24 citations · 31 across the 6 of their papers we have counts for
6 papers · 1 filter
Eigenvalue gaps for the Cauchy process and a Poincaré inequality
Rodrigo Banuelos, Tadeusz Kulczycki
A connection between the semigroup of the Cauchy process killed upon exiting a domain and a mixed boundary value problem for the Laplacian in one dimension higher known as the…
Brownian motion with killing and reflection and the "hot--spots" problem
Rodrigo Banuelos, Michael Pang, Mihai Pascu
We investigate the "hot--spots" property for the survival time probability of Brownian motion with killing and reflection in planar convex domains whose boundary consists of two cu…
Symmetric stable processes in parabola--shaped regions
Rodrigo Banuelos, Krzysztof Bogdan
We identify the critical exponent of integrability of the first exit time of rotation invariant stable Lévy process from parabola--shaped region.
The exit distribution for iterated Brownian motion in cones
Rodrigo Banuelos, Dante DeBlassie
We study the distribution of the exit place of iterated Brownian motion in a cone, obtaining information about the chance of the exit place having large magnitude. Along the way, w…
On the shape of the ground state eigenfunction for stable processes
Rodrigo Banuelos, Tadeusz Kulczycki, Pedro J. Mendez-Hernandez
We prove that the ground state eigenfunction for symmetric stable processes of order killed upon leaving the interval is concave on . We ca…
Sharp Integrability for Brownian Motion in Parabola-shaped Regions
Rodrigo Banuelos, Tom Carroll
We study the sharp order of integrability of the exit position of Brownian motion from the planar domains ${\cal P}_α= \{(x,y)\in \bR\times \bR\colon x> 0, |y| < Ax^α\}$, .…