99 citations · 217 across the 27 of their papers we have counts for
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math.PR2004★ 5 cited
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…
math.PR2004
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…