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Second Order Analysis On P2mw2 Nicola Gigli

Name: Second Order Analysis On P2mw2 Nicola Gigli
SKU: BELL-5250968
Price: 31.00 USD
Availability: InStock
Rating: 4.1 (90 reviews)

SKU: BELL-5250968

$ 31.00 ~~$ 45.00~~ (-31%)

4.1

90 reviews

Second Order Analysis On P2mw2 Nicola Gigli instant download after payment.

Publisher: Amer Mathematical Society

File Extension: PDF

File size: 1.28 MB

Pages: 173

Author: Nicola Gigli

ISBN: 9780821853092, 0821853090

Language: English

Year: 2012

Product desciption

Second Order Analysis On P2mw2 Nicola Gigli by Nicola Gigli 9780821853092, 0821853090 instant download after payment.

The author develops a rigorous second order analysis on the space of probability measures on a Riemannian manifold endowed with the quadratic optimal transport distance $W_2$. The discussion includes: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Jacobi fields. This approach does not require any smoothness assumption on the measures considered