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UID:4744@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230417T093000
DTEND;TZID=Europe/Paris:20230417T113000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/ancona-et-le-3-2/
SUMMARY: (...): Ancona et le 3/2
DESCRIPTION:: Il y sera question du document :\nLOCAL LIMIT THEOREM FOR SYM
 METRIC RANDOM WALKS IN GROMOV-HYPERBOLIC GROUPS\npar SÉBASTIEN GOUËZEL\n
 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY\, July 2014.\nCompleting a st
 rategy of Gouëzel and Lalley\, we prove a local limit theorem for the ran
 dom walk generated by any symmetric finitely supported probability measure
  on a non-elementary Gromov-hyperbolic group: denoting by R the inverse of
  the spectral radius of the random walk\, the probability to return to the
  identity at time n behaves like CR−nn−3/2. An important step in the p
 roof is to extend Ancona's results on the Martin boundary up to the spectr
 al radius: we show that the Martin boundary for R-harmonic functions coinc
 ides with the geometric boundary of the group. In an appendix\, we explain
  how the symmetry assumption of the measure can be dispensed with for surf
 ace groups.\n[su_spacer size="10"]\n\n\nGroupe de Travail RAS\n&nbsp\;
CATEGORIES:Groupe de travail,RAS
LOCATION:Saint-Charles - FRUMAM (3ème étage)\, 3\, place Victor Hugo\, Ma
 rseille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM 
 (3ème étage):geo:0,0
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