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Seminar on Stochastic Analysis, Random Fields and Applications VIFunctional Inequalities for the Wasserstein Dirichlet Form

Seminar on Stochastic Analysis, Random Fields and Applications VI: Functional Inequalities for... [We give an alternative representation of the Wasserstein Dirichlet form that was introduced by von Renesse and Sturm in [7]. Based on this alternative representation we improve and generalize the Poincaré and logarithmic Sobolev inequality obtained for the Wasserstein Dirichlet form in [3]. A simple two-dimensional generalization of the Wasserstein Dirichlet form is investigated. The associated process can be interpreted as the projective limit of reflecting lines diffusions.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Seminar on Stochastic Analysis, Random Fields and Applications VIFunctional Inequalities for the Wasserstein Dirichlet Form

Part of the Progress in Probability Book Series (volume 63)
Editors: Dalang, Robert; Dozzi, Marco; Russo, Francesco

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References (8)

Publisher
Springer Basel
Copyright
© Springer Basel AG 2011
ISBN
978-3-0348-0020-4
Pages
245 –260
DOI
10.1007/978-3-0348-0021-1_16
Publisher site
See Chapter on Publisher Site

Abstract

[We give an alternative representation of the Wasserstein Dirichlet form that was introduced by von Renesse and Sturm in [7]. Based on this alternative representation we improve and generalize the Poincaré and logarithmic Sobolev inequality obtained for the Wasserstein Dirichlet form in [3]. A simple two-dimensional generalization of the Wasserstein Dirichlet form is investigated. The associated process can be interpreted as the projective limit of reflecting lines diffusions.]

Published: Feb 4, 2011

Keywords: Wasserstein diffusion; logarithmic Sobolev inequality; reflecting lines diffusion

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