Domination criterion for some positive operators and quasi-stationary distributions.

Resumen:   After a short introduction to the concept of quasi-stationary distributions, I will present the typical and well known “finite state space” convergence results. In a second time, I will present domination criteria for the quasi-compactness of positive operators and show some applications of these spectral theoretical results for the study of quasi-stationary distributions. The talk will conclude with an illustration on the interplay between these results and recent ones on weighted branching processes, obtained in collaboration with Nicolas Zalduendo.

Posted on Oct 7, 2025 in Seminario de Probabilidades de Chile, Seminars