Juan Carlos Pardo Millan (CIMAT)
Title: Branching processes with pairwise interactions
Abstract: A branching processes with pairwise interactions is a continuous time Markov chain that behaves as a pure branching process with the difference that competition and cooperation events between pairs of individual are also allowed. A remarkable example of this family of processes is the so-called logistic branching process.
In this talk, we provide a series of integral tests that fully explains how competition and cooperation regulates the long-term behaviour of BPI-processes. In particular, we are interested on the events of explosion and extinction, the existence of a stationary distribution and the property of coming down from infinity. Our arguments uses moment duality and a random time change.
Link:
Meeting ID: 970 9325 9428
Passcode: problab
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