Franklin

Measure Theory in Non-Smooth Spaces / Nicola Gigli.

Author/Creator:
Gigli, Nicola, author.
Publication:
Warsaw ; Berlin : De Gruyter Open Poland, [2017]
Format/Description:
Book
1 online resource
Language:
In English.
Summary:
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 Léonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani.
Contents:
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, Christina
Notes:
Description based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019)
ISBN:
9783110550832
OCLC:
1002222241
Publisher Number:
10.1515/9783110550832 doi
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