5 papers · 2 filters
CLT with explicit variance for products of random singular matrices related to Hill's equation
Phanuel Mariano, Hugo Panzo
We prove a central limit theorem (CLT) for the product of a class of random singular matrices related to a random Hill's equation studied by Adams$\unicode{x2013}$Bloch$\unicode{x2…
Independent factorization of the last zero arcsine law for Bessel processes with drift
Hugo Panzo
We show that the last zero before time of a recurrent Bessel process with drift starting at has the same distribution as the product of an independent right censored expone…
Quasi-Stationary Distributions for the Voter Model on Complete Bipartite Graphs
Iddo Ben-Ari, Hugo Panzo, Philip Speegle +1
We consider the discrete-time voter model on complete bipartite graphs and study the quasi-stationary distribution (QSD) for the model as the size of one of the partitions tends to…
Conformal Skorokhod embeddings and related extremal problems
Phanuel Mariano, Hugo Panzo
The conformal Skorokhod embedding problem (CSEP) is a planar variant of the classical problem where the solution is now a simply connected domain whose exit ti…
Spectral upper bound for the torsion function of symmetric stable processes
Hugo Panzo
We prove a spectral upper bound for the torsion function of symmetric stable processes that holds for convex domains in . Our bound is explicit and captures the corre…