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We prove an almost sure weak limit theorem for simple linear rank statistics for samples with continuous distributions functions. As a corollary the result extends to samples with ties, and the vector...
A logarithmic Sobolev inequality for one-dimensional multivalued stochastic differential equations
A logarithmic Sobolev inequality one-dimensional multivalued stochastic differential equations
2009/9/21
We establish a logarithmic Sobolev inequality for a one-
-dimensional multivalued stochastic differential equation associated with
the subdillerential of a convex lower semicontinuous function, usin...
Confidence bands for densities, logarithmic point of view
Density Kernel estimator Asymptotic logarithmic level Asymptotic almost sure condence regions Moderate deviations principles
2009/6/12
Confidence bands for densities, logarithmic point of view.
Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces
Martingale Representation Logarithmic Sobolev Inequality Hypercontractivity PathSpace
2009/5/8
We show how the Clark-Ocone-Haussmann formula for Brownian motion on a compact Riemannian manifold put forward by S. Fang in his proof of the spectral gap inequality for the Ornstein-Uhlenbeck operato...
Logarithmic Sobolev Inequality for Zero——Range Dynamics：Independence of the Number of Particles
Logarithmic Sobolev Inequality Zero Range Dynamics
2009/4/8
We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L may depend on L but not on the number of particles. This is a first, but relevant and quite technical ste...