BEGIN:VCALENDAR
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 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20241003T130849Z
DTSTART:20241009T140000Z
DTEND:20241009T150000Z
SUMMARY:Cagri Sert - Stationary probability measures on projective spaces
 
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}yun-m1tbai3
 4-gklg23
DESCRIPTION:Cagri Sert (University of Warwick) will speak at the Probabil
 ity seminar.\n\nTitle: Stationary probability measures on projective spa
 ces\n\nAbstract:\n\nWe give a description of stationary probability meas
 ures for the Markov chains on projective spaces induced by iid random wa
 lks on $\\GL_d(\\R)$. This generalizes the work of Bougerol--Picard ('92
 ) on affine stochastic recursion. As in that case\, the analysis is carr
 ied out in three parts: the contracting\, expanding\, and the more subtl
 e  critical case. In the first part\, I will focus on the contracting ca
 se\, which also yields a new interesting class of stationary probability
  measures and fractals on projective spaces. In the second part\, I will
  mention the results in the critical case and make connection with the w
 orks of Furstenberg--Kifer\, Guivarc'h--Raugi and Benoist--Quint. Combin
 ation of all these works allows to get a complete description of station
 ary probability measures. Joint works with Richard Aoun.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 2\, Alan Turing Building\, Manchester
END:VEVENT
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