The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces 1

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

Name: The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Price: 1439 SEK
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Author: Karl-Theodor Sturm
ISBN: 9781470466961

Karl-Theodor Sturm

Pocket

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111 sidor
2024

Equipped with the L2,q-distortion distance 𝚫2,q, the space 𝕏2,q of all metric measure spaces (X, , 𝔪) is proven to have nonnegative curvature in the sense of Alexandrov. Geodesics and tangent spaces are characterized in detail. Moreover, classes of semiconvex functionals and their gradient flows on 𝕏2,q are presented.

Författare: Karl-Theodor Sturm
Format: Pocket/Paperback
ISBN: 9781470466961
Språk: Engelska
Antal sidor: 111
Utgivningsdatum: 2024-01-31
Förlag: American Mathematical Society