Measure Theory in Non-Smooth Spaces /
Gigli, Nicola,
Measure Theory in Non-Smooth Spaces / Nicola Gigli. - 1 online resource.
Frontmatter -- Contents -- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below -- Surface measures in infinite-dimensional spaces -- An Overview of L1 optimal transportation on metric measure spaces -- On a conjecture of Cheeger -- The magnitude of a metric space: from category theory to geometric measure theory -- On the convexity of the entropy along entropic interpolations -- Brief survey ∞-Poincarâe inequality and existence ∞-harmonic functions -- Scalar Curvature and Intrinsic Flat Convergence
Analysis 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 Lâeonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani.
In English.
3110550830 9783110550825 3110550822 9783110550832
10.1515/9783110550832 doi 9783110550825
00017647
Measure theory.
Metrology.
Measure Theory.
Mathematics--Algebra--General.
MATHEMATICS / Mathematical Analysis.
Measure theory.
Metrology.
Raum
MaÇtheorie
Electronic book.
Electronic books.
510
Measure Theory in Non-Smooth Spaces / Nicola Gigli. - 1 online resource.
Frontmatter -- Contents -- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below -- Surface measures in infinite-dimensional spaces -- An Overview of L1 optimal transportation on metric measure spaces -- On a conjecture of Cheeger -- The magnitude of a metric space: from category theory to geometric measure theory -- On the convexity of the entropy along entropic interpolations -- Brief survey ∞-Poincarâe inequality and existence ∞-harmonic functions -- Scalar Curvature and Intrinsic Flat Convergence
Analysis 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 Lâeonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani.
In English.
3110550830 9783110550825 3110550822 9783110550832
10.1515/9783110550832 doi 9783110550825
00017647
Measure theory.
Metrology.
Measure Theory.
Mathematics--Algebra--General.
MATHEMATICS / Mathematical Analysis.
Measure theory.
Metrology.
Raum
MaÇtheorie
Electronic book.
Electronic books.
510