5 papers · 1 filter
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…
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…
On Dynamical Gaussian Random Walks
D. Khoshnevisan, D. A. Levin, P. J. Mendez-Hernandez
Motivated by the recent work of Benjamini, Haggstrom, Peres, and Steif (2003) on dynamical random walks, we: Prove that, after a suitable normalization, the dynamical Gaussian walk…