scholarly journals Almost bi–Lipschitz embeddings using covers of balls centred at the origin

2021 ◽  
Vol 494 (1) ◽  
pp. 124447
Author(s):  
Alexandros Margaris
Keyword(s):  
Lipschitz Embeddings

scholarly journals Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces

2020 ◽  
Vol 45 (2) ◽  
pp. 931-955
Author(s):  
Vasileios Chousionis ◽  
Sean Li ◽  
Vyron Vellis ◽  
Scott Zimmerman
Keyword(s):  
Euclidean Spaces ◽  
Lipschitz Embeddings

ON ASYMPTOTIC UNIFORM SMOOTHNESS AND NONLINEAR GEOMETRY OF BANACH SPACES

2019 ◽  
pp. 1-38
Author(s):  
B. M. Braga
Keyword(s):  
Banach Spaces ◽  
Open Problem ◽  
Concentration Inequalities ◽  
Uniformly Smooth ◽  
Uniform Smoothness ◽  
Weakly Sequentially Continuous ◽  
Nonlinear Geometry ◽  
Lipschitz Embeddings ◽  
Uniformly Smooth Banach Spaces ◽  
Descriptive Set

These notes concern the nonlinear geometry of Banach spaces, asymptotic uniform smoothness and several Banach–Saks-like properties. We study the existence of certain concentration inequalities in asymptotically uniformly smooth Banach spaces as well as weakly sequentially continuous coarse (Lipschitz) embeddings into those spaces. Some results concerning the descriptive set theoretical complexity of those properties are also obtained. We finish the paper with a list of open problem.

scholarly journals QUASI-MORPHISMS AND Lp-METRICS ON GROUPS OF VOLUME-PRESERVING DIFFEOMORPHISMS

2012 ◽  
Vol 04 (02) ◽  
pp. 255-270 ◽  
Author(s):  
MICHAEL BRANDENBURSKY
Keyword(s):  
Fundamental Group ◽  
Vector Spaces ◽  
Dimensional Vector ◽  
Volume Form ◽  
Oriented Manifold ◽  
Identity Component ◽  
Finite Dimensional ◽  
Lipschitz Embeddings ◽  
Volume Preserving

Let M be a smooth compact connected oriented manifold of dimension at least two endowed with a volume form μ. We show that every homogeneous quasi-morphism on the identity component Diff 0(M, μ) of the group of volume-preserving diffeomorphisms of M, which is induced by a quasi-morphism on the fundamental group π1(M), is Lipschitz with respect to the Lp-metric on Diff 0(M, μ). As a consequence, assuming certain conditions on π1(M), we construct bi-Lipschitz embeddings of finite dimensional vector spaces into Diff 0(M, μ).

scholarly journals Lipschitz embeddings of random fields

2018 ◽  
Vol 172 (3-4) ◽  
pp. 1121-1179 ◽  
Author(s):  
Riddhipratim Basu ◽  
Vladas Sidoravicius ◽  
Allan Sly
Keyword(s):  
Random Fields ◽  
Lipschitz Embeddings

scholarly journals Lipschitz embeddings of random sequences

2013 ◽  
Vol 159 (3-4) ◽  
pp. 721-775 ◽  
Author(s):  
Riddhipratim Basu ◽  
Allan Sly
Keyword(s):  
Random Sequences ◽  
Lipschitz Embeddings

scholarly journals Almost bi-Lipschitz embeddings and almost homogeneous sets

2009 ◽  
Vol 362 (01) ◽  
pp. 145-168 ◽  
Author(s):  
Eric J. Olson ◽  
James C. Robinson
Keyword(s):  
Lipschitz Embeddings
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