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SUMMARY:Françoise Pène (Université de Bretagne Occidentale (France))
DTSTART:20200708T150000Z
DTEND:20200708T160000Z
DTSTAMP:20260423T023047Z
UID:DinAmicI/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/9/"
 >Invariance by induction of the asymptotic variance</a>\nby Françoise Pè
 ne (Université de Bretagne Occidentale (France)) as part of DinAmicI: Ano
 ther Internet Seminar\n\n\nAbstract\nIt is well known that the integral of
  an observable is preserved by induction. We are interested here in extens
 ions of this result to moments of order 2 and 3. We have two natural candi
 dates for the second and third order moments: the classical asymptotic var
 iance (given by the Green-Kubo formula) and an analogous quantity of the t
 hird order. This question arises from the proof of CLT. In some cases\, th
 e asymptotic variance in the CLT can be expressed on the one hand in terms
  of the classical Green-Kubo formula and on the other hand in terms of the
  Green-Kubo formula for the induced system. Under general assumptions (inv
 olving transfer operators)\, we prove that the asymptotic variance is pres
 erved by induction and that the natural third order quantity is preserved 
 up to an error term.\n\nThis is joint work with Damien Thomine.\n\nzoom li
 nk: https://unipd.zoom.us/j/95330010741?pwd=ZXBpejY0ZUNiQUVkdXFrcnF0RW81UT
 09\n
LOCATION:https://researchseminars.org/talk/DinAmicI/9/
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