15 citations · 79 across the 26 of their papers we have counts for
27 papers · 1 filter
The Oldest Allele in a Moran Model
Douglas Rizzolo, Marydol Soto-Santarriaga
We study an infinitely many neutral alleles Moran model where the allelic frequencies are recorded in increasing order of the ages of the alleles. Using this representation, we sho…
A Galton-Watson tree approach to local limits of permutations avoiding a pattern of length three
Jungeun Park, Douglas Rizzolo
We use local limits of Galton-Watson trees to establish local limit theorems for permutations conditioned to avoid a pattern of length three. In the case of 321-avoiding permutatio…
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…
Active Phase for the Stochastic Sandpile on Z
Christopher Hoffman, Yiping Hu, Jacob Richey +1
We prove that the critical value of the one-dimensional Stochastic Sandpile Model is less than one. This verifies a conjecture of Rolla and Sidoravicius.
A concentration inequality for the maximum vertex degree in random dissections
Kelvin Rivera-Lopez, Douglas Rizzolo
We obtain a concentration inequality for the maximum degree of a vertex in a uniformly random dissection of a polygon. This resolves a conjecture posed by Curien and Kortchemski in…
The leftmost column of ordered Chinese Restaurant Process up-down chains: intertwining and convergence
Kelvin Rivera-Lopez, Douglas Rizzolo
Recently there has been significant interest in constructing ordered analogues of Petrov's two-parameter extension of Ethier and Kurtz's infinitely-many-neutral-alleles diffusion m…