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SUMMARY:Branching annihilating random walks with local self-regulations -
Alice Callegaro (Mainz)
DTSTART;VALUE=DATE-TIME:20221121T120000Z
DTEND;VALUE=DATE-TIME:20221121T130000Z
UID:https://talks.ox.ac.uk/talks/id/657b1ee9-2ab3-48cd-866d-49a8cea4e491/
DESCRIPTION:Branching annihilating random walks are interacting particle s
ystems that appear as a natural mathematical tool to model the spread of a
population competing for spatial resources. The classical methods for pro
ving survival heavily rely on monotonicity properties of the system and ar
e therefore not applicable in this context. We consider a model on the lat
tice in which particles branch\, perform jumps within a certain radius of
their parent and are killed whenever they occupy the same site. We study t
he extinction and survival of the system under different parameter regimes
and prove results about the particle density on the survival cluster. Bas
ed on joint works with Nina Gantert (TU Munich)\, Matthias Birkner (Univer
sity of Mainz)\, Jiri Cérny (University of Basel) and Pascal Oswald (Uni
versity of Basel). \nSpeakers:\nAlice Callegaro (Mainz)
LOCATION:Mathematical Institute (L5)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/657b1ee9-2ab3-48cd-866d-49a8cea4e491/
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DESCRIPTION:Talk:Branching annihilating random walks with local self-regul
ations - Alice Callegaro (Mainz)
TRIGGER:-PT1H
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