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SUMMARY:Averaging result for differential equations perturbed by a Z-perio
dic Lorentz gas.
DTSTART:20231114T160000Z
DTEND:20231114T170000Z
DTSTAMP:20240229T235200Z
UID:indico-event-230@events.dm.unipi.it
DESCRIPTION:Speakers: Maxence Phalempin (Università degli studi di Firenz
e)\n\nIn this talk I present some differential equation perturbed by the f
ast motion of a particle in a cylinder corresponding to the Z-periodic Lor
entz gas\, a model introduced by H.A Lorentz in 1905. I will discuss there
are one of the natural ways to extend the perturbed differential equation
s studied by Y.Kifer and Khasminskii for probability preserving Billiard t
ransformations\, to the infinite measure preserving Lorentz gas. I will st
ate a limit theorem providing the rate of convergence of the solution of t
he perturbed equation to a solution of an averaged ordinary differential e
quation. After explaining the main features of the limit process\, I wil
l give some idea of the proof based on the statement of a limit theorem fo
r a non-stationary ergodic sum on a Z-periodic Lorentz gas\n\nhttps://even
ts.dm.unipi.it/event/230/
LOCATION:CRM - SNS
URL:https://events.dm.unipi.it/event/230/
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