Why is Kemeny’s constant a constant?

DOI10.1017/jpr.2018.68zbMath1405.60112arXiv1711.03313OpenAlexW2962905602WikidataQ128583520 ScholiaQ128583520MaRDI QIDQ4611266

Beatrice Meini, Jeffrey J. Hunter, Guy Latouche, Dario Andrea Bini, Peter G. Taylor

Publication date: 17 January 2019

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03313

zbMATH Keywords

continuous-time Markov chainpassage timedeviation matrixdiscrete-time Markov chainKemeny's constant

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Numerical analysis or methods applied to Markov chains (65C40)

Related Items (10)

Letter to the Editor ⋮ On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival ⋮ Kemeny's constant and global mean first passage time of random walks on octagonal cell network ⋮ Kemeny's constant for countable Markov chains ⋮ Large deviations for the skew-detailed-balance lifted-Markov processes to sample the equilibrium distribution of the Curie–Weiss model ⋮ Directed forests and the constancy of Kemeny's constant ⋮ Kemeny's function for Markov chains and Markov renewal processes ⋮ A Structured Condition Number for Kemeny's Constant ⋮ Kemeny's constant for one-dimensional diffusions ⋮ Kemeny's constant for a graph with bridges

Cites Work

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• The birth and death processes as diffusion processes
• Continuous-time Markov chains. An applications-oriented approach
• Ergodic potential
• Non-negative matrices and Markov chains.
• Mixing times with applications to perturbed Markov chains
• Strong ergodicity for single-birth processes
• Speed of coming down from infinity for birth-and-death processes
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• THE DEVIATION MATRIX OF A CONTINUOUS-TIME MARKOV CHAIN
• Strong ergodicity for Markov processes by coupling methods
• The Role of Kemeny's Constant in Properties of Markov Chains
• Strong ergodicity of monotone transition functions

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