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20022009
most citedEfficient unidirectional nanoslit couplers for surface plasmons

506 citations

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6 papers · 1 filter

math.PR2008

Spectral representation of some non stationary alpha-stable processes

Nourddine Azzaoui

In this paper, we give a new covariation spectral representation of some non stationary symmetric -stable processes (SS). This representation is based on a weaker covariation…

math.PR2007

Transportation Cost Inequality on Path Spaces with Uniform Distance

Shizan Fang, Feng-Yu Wang, Bo Wu

Starting from a sequence of independent Wright-Fisher diffusion processes on , we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \…

math.PR2007

Malliavin calculus of Bismut type without probability

Remi Leandre

We translate in semigroup theory Bismut's way of the Malliavin calculus.

math.PR200739 cited

Global flows for stochastic differential equations without global Lipschitz conditions

Shizan Fang, Peter Imkeller, Tusheng Zhang

We consider stochastic differential equations driven by Wiener processes. The vector fields are supposed to satisfy only local Lipschitz conditions. The Lipschitz constants of the…

math.PR2003

Stochastic differential equtions with non-lipschitz coefficients:II. Dependence with respect to initial values

Shizan Fang, Tusheng Zhang

The existence of the unique strong solution for a class of stochastic differential equations with non-Lipschitz coefficients was established recently. In this paper, we shall inves…

math.PR20035 cited

Stochastic differential equations with non-lipschitz coefficients: I. Pathwise uniqueness and large deviation

Shizan Fang, Tusheng Zhang

We study a class of stochastic differential equations with non-Lipschitzian coefficients.A unique strong solution is obtained and a large deviation principle of Freidln-Wentzell ty…