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Exponential Law for Random Maps on Compact Manifolds. (arXiv:1705.05869v1 [math.DS])
来源于:arXiv
We consider random dynamical systems on manifolds modeled by a skew product
which have certain geometric properties and whose measures satisfy quenched
decay of correlations at a sufficient rate. We prove that the limiting
distribution for the hitting and return times to geometric balls are both
exponential for almost every realisation. We then apply this result to random
$C^2$ maps of the interval and random parabolic maps on the unit interval. 查看全文>>