Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory. The new wave began with seminal papers by Svarc and Milnor o
Metric Structures for Riemannian and Non-Riemannian Spaces
✍ Scribed by Mikhail Gromov, Jacques LaFontaine, Pierre Pansu, S. M. Bates, M. Katz, P. Pansu, S. Semmes
- Book ID
- 127418795
- Publisher
- Birkhäuser Boston
- Year
- 2006
- Tongue
- English
- Weight
- 3 MB
- Series
- Progress in Mathematics
- Edition
- Corrected
- Category
- Library
- ISBN
- 3764338989
- ASIN
- B0006RVQMI
No coin nor oath required. For personal study only.
✦ Synopsis
This book explores exciting new connections between geometry and probability theory, as well as their links to analysis. This well-written book includes numerous illustrations and examples and will serve as a valuable resource for geometers, analysts, and probabilists.
📜 SIMILAR VOLUMES
## Abstract We introduce uniform structures of proper metric spaces and open Riemannian manifolds, characterize their (arc) components, present new invariants like e.g. Lipschitz and Gromov–Hausdorff cohomology, specialize to uniform triangulations of manifolds and prove that the presence of a spec