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Analysis and Geometry of Metric Measure Spaces: Lecture Notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, 2011
Galia Dafni, Concordia University, Montreal, QC, Canada, Robert John McCann, University of Toronto, ON, Canada, and Alina Stancu, Concordia University, Montreal, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques.
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CRM Proceedings & Lecture Notes
2013; 220 pp; softcover
Volume: 56
ISBN-10: 0-8218-9418-8
ISBN-13: 978-0-8218-9418-7
List Price: US$99
Member Price: US$79.20
Order Code: CRMP/56
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See also:

A Course in Metric Geometry - Dmitri Burago, Yuri Burago and Sergei Ivanov

Systolic Geometry and Topology - Mikhail G Katz

This book contains lecture notes from most of the courses presented at the 50th anniversary edition of the Séminaire de Mathématiques Supérieures in Montréal. This 2011 summer school was devoted to the analysis and geometry of metric measure spaces, and featured much interplay between this subject and the emergent topic of optimal transportation. In recent decades, metric measure spaces have emerged as a fruitful source of mathematical questions in their own right, and as indispensable tools for addressing classical problems in geometry, topology, dynamical systems, and partial differential equations. The summer school was designed to lead young scientists to the research frontier concerning the analysis and geometry of metric measure spaces, by exposing them to a series of minicourses featuring leading researchers who highlighted both the state-of-the-art and some of the exciting challenges which remain.

This volume attempts to capture the excitement of the summer school itself, presenting the reader with glimpses into this active area of research and its connections with other branches of contemporary mathematics.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students and research mathematicians interested in metric measure spaces and optimal transportation.

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