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A structured condition number for Kemeny's constant
(SIAM Journal on Matrix Analysis and Applications, 2019)
Kemeny's constant is an interesting and useful quantifier describing the global average behaviour of a Markov chain. In this article, we examine the sensitivity of Kemeny's constant to perturbations in the transition ...
Estimating random walk centrality in networks
(Computational Statistics & Data Analysis 138, pp. 190-200., 2019)
Random walk centrality (equivalently, the accessibility index) for the states of a time-homogeneous irreducible Markov chain on a finite state space is considered. It is known that the accessibility index for a particular ...