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SUMMARY:Remarks on hyperbolic branching Brownian motion
DTSTART:20260417T113000Z
DTEND:20260417T123000Z
DTSTAMP:20260503T045200Z
UID:indico-event-16450@indico.math.cnrs.fr
DESCRIPTION:Speakers: Wolfgang Woess (TU Graz)\n\nEuclidean branching Brow
 nian motion (BBM) has been intensively studied during many decades by reno
 wned researchers. BBM on hyperbolic space has received less attention. A p
 rofound study of Lalley and Sellke (1997) provided insight on the recurren
 t\, resp. transient regimes of BBM on the   Poincare' disk. In particula
 r\, they determined the Hausdorff dimension of the limit set on the bounda
 ry circle in dependence on the fission rate of the branching particles. I
 n the talk\, further features are exhibited. The rates of the maximal and 
 minimal hyperbolic distances to the starting point are determined\, as wel
 l as refined asymptotic estimates in the transient regime. The other main
  issues studied here concern the behaviour of the empiricial distributions
  of the branching  population\, as time goes to infinity\, and their con
 vergence to   an infinitely supported random limit probability measure 
 on the  boundary.\nThe talk concludes with some open questions hat I had 
 posed and recent answers by D. Geldbach (Oxford).\n\nhttps://indico.math.
 cnrs.fr/event/16450/
LOCATION:E2 1180 (Tours)
URL:https://indico.math.cnrs.fr/event/16450/
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