Exponential convergence to quasi-stationary distribution and \(Q\)-process
From MaRDI portal
Publication:2634900
DOI10.1007/S00440-014-0611-7zbMATH Open1334.60015arXiv1404.1349OpenAlexW1968548276MaRDI QIDQ2634900
Author name not available (Why is that?)
Publication date: 10 February 2016
Published in: (Search for Journal in Brave)
Abstract: For general, almost surely absorbed Markov processes, we obtain necessary and sufficient conditions for exponential convergence to a unique quasi-stationary distribution in the total variation norm. These conditions also ensure the existence and exponential ergodicity of the -process (the process conditioned to never be absorbed). We apply these results to one-dimensional birth and death processes with catastrophes, multi-dimensional birth and death processes, infinite-dimensional population models with Brownian mutations and neutron transport dynamics absorbed at the boundary of a bounded domain.
Full work available at URL: https://arxiv.org/abs/1404.1349
No records found.
No records found.
This page was built for publication: Exponential convergence to quasi-stationary distribution and \(Q\)-process
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2634900)
