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SUMMARY:Matteo Tanzi (New York University (USA))
DTSTART:20210604T140000Z
DTEND:20210604T150000Z
DTSTAMP:20260423T023015Z
UID:DinAmicI/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/25/
 ">Random-like properties of chaotic forcing</a>\nby Matteo Tanzi (New York
  University (USA)) as part of DinAmicI: Another Internet Seminar\n\n\nAbst
 ract\nWe prove that skew systems with a sufficiently expanding base have 
 “approximate” statistical properties similar to random ergodic Markov 
 chains. For example\, they exhibit approximate exponential decay of correl
 ations\, meaning that the exponential rate is observed modulo a controlled
  error. The fiber maps are only assumed to be Lipschitz regular and to dep
 end on the base in a way that guarantees diffusive behaviour on the vertic
 al component. The assumptions do not imply an hyperbolic picture and one c
 annot rely on the spectral properties of the transfer operators involved. 
 The approximate nature of the result is the inevitable price one pays for 
 having so mild assumptions on the dynamics on the vertical component. The 
 error in the approximation is shown to go to zero when the expansion of th
 e base tends to infinity.\n
LOCATION:https://researchseminars.org/talk/DinAmicI/25/
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