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Logarithmic Sobolev inequality for diffusion semigroups
Logarithmic Sobolev inequality Poincar´ e inequality Ornstein-Uhlenbeck semigroup
2010/12/8
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalitie...
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...
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...