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Matteo Tanzi (New York University, USA)

June 4 @ 4:00 pm - 5:00 pm CEST

Speaker: Matteo Tanzi  (New York University, USA)

Title: Random-like properties of chaotic forcing

Abstract: We 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 correlations, meaning that the exponential rate is observed modulo a controlled error. The fiber maps are only assumed to be Lipschitz regular and to depend on the base in a way that guarantees diffusive behaviour on the vertical component. The assumptions do not imply an hyperbolic picture and one cannot 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 the base tends to infinity.

NOTE: The seminar will be streamed live on our YouTube channel then saved there. If you ask questions, with your video feed on or off, you agree to the use of your image/spoken words for said purpose.

Details

Date:
June 4
Time:
4:00 pm - 5:00 pm CEST
Event Category:

Venue

Seminar is over: watch it on our YouTube channel (link below)
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Organizer

DAI Seminar Committee
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The Community of Italian Dynamicists