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SUMMARY:Group Random Element Generators
DTSTART;VALUE=DATE-TIME:20211011T140000Z
DTEND;VALUE=DATE-TIME:20211011T151500Z
DTSTAMP;VALUE=DATE-TIME:20220128T172406Z
UID:indico-event-7038@indico.math.cnrs.fr
DESCRIPTION:In this talk I will discuss the notion of a GREG — a Group R
andom Element Generator — which is a generalization of a random walk on
a group. Roughly\, a Greg is a random sequence of group elements.\n\nAssoc
iated with a Greg one obtains a pair of Furstenberg-Poisson boundaries\, t
he spaces of ideal futures and ideal pasts. An important property that a G
reg might have is the Asymptotic Past And Future Independence. Gregs satis
fying this property\, namely Apafic Gregs\, are very well behaved. Geodesi
c Flows in a negatively curved environment\, as well as classical random w
alks on groups\, give rise to Apafic Gregs. After surveying the subject\,
I will focus on linear representations of Gregs and the associated invaria
nt called the Lyapunov spectrum. As it turns out\, under mild assumptions
the Lyapunov spectrum would be simple and continuously varying.\n\nThe tal
k is based on joint work with Alex Furman.\n\n============================
======================================\n\nIHES Covid-19 regulations:\n\n-
all the participants who will attend the event in person will have to keep
their mask on in indoor spaces\nand where the social distancing is not po
ssible\;\n- speakers will be free to wear their mask or not at the moment
of their talk if they feel more comfortable\nwithout it\;\n- Up to 25 pers
ons in the conference room\, every participant will be asked to be able to
provide a health pass\n- Over 25 persons in the conference room\, every p
articipant will be asked to provide a health pass which will\nbe checked a
t the entrance of the conference room.\n\n================================
==================================\n\nhttps://indico.math.cnrs.fr/event/70
38/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/7038/
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