most citedDiffusions on a space of interval partitions with Poisson-Dirichlet stationary distributions

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math.PR2023

The Aldous diffusion: a stationary evolution of the Brownian CRT

Noah Forman, Soumik Pal, Douglas Rizzolo +1

Motivated by a down-up Markov chain on cladograms, David Aldous conjectured in 1999 that there exists a "diffusion on continuum trees" whose mass partitions at any finite number of…

math.PR2016★ 1 cited

Diffusions on a space of interval partitions with Poisson-Dirichlet stationary distributions

Noah Forman, Soumik Pal, Douglas Rizzolo +1

We construct a pair of related diffusions on a space of interval partitions of the unit interval that are stationary with the Poisson-Dirichlet laws with parameters (1/2,0)…