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DTSTAMP:20260425T075307Z
UID:668559d67ce8a855100274@ist.ac.at
DTSTART:20241216T170000
DTEND:20241216T180000
DESCRIPTION:Speaker: Wolfgang Woess\nhosted by Laszlo Erdös\, Jan Maas\nAb
 stract: Euclidean branching Brownian motion (BBM) has been intensively stu
 died during many decades by renowned researchers. BBM on hyperbolic space 
 has received less attention. A profound study of Lalley and Sellke (1997) 
 provided insight on the recurrent\, resp. transient regimes of BBM on the 
 Poincare' disk. In particular\, they determined the Hausdorff dimension of
  the limit set on the boundary circle in dependence on the fission rate of
  the branching particles. In the present notes\, further features are exhi
 bited. The rates of the maximal and minimal hyperbolic distances to the st
 arting point are determined\, as well as refined asymptotic estimates in t
 he transient regime. The other main issues studied here concern the behavi
 our of the empiricial distributions of the branching population\, as time 
 goes to infinity\, and their convergence to an infinitely supported random
  limit probability measure on the boundary.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Wolfgang Woess: Hyperbolic branching Brownian motion
URL:https://talks-calendar.ista.ac.at/events/5092
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