The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces

The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Author: Karl-Theodor Sturm
Publisher: American Mathematical Society
Total Pages: 124
Release: 2023-11-27
Genre: Mathematics
ISBN: 1470466961

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The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Language: en
Pages: 124
Authors: Karl-Theodor Sturm
Categories: Mathematics
Type: BOOK - Published: 2023-11-27 - Publisher: American Mathematical Society

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Gradient Flows
Language: en
Pages: 333
Authors: Luigi Ambrosio
Categories: Mathematics
Type: BOOK - Published: 2008-10-29 - Publisher: Springer Science & Business Media

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The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability meas
Alexandrov Geometry
Language: en
Pages: 303
Authors: Stephanie Alexander
Categories: Mathematics
Type: BOOK - Published: 2024-05-24 - Publisher: American Mathematical Society

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Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the sig
Gradient Flows
Language: en
Pages: 330
Authors: Luigi Ambrosio
Categories: Mathematics
Type: BOOK - Published: 2006-03-30 - Publisher: Springer Science & Business Media

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This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of tw
Modern Approaches to Discrete Curvature
Language: en
Pages: 378
Authors: Laurent Najman
Categories: Mathematics
Type: BOOK - Published: 2017-10-04 - Publisher: Springer

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This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probabilit