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SUMMARY:Giulio Tiozzo (University of Toronto)
DTSTART:20210322T143000Z
DTEND:20210322T154500Z
DTSTAMP:20260423T021421Z
UID:BODS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/14/">Th
 e fundamental inequality for random walks on cocompact Fuchsian groups</a>
 \nby Giulio Tiozzo (University of Toronto) as part of Bremen Online Dynami
 cs Seminar\n\n\nAbstract\nSeveral stochastic processes are defined on the 
 hyperbolic plane H^2. For instance\, one can consider a Brownian motion\, 
 or a discretized version thereof\, when one performs a random walk on the 
 group of isometries of H^2. \n\nIt is a recurring question\, going back to
  Furstenberg\, Guivarc’h\, Ledrappier\, Kaimanovich\, and others\, \nwhe
 ther the measures obtained from the random walks coincide with measures of
  geometric origin\, such as the Lebesgue measure. \n\nWe prove that the hi
 tting measure is singular with respect to Lebesgue measure for any random 
 walk on a cocompact Fuchsian group generated by translations on opposite s
 ides of a symmetric hyperbolic polygon. This addresses a question of Kaima
 novich-Le Prince. \n\nJoint with P. Kosenko.\n
LOCATION:https://researchseminars.org/talk/BODS/14/
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