Criteria on ergodicity and strong ergodicity of single death processes

DOI10.1007/s11464-018-0722-zzbMath1402.60099OpenAlexW2893563515MaRDI QIDQ1626571

Yuhui Zhang

Publication date: 27 November 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0722-z

zbMATH Keywords

ergodicityrecurrencestrong ergodicitymoments of hitting timessingle death process

Mathematics Subject Classification ID

Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Improved global algorithms for maximal eigenpair ⋮ Moments of integral-type downward functionals for single death processes ⋮ Unnamed Item ⋮ Augmented truncation approximations to the solution of Poisson's equation for Markov chains ⋮ High order moments of first hitting times for single death processes ⋮ Criteria for geometric and algebraic transience for discrete-time Markov chains ⋮ Moments of first hitting times for birth-death processes on trees ⋮ Convergence rates in uniform ergodicity by hitting times and \(L^2\)-exponential convergence rates

Cites Work

• Multi-dimensional Q-processes
• Single birth processes
• Explicit bounds of the first eigenvalue.
• Ergodic degrees for continuous-time Markov chains
• Unified representation of formulas for single birth processes
• Strong ergodicity for single-birth processes
• Existence and Uniqueness of a Quasistationary Distribution for Markov Processes with Fast Return from Infinity
• Strong ergodicity for continuous-time Markov chains
• An extended class of time-continuous branching processes
• Exponential ergodicity for single-birth processes
• Uniqueness criteria for continuous-time Markov chains with general transition structures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Criteria on ergodicity and strong ergodicity of single death processes