Old and new challenges in Hadamard spaces

Hadamard spaces have traditionally played important roles in geometry and geometric group theory. More recently, they have additionally turned out to be a suitable framework for convex analysis, optimization and non-linear probability theory. The attractiveness of these emerging subject fields stems...

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Bibliographic Details
Published in:	Japanese journal of mathematics Vol. 18; no. 2; pp. 115 - 168
Main Author:	Bačák, Miroslav
Format:	Journal Article
Language:	English
Published:	Tokyo Springer Japan 01.09.2023 Springer Nature B.V
Subjects:	Convex analysis Geometry Gradient flow Group theory History of Mathematical Sciences Image processing Mathematics Mathematics and Statistics Metric space Optimization Phylogenetics Probability theory strongly continuous semigroup non-positive curvature submodular function convex function Mosco convergence Bi-Lipschitz embedding proximal mapping Primary 46N10, 49J53 gradient flow Hadamard space weak convergence harmonic mapping Secondary 47H20, 49M27 proximal point algorithm
ISSN:	0289-2316, 1861-3624
Online Access:	Get full text
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