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- University of Maryland, College ParkUS45 papers
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20 papers · 1 filter
Riesz transform and Riesz potentials for Dunkl transform
Sundaram Thangavelu, Yuan Xu
Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflect…
Elasticity, fluctuations and vortex pinning in ferromagnetic superconductors: A "columnar elastic glass"
A. M. Ettouhami, Karl Saunders, L. Radzihovsky +1
We study the elasticity, fluctuations and pinning of a putative spontaneous vortex solid in ferromagnetic superconductors. Using a rigorous thermodynamic argument, we show that in…
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.
Normal approximation under local dependence
Louis H. Y. Chen, Qi-Man Shao
We establish both uniform and nonuniform error bounds of the Berry-Esseen type in normal approximation under local dependence. These results are of an order close to the best possi…
Furstenberg transformations on irrational rotation algebras
Hiroyuki Osaka, N. Christopher Phillips
We introduce a general class of automorphisms of rotation algebras, the noncommutative Furstenberg transformations. We prove that fully irrational noncommutative Furstenberg transf…
Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
Hiroyuki Osaka, N. Christopher Phillips
We introduce the tracial Rokhlin property for automorphisms of stably finite simple unital C*-algebras containing enough projections. This property is formally weaker than the vari…