Super-expanders and warped cones
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Publication:2027748
DOI10.5802/aif.3373zbMath1477.46023arXiv1704.03865OpenAlexW3153646676MaRDI QIDQ2027748
Publication date: 28 May 2021
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.03865
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Expander graphs (05C48)
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Cites Work
- Unnamed Item
- Unnamed Item
- Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\)
- A spectral gap theorem in simple Lie groups
- Expansion in SL\(_2(\mathbb R)\) and monotone expanders
- Averaged projections, angles between groups and strengthening of Banach property (T)
- Higher index theory for certain expanders and Gromov monster groups. I
- A spectral gap theorem in SU\((d)\)
- The coarse geometric Novikov conjecture and uniform convexity
- Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators
- A reinforcement of property (T)
- Expanders and dimensional expansion
- Cryptographic hash functions from expander graphs
- Ramanujan graphs
- Explicit constructions of linear-sized superconcentrators
- Counterexamples to the Baum-Connes conjecture
- Entropy waves, the zig-zag graph product, and new constant-degree expanders
- Rigidity of warped cones and coarse geometry of expanders
- Discrete fundamental groups of warped cones and expanders
- The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- Nonlinear spectral calculus and super-expanders
- Kazhdan projections, random walks and ergodic theorems
- Local spectral gap in simple Lie groups and applications
- Expanders and box spaces
- Vanishing of cohomology with coefficients in representations on Banach spaces of groups acting on buildings
- Warped cones and property A
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Superexpanders from group actions on compact manifolds
- On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\)
- Sphere equivalence, Property H, and Banach expanders
- Expander graphs in pure and applied mathematics
- Strong property (T) for higher-rank simple Lie groups: Figure 1.
- Expander graphs and their applications
- PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
- Measure expanding actions, expanders and warped cones
- Warped cones and spectral gaps
- Strong Banach property (T) for simple algebraic groups of higher rank
- Sphere Equivalence, Banach Expanders, and Extrapolation
- Warped cones, (non‐)rigidity, and piecewise properties
- Expanders with respect to Hadamard spaces and random graphs