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SUMMARY:Hiroki Takahasi (Keio University)
DTSTART:20221213T130000Z
DTEND:20221213T140000Z
DTSTAMP:20260423T053137Z
UID:OWNS/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/104/">D
 istribution of cycles for one-dimensional random dynamical systems</a>\nby
  Hiroki Takahasi (Keio University) as part of One World Numeration seminar
 \n\n\nAbstract\nWe consider an independently identically distributed rando
 m dynamical system generated by finitely many\, non-uniformly expanding Ma
 rkov interval maps with a finite number of branches.\nAssuming a topologic
 ally mixing condition and the uniqueness of equilibrium state for the asso
 ciated skew product map\, we establish a samplewise (quenched) almost-sure
  level-2 weighted equidistribution of "random cycles"\, with respect to a 
 natural stationary measure as the periods of the cycles tend to infinity. 
 This result implies an analogue of Bowen's theorem on periodic orbits of t
 opologically mixing Axiom A diffeomorphisms. \n\nThis talk is based on the
  preprint arXiv:2108.05522. If time permits\, I will mention some future p
 erspectives in this project.\n
LOCATION:https://researchseminars.org/talk/OWNS/104/
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