Noah Forman

activity

20172025

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

15 citations · 15 across the 5 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.PR2019★ 15 cited

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

Noah Forman, Soumik Pal, Douglas Rizzolo +1

We introduce diffusions on a space of interval partitions of the unit interval that are stationary with the Poisson-Dirichlet laws with parameters $(α, 0)$ and $(α, α)$ . The construc…

math.PR2019

Diffusions on a space of interval partitions: construction from marked Lévy processes

Noah Forman, Soumik Pal, Douglas Rizzolo +1

Consider a spectrally positive Stable( $1 + α$ ) process whose jumps we interpret as lifetimes of individuals. We mark the jumps by continuous excursions assigning "sizes" varying duri…

math.PR2019

Metrics on sets of interval partitions with diversity

Noah Forman, Soumik Pal, Douglas Rizzolo +1

We first consider interval partitions whose complements are Lebesgue-null and introduce a complete metric that induces the same topology as the Hausdorff distance (between compleme…