3 papers
math.PR2022
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…
math.PR2021
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…
math.PR2020
Diffusive limits of two-parameter ordered Chinese Restaurant Process up-down chains
Kelvin Rivera-Lopez, Douglas Rizzolo
We construct a two-parameter family of Feller diffusions on the set of open subsets of that arise as diffusive limits of two-parameter ordered Chinese Restaurant Process up…