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math.PR2012★ 22 cited
Tight inequalities among set hitting times in Markov chains
Simon Griffiths, Ross J. Kang, Roberto Imbuzeiro Oliveira +1
Given an irreducible discrete-time Markov chain on a finite state space, we consider the largest expected hitting time of a set of stationary measure at least for $α\in(…
math.PR2009★ 11 cited
Invasion percolation on the Poisson-weighted infinite tree
Louigi Addario-Berry, Simon Griffiths, Ross J. Kang
We study invasion percolation on Aldous' Poisson-weighted infinite tree, and derive two distinct Markovian representations of the resulting process. One of these is the $σ\to\infty…