Eigentime identity for asymmetric finite Markov chains

DOI10.1007/s11464-010-0067-8zbMath1221.60107OpenAlexW2016567407MaRDI QIDQ610730

Hao Cui, Yong Hua Mao

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1007/s11464-010-0067-8

zbMATH Keywords

eigenvaluehitting timeJordan decompositionasymmetric Markov chaineigentime identity

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Eigenvalues, singular values, and eigenvectors (15A18) Continuous-time Markov processes on discrete state spaces (60J27)

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Eigentime identities of fractal sailboat networks ⋮ Eigentime identities of flower networks with multiple branches ⋮ Eigentime identities of potting networks ⋮ On hitting time, mixing time and geometric interpretations of Metropolis-Hastings reversiblizations ⋮ On resistance distance of Markov chain and its sum rules ⋮ On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival ⋮ Hitting time and mixing time bounds of Stein's factors ⋮ Hitting, mixing and tunneling asymptotics of Metropolis-Hastings reversiblizations in the low-temperature regime ⋮ On some mixing times for nonreversible finite Markov chains ⋮ Velocity formulae between entropy and hitting time for Markov chains ⋮ EIGENTIME IDENTITIES OF FRACTAL FLOWER NETWORKS ⋮ Resistance distance in potting networks ⋮ Analysis of non-reversible Markov chains via similarity orbits ⋮ On the fastest finite Markov processes ⋮ Generalized Markov chain tree theorem and Kemeny's constant for a class of non-Markovian matrices

Cites Work

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• Nash inequalities for finite Markov chains
• Eigentime identity for transient Markov chains
• Continuous-time Markov chains. An applications-oriented approach
• Shift-coupling
• Shift-coupling and convergence rates of ergodic averages
• The eigentime identity for continuous-time ergodic Markov chains

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