09-22 math.PR cs.MAcs.SYeess.SYmath.OC

Ramen Ghosh , Jakub Marecek , Robert Shorten This is my paper · ORCID
classification math.PRcs.MAcs.SYeess.SYmath.OC
keywords functionsiteratedrandomaccordingdistributionfamilypiecewise-stationarybound
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Within the study of uncertain dynamical systems, iterated random functions are a key tool. There, one samples a family of functions according to a stationary distribution. Here, we introduce an extension, where one sample functions according to a time-varying distribution over the family of functions. For such iterated piecewise-stationary random functions on Polish spaces, we prove a number of results, including a bound on the tracking error.

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