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Analysis and Geometry of Metric Measure Spaces: Lecture Notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, 2011
About this Title
Galia Dafni, Concordia University, Montreal, QC, Canada, Robert John McCann, University of Toronto, Toronto, ON, Canada and Alina Stancu, Concordia University, Montreal, QC, Canada
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2013; Volume 56
ISBNs: 978-0-8218-9418-7 (print); 978-1-4704-1590-7 (online)
DOI: https://doi.org/10.1090/crmp/056
MathSciNet review: MR3075414
MSC: Primary 49-06; Secondary 52-06, 53-06, 58-06
Table of Contents
Front/Back Matter
Chapters
- An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below
- Analysis on the Sierpinski carpet
- Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds
- Regularity of minimal and almost minimal sets and cones: J. Taylor’s theorem for beginners
- Lectures on Ma-Trudinger-Wang curvature and regularity of optimal transport maps
- Five lectures on optimal transportation: Geometry, regularity and applications
- A proof of Bobkov’s spectral bound for convex domains via Gaussian fitting and free energy estimation
- A visual introduction to Riemannian curvatures and some discrete generalizations