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Spectrum and combinatorics of two-dimensional Ramanujan complexes (Q2414518)

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Language	Label	Description	Also known as
English	Spectrum and combinatorics of two-dimensional Ramanujan complexes	scientific article

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scholarly article

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Spectrum and combinatorics of two-dimensional Ramanujan complexes (English)

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Konstantin Golubev

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Ori Parzanchevski

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Israel Journal of Mathematics

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publication date

17 May 2019

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full work available at URL

https://arxiv.org/abs/1406.6666

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zbMATH Keywords

Ramanujan graphs

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Cheeger-type inequality

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MaRDI profile type

MaRDI publication profile

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Explicit construction of linear sized tolerant networks

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\(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators

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Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup

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On a 𝑝-adic vanishing theorem of Garland

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Elementary Symmetric Polynomials in Numbers of Modulus 1

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Ramanujan geometries of type \(\tilde A_{n}\)

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Harmonic functions and boundary value problems on a chain complex

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Mixing Properties and the Chromatic Number of Ramanujan Complexes

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Overlap properties of geometric expanders

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Expanding graphs contain all small trees

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p-adic curvature and the cohomology of discrete subgroups of p-adic groups

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Higher Dimensional Cheeger Inequalities

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On topological minors in random simplicial complexes

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Expander graphs and their applications

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ON EIGENVALUES AND COLORINGS OF GRAPHS, II

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The zeta functions of complexes from \(\mathrm{PGL}(3)\): a representation-theoretic approach

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Ramanujan hypergraphs

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A Moore bound for simplicial complexes

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Ramanujan graphs

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Ramanujan complexes of type \(\widetilde A_d\)

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Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\).

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Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski

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Expander graphs in pure and applied mathematics

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Ramanujan complexes and high dimensional expanders

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Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators

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On eigenvalues of \(p\)-adic curvature.

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Mixing in High-Dimensional Expanders

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Simplicial complexes: Spectrum, homology and random walks

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Isoperimetric inequalities in simplicial complexes

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Explicit construction of a Ramanujan \((n_1,n_2,\dots,n_{d-1})\)-regular hypergraph

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Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)

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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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Identifiers

zbMATH Open document ID

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10.1007/s11856-019-1828-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2414518

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