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We study enhancement of di®usive mixing on a compact Riemannian manifold by a fast incompressible °ow. Our main result is a sharp description of the class of °ows that make the deviation of the s...
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...