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A Structured Condition Number for Kemeny's Constant

A Structured Condition Number for Kemeny's Constant

Kemeny's constant is an interesting and useful quantifier describing the global average behavior of a Markov chain. In this article, we examine the sensitivity of Kemeny's constant to perturbations in the transition probabilities. That is, we consider the problem of generating a condition number for Kemeny's constant to give an …