A sharp analysis of the mixing time for random walk on rooted trees

Details A sharp analysis of the mixing time for random walk on rooted trees A sharp analysis of the mixing time for random walk on rooted trees

2009-08-08

arxiv.org/abs/0908.1141v1

Mathematics

Combinatorics

13 pages

Scientific paper

We define an analog of Plancherel measure for the set of rooted unlabeled
trees on n vertices, and a Markov chain which has this measure as its
stationary distribution. Using the combinatorics of commutation relations, we
show that order n^2 steps are necessary and suffice for convergence to the
stationary distribution.

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