15 citations · 79 across the 26 of their papers we have counts for
4 papers · 2 filters
Scaling limits of permutations avoiding long decreasing sequences
Christopher Hoffman, Douglas Rizzolo, Erik Slivken
We determine the scaling limit for permutations conditioned to have longest decreasing subsequence of length at most . These permutations are also said to avoid the pattern $(d+…
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…