Search results for "Quasi-invariant flow"

showing 2 items of 2 documents

Transportation-cost inequality on path spaces with uniform distance

2008

Abstract Let M be a complete Riemannian manifold and μ the distribution of the diffusion process generated by 1 2 ( Δ + Z ) where Z is a C 1 -vector field. When Ric − ∇ Z is bounded below and Z has, for instance, linear growth, the transportation-cost inequality with respect to the uniform distance is established for μ on the path space over M . A simple example is given to show the optimality of the condition.

Path (topology)Statistics and ProbabilityTransportation-cost inequalityPath spaceApplied MathematicsMathematical analysisRiemannian manifoldManifoldUniform distanceQuasi-invariant flowDistribution functionModeling and SimulationBounded functionModelling and SimulationVector fieldMathematics::Differential GeometryInvariant (mathematics)Damped gradientDistribution (differential geometry)MathematicsStochastic Processes and their Applications
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Transport equations and quasi-invariant flows on the Wiener space

2010

Abstract We shall investigate on vector fields of low regularity on the Wiener space, with divergence having low exponential integrability. We prove that the vector field generates a flow of quasi-invariant measurable maps with density belonging to the space L log L . An explicit expression for the density is also given.

Mathematics(all)General MathematicsMathematical analysisIntegral representation theorem for classical Wiener spaceMalliavin calculusDensity estimationSpace (mathematics)Quasi-invariant flowsDivergenceCommutator estimateFlow (mathematics)Transport equationsWiener spaceClassical Wiener spaceVector fieldInvariant (mathematics)MathematicsBulletin des Sciences Mathématiques
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