577 citations
- D. Khoshnevisan11 · h 34
- E. Mishchenko2 profiles9 · h 14
- Hal Daumé9
- M. Raikh2 profiles8 · h 16
- Christopher D. Hacon3 profiles6 · h 32
- J. Holder3 profiles6 · h 53
- M. Bestvina6 · h 40
- Paolo Gondolo6
- D. Toussaint3 profiles5 · h 51
- K. Martens3 profiles5 · h 30
- L. Levkova2 profiles5 · h 38
- P. Sokolsky3 profiles5 · h 49
- University of California, Santa BarbaraUS11 papers
- Indiana University BloomingtonUS8 papers
- University of ArizonaUS8 papers
- Washington University in St. LouisUS7 papers
- American Physical SocietyUS6 papers
- Columbia UniversityUS6 papers
- Institute of MathematicsPL6 papers
- Massachusetts Institute of TechnologyUS6 papers
- Purdue University West LafayetteUS6 papers
- University of California, Santa CruzUS6 papers
- University of MichiganUS6 papers
- Fermi National Accelerator LaboratoryUS5 papers
5 papers · 2 filters
An Extreme-Value Analysis of the LIL for Brownian Motion
Davar Khoshnevisan, David A. Levin, Zhan Shi
We present an extreme-value analysis of the classical law of the iterated logarithm (LIL) for Brownian motion. Our result can be viewed as a new improvement to the LIL.
Images of the Brownian Sheet
Davar Khoshnevisan, Yimin Xiao
An N-parameter Brownian sheet in R^d maps a non-random compact set F in R^N_+ to the random compact set B(F) in \R^d. We prove two results on the image-set B(F): (1) It has positiv…
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…
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…
Levy processes: Capacity and Hausdorff dimension
Davar Khoshnevisan, Yimin Xiao
We use the recently-developed multiparameter theory of additive Levy processes to establish novel connections between an arbitrary Levy process in , and a new cla…