15 citations · 15 across the 2 of their papers we have counts for
8 papers
Ranked masses in two-parameter Fleming-Viot diffusions
Noah Forman, Soumik Pal, Douglas Rizzolo +1
In previous work, we constructed Fleming--Viot-type measure-valued diffusions (and diffusions on a space of interval partitions of the unit interval ) that are stationary wi…
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 and . The construc…
Diffusions on a space of interval partitions: construction from marked Lévy processes
Noah Forman, Soumik Pal, Douglas Rizzolo +1
Consider a spectrally positive Stable() process whose jumps we interpret as lifetimes of individuals. We mark the jumps by continuous excursions assigning "sizes" varying duri…
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…
Aldous diffusion I: a projective system of continuum -tree evolutions
Noah Forman, Soumik Pal, Douglas Rizzolo +1
The Aldous diffusion is a conjectured Markov process on the space of real trees that is the continuum analogue of discrete Markov chains on binary trees. We construct this conjectu…
Interval partition evolutions with emigration related to the Aldous diffusion
Noah Forman, Soumik Pal, Douglas Rizzolo +1
We construct a stationary Markov process corresponding to the evolution of masses and distances of subtrees along the spine from the root to a branch point in a conjectured station…