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Equivalent Semigroup Properties for Curvature-Dimension Condition
Equivalent Semigroup Properties Curvature-Dimension Condition
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2015/3/24
Equivalent Semigroup Properties for Curvature-Dimension Condition.
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Ricci curvature metric measure spaces branching metric spaces Differential Geometry
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2012/3/1
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
Equivalent Semigroup Properties for Curvature-Dimension Condition
Curvature-dimension condition gradient inequality Harnack inequality
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2011/2/28
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As ap-plications, the first eigenvalue, the ...