Eigenvalue confinement and spectral gap for random simplicial complexes

On the phase transition in random simplicial complexes

(2016) Nathan Linial et al.   ANNALS OF MATHEMATICS

Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders

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

On eigenvalues of random complexes

(2016) Anna Gundert et al.   ISRAEL JOURNAL OF MATHEMATICS

Random walks on simplicial complexes and harmonics

(2016) Sayan Mukherjee et al.   RANDOM STRUCTURES & ALGORITHMS

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

Bulk universality of sparse random matrices

(2015) Jiaoyang Huang et al.   JOURNAL OF MATHEMATICAL PHYSICS

A Cheeger-type inequality on simplicial complexes

(2014) John Steenbergen et al.   ADVANCES IN APPLIED MATHEMATICS

The outliers of a deformed Wigner matrix

(2014) Antti Knowles et al.   ANNALS OF PROBABILITY

On Gromov’s Method of Selecting Heavily Covered Points

(2014) Jiří Matoušek et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Ramanujan complexes and high dimensional expanders

(2014) Alexander Lubotzky   Japanese Journal of Mathematics

Spectra of combinatorial Laplace operators on simplicial complexes

(2013) Danijela Horak et al.   ADVANCES IN MATHEMATICS

Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

(2013) László Erdős et al.   ANNALS OF PROBABILITY

Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

(2012) László Erdős et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Collapsibility and Vanishing of Top Homology in Random Simplicial Complexes

(2012) Lior Aronshtam et al.   DISCRETE & COMPUTATIONAL GEOMETRY

COBOUNDARY EXPANDERS

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

Topology of Random 2-Complexes

(2011) D. Cohen et al.   DISCRETE & COMPUTATIONAL GEOMETRY

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

(2010) Mikhail Gromov   GEOMETRIC AND FUNCTIONAL ANALYSIS

The fundamental group of random $2$-complexes

(2010) Eric Babson et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

The threshold function for vanishing of the top homology group of random $d$-complexes

(2010) Dmitry N. Kozlov   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Homological connectivity of randomk-dimensional complexes

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