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UID:20251118T045544EST-9251Br9nCR@132.216.98.100
DTSTAMP:20251118T095544Z
DESCRIPTION:Title: Continuous-state branching processes with competition: D
 uality and Reflection at Infinity\n\nAbstract: Continuous-state branching 
 processes with quadratic competition have been defined by A. Lambert in 20
 05. Heuristically\, the dynamics of the process are those of a branching p
 rocess in continuous time and continuous-state space but with an additiona
 l quadratic death term modelling competition. At a constant rate\, two ind
 ividuals are picked at random and one kills the other. We ask ourselves ho
 w the competition may regulate the growth of the population size when the 
 branching mechanism is of the most general form. A duality relation with s
 ome generalized Feller diffusions will allow us to classify completely the
  boundaries zero and infinity. In particular\, we will see that in some ca
 ses\, it is possible to construct an extension of the minimal process with
  infinity regular reflecting. In this latter case\, the process typically 
 reaches infinity by performing infinitely many large jumps in a finite int
 erval of time and is instantaneously pushed back in $[0\,\infty)$ by the c
 ompetition.\n
DTSTART:20190401T173000Z
DTEND:20190401T183000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Clément Foucart (Paris 13)
URL:/mathstat/channels/event/clement-foucart-paris-13-
 295692
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