Quasi-stationary distributions for standard processes with no negative jumps

Speaker:  Kosuke Yamato 
Affiliation: University of Osaka

Abstract

Markov processes with killing arise naturally in various stochastic models, such as the surplus process of an insurance company, population models in mathematical biology, and metastable states in nonequilibrium statistical mechanics. For such processes, a quasi-stationary distribution (QSD) serves as a conditional version of the stationary distribution, and the existence of a QSD and convergence to it, known as the Yaglom limit, play a fundamental role in understanding the stability of the system and the long-term extinction rate.