Simplicial complexes: Spectrum, homology and random walks

A Cheeger-type inequality on simplicial complexes

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

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

COBOUNDARY EXPANDERS

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

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