Ho il piacere di invitarvi al seguente seminario che si terrà
Mercoledì 15 ottobre, alle ore 16.00, nell'aula 2BC30.
del Dipartimento di Matematica dell'Università degli Studi di Padova.
Speaker: Prof. Jan Swart
Affiliation: Institute of Information Theory and Automation,
Academy of Sciences of the Czech Republic Title: Particle systems with cooperative branching
Abstract:
In a cooperative branching system, pairs of particles, rather than
individuals, produce offspring. Interacting particle systems with this sort of
interaction have been used to model the effect of sexual reproduction and in
particular the effect that in many species, a low population density reduces
the reproductive success of individuals due to the difficulty of finding a
partner. In this talk, I will review some older work on this sort of models
and also discuss recent joint work with Anja Sturm on a model with cooperative
branching and coalesence. For such a model in one dimension, we show that for
low cooperative branching rates, the process dies out at the same geometric
rate as a pure coalescent. The proof uses ideas related to a general duality
for monotone systems due to Lawrence Gray.
--
Alessandra Bianchi
Dip. di Matematica Pura e Applicata
Università di Padova
Via Trieste, 63 - 35121 Padova, Italy
phone: +39 049 827 14 06
fax: +39 049 827 14 28
e-mail: bianchi@math.unipd.it
http://www.math.unipd.it/~bianchi/