04577nam 22006855 450 991022001420332120230809225533.010.1515/9783110550832(CKB)3800000000216575(DE-B1597)482663(OCoLC)1002222241(OCoLC)1004881424(OCoLC)1011461581(OCoLC)1013956083(DE-B1597)9783110550832(MiAaPQ)EBC5494949(Au-PeEL)EBL5494949(OCoLC)1088313218(EXLCZ)99380000000021657520190615d2017 fg engur|||||||||||txtrdacontentcrdamediacrrdacarrierMeasure Theory in Non-Smooth Spaces /Nicola GigliWarsaw ;Berlin : De Gruyter Open Poland, [2017]©20171 online resource3-11-055082-2 3-11-055083-0 Frontmatter -- Contents -- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below / Ambrosio, Luigi / Honda, Shouhei -- Surface measures in infinite-dimensional spaces / Bogachev, Vladimir I. -- An Overview of L1 optimal transportation on metric measure spaces / Cavalletti, Fabio -- On a conjecture of Cheeger / De Philippis, Guido / Marchese, Andrea / Rindler, Filip -- The magnitude of a metric space: from category theory to geometric measure theory / Leinster, Tom / Meckes, Mark W. -- On the convexity of the entropy along entropic interpolations / Léonard, Christian -- Brief survey ∞-Poincaré inequality and existence ∞-harmonic functions / Shanmugalingam, Nageswari -- Metric measure limits of spheres and complex projective spaces / Shioya, Takashi -- Scalar Curvature and Intrinsic Flat Convergence / Sormani, ChristinaAnalysis in singular spaces is becoming an increasingly important area of research, with motivation coming from the calculus of variations, PDEs, geometric analysis, metric geometry and probability theory, just to mention a few areas. In all these fields, the role of measure theory is crucial and an appropriate understanding of the interaction between the relevant measure-theoretic framework and the objects under investigation is important to a successful research.The aim of this book, which gathers contributions from leading specialists with different backgrounds, is that of creating a collection of various aspects of measure theory occurring in recent research with the hope of increasing interactions between different fields. List of contributors: Luigi Ambrosio, Vladimir I. Bogachev, Fabio Cavalletti, Guido De Philippis, Shouhei Honda, Tom Leinster, Christian Léonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani.(DE-601)105750743(DE-588)4124030-3RaumMathematikgnd(DE-601)106088890(DE-588)4074626-4MaßtheoriegndMATHEMATICS / Mathematical AnalysisbisacshRaumMaßtheorieMATHEMATICS / Mathematical Analysis.510Gigli Nicola, 227784Marchese Andrea, ctbhttps://id.loc.gov/vocabulary/relators/ctbLéonard Christian, ctbhttps://id.loc.gov/vocabulary/relators/ctbSormani Christina, ctbhttps://id.loc.gov/vocabulary/relators/ctbCavalletti Fabio, ctbhttps://id.loc.gov/vocabulary/relators/ctbRindler Filip, ctbhttps://id.loc.gov/vocabulary/relators/ctbDe Philippis Guido, ctbhttps://id.loc.gov/vocabulary/relators/ctbAmbrosio Luigi, ctbhttps://id.loc.gov/vocabulary/relators/ctbMeckes Mark W., ctbhttps://id.loc.gov/vocabulary/relators/ctbShanmugalingam Nageswari, ctbhttps://id.loc.gov/vocabulary/relators/ctbHonda Shouhei, ctbhttps://id.loc.gov/vocabulary/relators/ctbShioya Takashi, ctbhttps://id.loc.gov/vocabulary/relators/ctbLeinster Tom, ctbhttps://id.loc.gov/vocabulary/relators/ctbBogachev Vladimir I., ctbhttps://id.loc.gov/vocabulary/relators/ctbDE-B1597DE-B1597BOOK9910220014203321Measure Theory in Non-Smooth Spaces2292938UNINA