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math.PR2026
The Aldous chain on cladograms mixes in order steps
Valentin Féray, Lucas Teyssier
Cladograms of size are unrooted binary trees whose leaves are labelled from 1 to . Aldous introduced in 2000 a Markov chain on cladograms, a step of which consists of removi…
math.PR2026
Stationary hitting times on vertex-transitive graphs
Nathanaël Berestycki, Jonathan Hermon, Lucas Teyssier
We prove a refined version of the Aldous and Brown's exponential approximation of stationary hitting times. These are valid for all reversible Markov chains. We then specialise our…