Bounded degree cosystolic expanders of every dimension

The Need for Structure in Quantum LDPC Codes

(2019) Lior Eldar et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Random Steiner systems and bounded degree coboundary expanders of every dimension

(2018) Alexander Lubotzky et al.   DISCRETE & COMPUTATIONAL GEOMETRY

On expansion and topological overlap

(2017) Dominic Dotterrer et al.   GEOMETRIAE DEDICATA

Eigenvalue confinement and spectral gap for random simplicial complexes

(2017) Antti Knowles et al.   RANDOM STRUCTURES & ALGORITHMS

Finite quotients of Bruhat–Tits buildings as geometric expanders

(2017) Shai Evra   Journal of Topology and Analysis

Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders

(2016) Tali Kaufman et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Expansion of building-like complexes

(2016) Alexander Lubotzky et al.   Groups Geometry and Dynamics

Simplicial complexes: Spectrum, homology and random walks

(2016) Ori Parzanchevski et al.   RANDOM STRUCTURES & ALGORITHMS

Random Latin squares and 2-dimensional expanders

(2015) Alexander Lubotzky et al.   ADVANCES IN MATHEMATICS

Isoperimetric inequalities in simplicial complexes

(2015) Ori Parzanchevski et al.   COMBINATORICA

Mixing Properties and the Chromatic Number of Ramanujan Complexes

(2015) S. Evra et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Ramanujan complexes and high dimensional expanders

(2014) Alexander Lubotzky   Japanese Journal of Mathematics

Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds

(2014) Larry Guth et al.   JOURNAL OF MATHEMATICAL PHYSICS

Generalizations of the Kolmogorov–Barzdin embedding estimates

(2012) Misha Gromov et al.   DUKE MATHEMATICAL JOURNAL

COBOUNDARY EXPANDERS

(2012) DOMINIC DOTTERRER et al.   Journal of Topology and Analysis

Expander graphs in pure and applied mathematics

(2011) Alexander Lubotzky   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Overlap properties of geometric expanders

(2011) Jacob Fox et al.   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry

(2010) Mikhail Gromov   GEOMETRIC AND FUNCTIONAL ANALYSIS

Homological connectivity of randomk-dimensional complexes

(2008) R. Meshulam et al.   RANDOM STRUCTURES & ALGORITHMS