Noah Forman

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20112025

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

15 citations · 71 across the 16 of their papers we have counts for

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Showing 2020 · math.PRShow all

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math.PR2020

Diffusions on a space of interval partitions: The two-parameter model

Noah Forman, Douglas Rizzolo, Quan Shi +1

We introduce and study interval partition diffusions with Poisson--Dirichlet $(α, θ)$ stationary distribution for parameters $α \in (0, 1)$ and $θ \geq 0$ . This extends previous work on t…

math.PR2020★ 10 cited

A two-parameter family of measure-valued diffusions with Poisson-Dirichlet stationary distributions

Noah Forman, Douglas Rizzolo, Quan Shi +1

We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions in which ranked masses of atoms are stationary with the Poisson-Dirichlet$(α,θ)…