An average John theorem
From MaRDI portal
Publication:2048458
DOI10.2140/gt.2021.25.1631zbMath1481.46016arXiv1905.01280OpenAlexW2942563862MaRDI QIDQ2048458
Publication date: 6 August 2021
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01280
dimension reductionexpander graphsRibe programcomplex interpolation spacesMarkov typemetric embeddingsultraproducts of Banach spacesnonlinear spectral gaps
Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Geometric embeddings of metric spaces (30L05) Lipschitz and coarse geometry of metric spaces (51F30) Metric embeddings as related to computational problems and algorithms (68R12)
Related Items
On quantitative sphere equivalence and extrapolation phenomenon ⋮ The Andoni–Krauthgamer–Razenshteyn Characterization of Sketchable Norms Fails for Sketchable Metrics
Cites Work
- Uniformly Convex Spaces
- Metric Spaces and Positive Definite Functions
- Methods of Geometric Analysis in Extension and Trace Problems
- Advances in metric embedding theory
- Expanders with respect to Hadamard spaces and random graphs
- Metric cotype
- Uniform nonextendability from nets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete Riesz transforms and sharp metric \(X_p\) inequalities
- CAT(0) spaces and expanders.
- Diameters, distortion, and eigenvalues
- On the distribution of distances in homogeneous compact metric spaces
- On the uniform convexity of \(L^p\) and \(l^p\)
- The nonlinear geometry of Banach spaces
- A reinforcement of property (T)
- On average distortion of embedding metrics into the line
- The Euclidean distortion of the lamplighter group.
- The metrical interpretation of superreflexivity in Banach spaces
- On Lipschitz embedding of finite metric spaces in Hilbert space
- Some applications of the complex interpolation method to Banach lattices
- Markov chains, Riesz transforms and Lipschitz maps
- On uniformly homeomorphic normed spaces
- Martingales with values in uniformly convex spaces
- Every connected regular graph of even degree is a Schreier coset graph
- Sharp uniform convexity and smoothness inequalities for trace norms
- The distortion problem
- Combinatorics, Paul Erdős is eighty. Vol. 2
- On embedding expanders into \(\ell_p\) spaces
- Random walk in random groups.
- Lectures on analysis on metric spaces
- Stability of the Lipschitz extension property under metric transforms
- Girth and Euclidean distortion
- Euclidean quotients of finite metric spaces
- Extending Lipschitz functions via random metric partitions
- Finite metric spaces needing high dimension for Lipschitz embeddings in Banach spaces
- Least-distortion Euclidean embeddings of graphs: Products of cycles and expanders
- The geometry of graphs and some of its algorithmic applications
- On uniform homeomorphisms of the unit spheres of certain Banach lattices
- On the distortion required for embedding finite metric spaces into normed spaces
- Markov convexity and local rigidity of distorted metrics
- An introduction to the Ribe program
- Metric embeddings. Bilipschitz and coarse embeddings into Banach spaces
- Affine approximation of Lipschitz functions and nonlinear quotients
- Banach space actions and \(L^2\)-spectral gap
- Nonlinear spectral calculus and super-expanders
- Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces \(L_p\) and \(\ell_p\) for \(0<p<\infty\)
- On Lipschitz extension from finite subsets
- Property \((T)\) and rigidity for actions on Banach spaces
- On the complexity of matrix reduction over finite fields
- Nonembeddability theorems via Fourier analysis
- On metric Ramsey-type phenomena
- Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
- Hölder estimates for the noncommutative Mazur maps
- On the nonexistence of uniform homeomorphisms between \(L^ p\)-spaces
- Banach spaces which can be given an equivalent uniformly convex norm
- Navigating in the Cayley graphs of \(\text{SL}_N(\mathbb{Z})\) and \(\text{SL}_N(\mathbb{F}_p)\).
- Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
- Quasisymmetric embeddings, the observable diameter, and expansion properties of graphs
- A proof that every uniformly convex space is reflexive
- Uniform convexity in factor and conjugate spaces
- Quantitative nonlinear embeddings into Lebesgue sequence spaces
- Sphere equivalence, Property H, and Banach expanders
- Spectral calculus and Lipschitz extension for barycentric metric spaces
- On the Banach-Space-Valued Azuma Inequality and Small-Set Isoperimetry of Alon–Roichman Graphs
- Complex interpolation between Hilbert, Banach and operator spaces
- Poincaré inequalities, embeddings, and wild groups
- Interpolation of Linear Operators
- METRIC DIMENSION REDUCTION: A SNAPSHOT OF THE RIBE PROGRAM
- Extensions of Lipschitz mappings into a Hilbert space
- KAZHDAN CONSTANTS FOR SLn(ℤ)
- METRIC INEQUALITIES
- Expander graphs and their applications
- PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
- Interpolation of Uniformly Convex Banach Spaces
- Differentiability of Lipschitzian mappings between Banach spaces
- On the moduli of convexity and smoothness
- Ultraproducts in Banach space theory.
- Random Cayley graphs and expanders
- PLANE WITH $A_{\infty}$ -WEIGHTED METRIC NOT BILIPSCHITZ EMBEDDABLE TO ${\bb R}^n$
- A spectral gap precludes low-dimensional embeddings
- On Type of Metric Spaces
- Über die zusammenziehende und Lipschitzsche Transformationen
- A NOTE ON NON-AMENABILITY OF ℬ(ℓp) FOR p=1,2
- Homéomorphismes Uniformes Entre les Sphères Unité des Espaces D'Interpolation
- Approximate near neighbors for general symmetric norms
- Data-dependent hashing via nonlinear spectral gaps
- Comparison of Metric Spectral Gaps
- L p -distortion and p -spectral gap of finite graphs
- Sphere Equivalence, Banach Expanders, and Extrapolation
- On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
- Intermediate spaces and interpolation, the complex method
- Super-Reflexive Banach Spaces
- On Lipschitz mappings between Fréchet spaces
- On the Betti Numbers of Real Varieties