Long-time behaviour of structured populations via Harris's Theorem

par Havva Yoldas (ICJ, Univ. Lyon 1)

mardi 15 sept. 2020, 15:15 → 16:15 Europe/Paris

Fokko du Cloux (La Doua, Bâtiment Braconnier)

In this talk, we give a brief explanation of Harris's Theorem that is developed for studying ergodic behaviour of Markov processes.

The approach is based on quantitatively verifying minorisation and geometric drift conditions in order to obtain quantitative estimates on the long-time behaviour of some linear, non-local PDEs. We will see how this method applies to elapsed-time structured neuron populations and growth-fragmentation equations.

This talk is based on joint works with José A. Cañizo (U. Granada) and Pierre Gabriel (U. Versailles).

In this talk, we give a brief explanation of Harris's Theorem that is developed for studying ergodic behaviour of Markov processes.

The approach is based on quantitatively verifying minorisation and geometric drift conditions in order to obtain quantitative estimates on the long-time behaviour of some linear, non-local PDEs. We will see how this method applies to elapsed-time structured neuron populations and growth-fragmentation equations.

This talk is based on joint works with José A. Cañizo (U. Granada) and Pierre Gabriel (U. Versailles).