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Måndag 20 mars 2017, Serik Sagitov, Matematisk statistik, Chalmers

Talare: Serik Sagitov, Matematisk statistik, Chalmers

Titel: Galton-Watson processes with the expectation kernel having an atom

Tid och plats: Måndag 20 mars 2017, Hopningspunkten, 15.15-16.15

Sammanfattning: Branching processes with infinitely many types are usually studied under the assumptions of the Perron-Frobenius theorem for the expectation kernels. The Perron-Frobenius eigenvalue then gives the growth rate of the process allowing to distinguish between subcritical, critical, and supercritical reproduction regimes.

We consider Galton-Watson processes with a general type space whose expectation kernels have a particular structure, ensuring the existence of an embedded single-type branching process. The mean offspring number of the embedded process can be used as a criticality gauge for the multi-type Galton-Watson process even outside the Perron-Frobenius zone.

The talk will be given on a level suitable for Ph.D. students.

Fri Jan 20 15:27:00 CET 2017

Sidansvarig: karin.johansson@liu.se
Senast uppdaterad: Fri Feb 17 10:25:41 CET 2017