2 citations · 4 across the 14 of their papers we have counts for
17 papers
Large time behavior of Lévy processes and their nonlocal Schrödinger semigroups
Mateusz Kwaśnicki, Phanuel Mariano, Hugo Panzo +1
We study the large time asymptotics of the Feynman-Kac semigroups of the symmetric Lévy process on unbounded open sets. Our main result proves the exact exponential asymptotic deca…
Improved bounds on the inradius and inverse inradius process of the convex hull of planar Brownian motion
David Kramer-Bang, Hugo Panzo, Stjepan Šebek
We study the inradius and inverse inradius of the convex hull of standard planar Brownian motion. Our main goals are to improve the existing bounds on the expected values of these…
Bounds on some geometric functionals of high dimensional Brownian convex hulls and their inverse processes
Hugo Panzo, Evan Socher
We prove two-sided bounds on the expected values of several geometric functionals of the convex hull of Brownian motion in and their inverse processes. This extends…
Bounds on the size of the convex hull of planar Brownian motion and related inverse processes
Wojciech Cygan, Hugo Panzo, Stjepan Šebek
We establish bounds on expected values of various geometric quantities that describe the size of the convex hull spanned by a path of the standard planar Brownian motion. Expected…
Improved upper bounds for the Hot Spots constant of Lipschitz domains
Phanuel Mariano, Hugo Panzo, Jing Wang
The Hot Spots constant for bounded smooth domains was recently introduced by Steinerberger (2021) as a means to control the global extrema of the first nontrivial eigenfunction of…
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…
Finite-Memory Elephant Random Walk and the Central Limit Theorem for Additive Functionals
Iddo Ben-Ari, Jonah Green, Taylor Meredith +2
The Central Limit Theorem (CLT) for additive functionals of Markov chains is a well known result with a long history. In this paper we present applications to two finite-memory ver…
Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences
Rajeshwari Majumdar, Phanuel Mariano, Hugo Panzo +2
We consider three matrix models of order 2 with one random entry and the other three entries being deterministic. In the first model, we let $ε\sim\textrm{Bernoulli}\left(\frac…
The subcritical phase for a homopolymer model
Iddo Ben-Ari, Hugo Panzo
We study a model of continuous-time nearest-neighbor random walk on penalized by its occupation time at the origin, also known as a homopolymer. For a fixed real par…
Scaled penalization of Brownian motion with drift and the Brownian ascent
Hugo Panzo
We study a scaled version of a two-parameter Brownian penalization model introduced by Roynette-Vallois-Yor in arXiv:math/0511102. The original model penalizes Brownian motion with…
Dual graphs and modified Barlow--Bass resistance estimates for repeated barycentric subdivisions
Daniel J. Kelleher, Antoni Brzoska, Hugo Panzo +1
We prove Barlow--Bass type resistance estimates for two random walks associated with repeated barycentric subdivisions of a triangle. If the random walk jumps between the centers o…
Efficient Coupling for Random Walk with Redistribution
Iddo Ben-Ari, Hugo Panzo, Elizabeth Tripp
What can one say on convergence to stationarity of a finite state Markov chain that behaves "locally" like a nearest neighbor random walk on ? The model we consider i…
Random walks on barycentric subdivisions and the Strichartz hexacarpet
Matthew Begue, Daniel J. Kelleher, Aaron Nelson +3
We investigate the relation between simple random walks on repeated barycentric subdivisions of a triangle and a self-similar fractal, Strichartz hexacarpet, which we introduce. We…