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SUMMARY:Branching Brownian motion\, branching random walks\, and the Fishe
 r-KPP equation in spatially random environment - Alexander Drewitz (Univer
 sity of Cologne)
DTSTART:20241101T101500Z
DTEND:20241101T111500Z
UID:TALK220750@talks.cam.ac.uk
DESCRIPTION:Branching Brownian motion\, branching random walks\, and the F
 -KPP equation have been the subject of intensive research during the last 
 couple of decades. By means of Feynman-Kac and McKean formulas\, the under
 standing of the maximal particles of the former two Markov processes is re
 lated to insights into the position of the front of the solution to the F-
 KPP equation.&nbsp\;\nWe will discuss some recent result on extensions of 
 the above models to spatially random branching rates and random nonlineari
 ties. Interestingly\, the introduction of such inhomogeneities leads to a 
 richer and much more nuanced picture when compared to the homogeneous sett
 ing.\nBased on joint works with J. Čern&yacute\;\, L. Schmitz and P. Oswa
 ld.
LOCATION:Seminar Room 1\, Newton Institute
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