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Measure Theory in Non-Smooth Spaces /

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...

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Bibliographic Details
Main Author: Gigli, Nicola (Author)
Corporate Author: Walter de Gruyter & Co
Format: eBook
Language:English
Language Notes:In English.
Published: Warsaw ; Berlin : De Gruyter Open, [2017]
Subjects:
Measure theory.
Metrology.
Measure Theory.
Mathematics > Algebra > General.
Théorie de la mesure.
Métrologie.
MATHEMATICS / Mathematical Analysis.
Measure theory
Metrology
Raum > Mathematik
Maßtheorie
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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 and#x221E;-Poincaré inequality and existence and#x221E;-harmonic functions
  • Scalar Curvature and Intrinsic Flat Convergence