2 citations · 2 across the 7 of their papers we have counts for
8 papers
Symmetrization of Lévy processes and applications
Rodrigo Banuelos, Pedro J. Mendez-Hernandez
It is shown that many of the classical generalized isoperimetric inequalities for the Laplacian when viewed in terms of Brownian motion extend to a wide class of Levy processes. Th…
Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations
Pedro J. Mendez-Hernandez, Minoru Murata
We consider nonnegative solutions of a parabolic equation in a cylinder $D \timesI$, where is a noncompact domain of a Riemannian manifold and with $0 < T \le \infty…
On dynamical bit sequences
Davar Khoshnevisan, David A. Levin, Pedro J. Mendez-Hernandez
Let X^{(k)}(t) = (X_1(t), ..., X_k(t)) denote a k-vector of i.i.d. random variables, each taking the values 1 or 0 with respective probabilities p and 1-p. As a process indexed by…
Capacities in Wiener Space, Quasi-Sure Lower Functions, and Kolmogorov's Epsilon-Entropy
Davar Khoshnevisan, David A. Levin, Pedro J. Mendez-Hernandez
We propose a set-indexed family of capacities on the classical Wiener space . This family interpolates between the Wiener measure ($\cap_{…
Exceptional Times and Invariance for Dynamical Random Walks
Davar Khoshnevisan, David A. Levin, Pedro J. Mendez-Hernandez
Consider a sequence {X(i,0) : i = 1, ..., n} of i.i.d. random variables. Associate to each X(i,0) an independent mean-one Poisson clock. Every time a clock rings replace that X-var…
α-Continuity Properties of Stable Processes
R. D. DeBlassie, Pedro J. Mendez-Hernandez
Let be a domain of finite Lebesgue measure in $\bR^d$ and let be the symmetric -stable process killed upon exiting . Each element of the set $\{λ_i^α\}_{i=1}^\inf…