[SeminarioDeProbabilidad] Seminario de Probabilidad y Procesos Estocásticos - 31 de Agosto de 2022

[María Clara Fittipaldi]

Miércoles 31 de Agosto de 2022 a las 13h15,
Auditorio Carlos Graef (Edificio Amoxcalli)
Facultad de Ciencias.

Natalia Cardona-Tobón
<https://sites.google.com/view/natalia-cardona-tobon/home-page>
Institute of Mathematical Stochastics
University of Göttingen

Nos hablará sobre "The contact process with fitness on Galton-Watson trees".

Abstract: The contact process is a simple model for the spread of an
infection in a structured population. We consider a variant of the contact
process, where vertices are equipped with a random fitness representing
inhomogeneities among individuals. In this inhomogeneous contact process,
the infection is passed along an edge with rate proportional to the product
of the fitness values of the vertices on either end. We assume that the
underlying population structure is given by a Galton-Watson tree. Recent
works by Huang/Durrett and Bhamidi et al have given necessary and
sufficient conditions on the offspring distribution for the classic contact
process to exhibit a phase transition. In this spirit, we give sufficient
conditions on the fitness and offspring distribution for the contact
process with fitness on Galton-Watson trees that either guarantee that
there is a phase transition or that the process is always supercritical. In
particular, we can see that we need to consider the combined effect of
fitness and offspring distribution to decide which scenario occurs. This is
joint work with Marcel Ortgiese (University of Bath).

Organizan
Laura Eslava
María Clara Fittipaldi
Saraí Hernández-Torres.

Página web:
http://www.matem.unam.mx/~seminarioproba/
------------ próxima parte ------------
Se ha borrado un adjunto en formato HTML...
URL: <http://higgs.matem.unam.mx/pipermail/seminarioprobabilidadyprocesos/attachments/20220824/e702f004/attachment.htm>