Convergence in total variation distance for (in)homogeneous Markov processes

DOI10.1016/j.spl.2018.01.011zbMath1391.60195OpenAlexW2790118713MaRDI QIDQ1640925

Ming Zhang, Yuhui Zhang, Li-Ping Xu, Yong Hua Mao

Publication date: 14 June 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.01.011

zbMATH Keywords

rate of convergencefunctional inequalitiestotal variation distance(in)homogeneous Markov processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Exponential convergence rate in Boltzmann-Shannon entropy
• Diffusion semigroup on manifolds with time-dependent metrics
• Convergence of some time inhomogeneous Markov chains via spectral techniques
• Weak logarithmic Sobolev inequalities and entropic convergence
• Analysis and Geometry of Markov Diffusion Operators
• Logarithmic Sobolev inequalities for inhomogeneous Markov Semigroups
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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