Rademacher's Theorem on Configuration Spaces and Applications☆☆☆

Keywords

Mathematics, Ergodic theory, Lipschitz continuity, Metric space, Dirichlet distribution

References

• Canonical dirichlet operator and distorted brownian motion on Poisson spacesS. Albeverio, Yu. G. Kondratiev, Michael Röckner — 1996
• Weak Sobolev spaces and Markov uniqueness of operatorsAndreas Eberle — 1995
• Stochastic differential equations and diffusion processes: Nobuyuki Ikeda and Shinzo Watanabe North-Holland, Amsterdam, 1981, xiv + 464 pages, Dfl.175.00L. C. G. Rogers — 1982
• The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity = バナッハ空間上のガウス測度の非線型変換と絶対連続性の研究成雄 楠岡 — 1982
• Vorlesungen über FunktionalanalysisFrédéric Riesz, Béla Szõkefalvi-Nagy — 1982
• Dirichlet forms and diffusion processes on Banach spacesShigeo Kusuoka — 1982
• The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity (II)Shigeo Kusuoka — 1982
• Some remarks on Rademacher's theorem in infinite dimensionsВ. И. Богачев, Eddy Mayer-Wolf — 1996
• Analysis and Geometry on Configuration Spaces: The Gibbsian Case☆Sergio Albeverio, Yu. G. Kondratiev, Michael Röckner — 1998
• Unter den LindenLudo Abicht, Christa Wolf — 1975
• Über partielle und totale differenzierbarkeit von Funktionen mehrerer Variabeln und über die Transformation der DoppelintegraleHans Rademacher — 1919
• Rademacher's Theorem for Wiener FunctionalsOgnian Enchev, D. W. Stroock — 1993
• Superstable interactions in classical statistical mechanicsDavid Ruelle — 1970
• Real analysis and probabilityKenneth A. Ross, R. Ash — 1975
• Analysis and Geometry on Configuration SpacesSergio Albeverio, Yu. G. Kondratiev, Michael Röckner — 1998
• Ergodic theorems for spatial processesXuan Xanh Nguyen, Hans Zessin — 1979
• Extension of range of functionsE. J. McShane — 1934
• Differential geometry of Poisson spacesSergio Albeverio, Yu. G. Kondratiev, Michael Röckner — 1996
• The imbedding problem for Riemannian manifoldsJohn C. Nash — 1956
• ON THE GEOMETRY DEFINED BY DIRICHLET FORMSKarl‐Theodor Sturm — 1995

Cited by

• Spatial birth-and-death Markov processesViktor Bezborodov — 2014
• Geometric Analysis for Symmetric Fleming–Viot Operators: Rademacher's Theorem and Exponential FamiliesAlexander Schied — 2002
• Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spacesLuigi Ambrosio, Matthias Erbar, Giuseppe Savaré — 2015
• Construction of diffusions on configuration spacesZhi-Ming Ma, Michael Röckner — 2000
• Markov birth-and-death dynamics of populationsViktor Bezborodov — 2015
• Upper bounds on Rubinstein distances on configuration spaces and applicationsLaurent Decreusefond, Aldéric Joulin, Nicolas Savy — 2008
• Stein estimation of the intensity of a spatial homogeneous Poisson point processMarianne Clausel, Jean‐François Coeurjolly, Jérôme Lelong — 2014
• A dual characterization of length spaces with application to Dirichlet metric spacesPeter Stollmann — 2009
• Curvature bounds for configuration spacesMatthias Erbar, Martin Huesmann — 2014
• Harnack inequality on configuration spaces: The coupling approach and a unified treatmentChang‐Song Deng — 2014
• Differentiable measures and the Malliavin calculusВ. И. Богачев — 2010
• Sample Path Large Deviations for Diffusion Processes on Configuration Spaces over a Riemannian ManifoldMichael Röckner, Tusheng S. Zhang — 2004
• The Heat Semigroup on Configuration SpacesYuri Kondratiev, Eugene Lytvynov, Michael Röckner — 2002
• On the small time large deviations of diffusion processes on configuration spacesT.S. Zhang — 2001
• Wasserstein Distance on Configuration SpaceLaurent Decreusefond — 2006
• Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theoryRupert L. Frank, Daniel Lenz, Daniel Wingert — 2010
• Dirichlet spaces on H-convex sets in Wiener spaceMasanori Hino — 2011
• The maximum Markovian self-adjoint extensions of Dirichlet operators for interacting particle systemsByron Schmuland, Wei Sun — 2003
• THE LAW OF LARGE NUMBERS AND THE LAW OF THE ITERATED LOGARITHM FOR INFINITE DIMENSIONAL INTERACTING DIFFUSION PROCESSESByron Schmuland, Wei Sun — 2003
• A REMARK ON SETS IN INFINITE DIMENSIONAL SPACES WITH FULL OR ZERO CAPACITYJiagang Ren, Michael Röckner — 2005

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