Umbel convexity and the geometry of trees
DOI10.1016/j.aim.2023.109461arXiv2103.16011OpenAlexW4390598001MaRDI QIDQ6189376
Chris Gartland, Florent Baudier
Publication date: 8 February 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.16011
distortionHeisenberg groupsMarkov convexitynonlinear quotientscompression rate of treesRolewicz's property \(( \beta )\)umbel convexity
Infinite graphs (05C63) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Asymptotic theory of Banach spaces (46B06) Lipschitz and coarse geometry of metric spaces (51F30) Metric embeddings as related to computational problems and algorithms (68R12)
Cites Work
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- Vertical versus horizontal Poincaré inequalities on the Heisenberg group
- Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs
- Coarse quotient mappings between metric spaces
- Equivalent norms with the property \((\beta)\) of Rolewicz
- Markov convexity and nonembeddability of the Heisenberg group
- Curvature bounded below: a definition a la Berg-Nikolaev
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Quantitative property A, Poincaré inequalities, \(L^p\)-compression and \(L^p\)-distortion for metric measure spaces
- The metrical interpretation of superreflexivity in Banach spaces
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Type, infratype and the Elton-Pajor theorem
- \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces
- On uniformly homeomorphic normed spaces
- Martingales with values in uniformly convex spaces
- On asymptotic structure, the Szlenk index and UKK properties in Banach spaces
- Sharp uniform convexity and smoothness inequalities for trace norms
- Girth and Euclidean distortion
- Type and infratype in symmetric sequence spaces
- On the nonexistence of bilipschitz parameterizations and geometric problems about \(A_ \infty\)-weights
- Markov convexity and local rigidity of distorted metrics
- Property \((\beta)\) and uniform quotient maps
- An introduction to the Ribe program
- Examples of uniformly homeomorphic Banach spaces
- On embedding trees into uniformly convex Banach spaces
- Affine approximation of Lipschitz functions and nonlinear quotients
- On the embeddability of the family of countably branching trees into quasi-reflexive Banach spaces
- On the geometry of the countably branching diamond graphs
- Averaged norms
- Banach spaces which can be given an equivalent uniformly convex norm
- The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map
- (β)-distortion of some infinite graphs
- On metric characterizations of the Radon–Nikodým and related properties of Banach spaces
- Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets
- Asymptotic geometry of Banach spaces and uniform quotient maps
- Low Distortion Delaunay Embedding of Trees in Hyperbolic Plane
- A NEW COARSELY RIGID CLASS OF BANACH SPACES
- Metric Dichotomies
- A new metric invariant for Banach spaces
- On ∆-uniform convexity and drop property
- Banach-Saks properties and spreading models.
- On the moduli of convexity and smoothness
- Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
- Distortion of embeddings of binary trees into diamond graphs
- The coarse geometry of Tsirelson’s space and applications
- On Type of Metric Spaces
- A submetric characterization of Rolewicz’s property $(\beta )$
- Metric characterizations of super weakly compact operators
- A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space
- Trees and Markov convexity
- Trees and Markov convexity
- Metric cotype
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