scholarly journals Counterexamples to Continuity of Optimal Transport Maps on Positively Curved Riemannian Manifolds

2010 ◽  
Author(s):  
Y.-H. Kim
Keyword(s):  
Riemannian Manifolds ◽  
Optimal Transport ◽  
Transport Maps ◽  
Positively Curved

scholarly journals Sharp boundary ε-regularity of optimal transport maps

2021 ◽  
Vol 381 ◽  
pp. 107603
Author(s):  
Tatsuya Miura ◽  
Felix Otto
Keyword(s):  
Optimal Transport ◽  
Sharp Boundary ◽  
Transport Maps

scholarly journals Regularity of optimal transport maps on multiple products of spheres

2013 ◽  
Vol 15 (4) ◽  
pp. 1131-1166 ◽  
Author(s):  
Alessio Figalli ◽  
Young-Heon Kim ◽  
Robert McCann
Keyword(s):  
Optimal Transport ◽  
Multiple Products ◽  
Transport Maps ◽  
Products Of Spheres

Lecture 7: The Monge-Ampére Equation and Optimal Transport on Riemannian Manifolds

2021 ◽  
pp. 65-76
Author(s):  
Luigi Ambrosio ◽  
Elia Brué ◽  
Daniele Semola
Keyword(s):  
Riemannian Manifolds ◽  
Optimal Transport ◽  
Monge Ampere

scholarly journals Parseval’s identity and optimal transport maps

2021 ◽  
Vol 170 ◽  
pp. 108989
Author(s):  
N. Ghaffari ◽  
S.G. Walker
Keyword(s):  
Optimal Transport ◽  
Transport Maps

Optimal transport maps on infinite dimensional spaces

2015 ◽  
Vol 10 (4) ◽  
pp. 715-732
Author(s):  
Shizan Fang ◽  
Vincent Nolot
Keyword(s):  
Optimal Transport ◽  
Infinite Dimensional ◽  
Transport Maps

Existence of optimal transport maps for crystalline norms

2004 ◽  
Vol 125 (2) ◽  
pp. 207-241 ◽  
Author(s):  
L. Ambrosio ◽  
B. Kirchheim ◽  
A. Pratelli
Keyword(s):  
Optimal Transport ◽  
Transport Maps

scholarly journals Partial W 2,p regularity for optimal transport maps

2017 ◽  
Vol 272 (11) ◽  
pp. 4588-4605 ◽  
Author(s):  
Shibing Chen ◽  
Alessio Figalli
Keyword(s):  
Optimal Transport ◽  
Transport Maps
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