Exponential law for random maps on compact manifoldsThis work was partially supported by FAPESB, CNPq, CAPES, FCT project PTDC/MAT-PUR/28177/2017, with national funds, and by CMUP (UIDB/00144/2020), which is funded by FCT with national (MCTES) and European structural funds through the programs FEDER, under the partnership agreement PT2020. N Haydn is supported by Simons Foundation: Collaboration Grants for Mathematicians: ID 526571

We consider random dynamical systems on manifolds modelled 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 ex...

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Veröffentlicht in:Nonlinearity 2020-10, Vol.33 (12), p.6760-6789
Hauptverfasser: Haydn, Nicolai T A, Rousseau, Jérôme, Yang, Fan
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Sprache:eng
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