scholarly journals Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature

2020 ◽  
Vol 53 (3) ◽  
pp. 1123-1144
Author(s):  
Feng-Yu Wang
Keyword(s):  
Negative Curvature ◽  
Wasserstein Distances

scholarly journals Hyperbolic Center of Mass for a System of Particles in a Two-Dimensional Space with Constant Negative Curvature: An Application to the Curved 2-Body Problem

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 531
Author(s):  
Pedro Pablo Ortega Palencia ◽  
Ruben Dario Ortiz Ortiz ◽  
Ana Magnolia Marin Ramirez
Keyword(s):  
Negative Curvature ◽  
Dimensional Space ◽  
Center Of Mass ◽  
Simple Expression ◽  
Two Dimensional ◽  
Constant Negative Curvature ◽  
Euclidean Case ◽  
System Of Particles ◽  
Material Points ◽  
The One

In this article, a simple expression for the center of mass of a system of material points in a two-dimensional surface of Gaussian constant negative curvature is given. By using the basic techniques of geometry, we obtained an expression in intrinsic coordinates, and we showed how this extends the definition for the Euclidean case. The argument is constructive and serves to define the center of mass of a system of particles on the one-dimensional hyperbolic sphere LR1.

scholarly journals Asymptotics of Smoothed Wasserstein Distances

2021 ◽  
Author(s):  
Hong-Bin Chen ◽  
Jonathan Niles-Weed
Keyword(s):  
Wasserstein Distances

Manifolds with wells of negative curvature

1991 ◽  
Vol 103 (1) ◽  
pp. 471-495 ◽  
Author(s):  
K. D. Elworthy ◽  
Steven Rosenberg
Keyword(s):  
Negative Curvature

scholarly journals A Geometric Study of Wasserstein Spaces: Isometric Rigidity in Negative Curvature

2015 ◽  
Vol 2016 (5) ◽  
pp. 1368-1386 ◽  
Author(s):  
Jérôme Bertrand ◽  
Benoît R. Kloeckner
Keyword(s):  
Negative Curvature ◽  
Geometric Study

Negative Curvature Hollow-Core Fibers (NCHCFs) for Mid-IR Applications

2014 ◽  
Author(s):  
Alexey F. Kosolapov ◽  
Andrey D. Pryamikov ◽  
Grigory K. Alagashev ◽  
Anton N. Kolyadin ◽  
Alexander S. Biriukov ◽  
...  
Keyword(s):  
Negative Curvature ◽  
Hollow Core
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