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This paper introduces the notion of local spectral expansion of a simplicial complex as a possible analogue of spectral expansion defined for graphs.
p p -adic curvature and the cohomology of discrete subgroups of p p -adic groups
Howard Garland · 1973
Earlier work this paper cites.
Cohomologie de certains groupes discretes et laplacien p p -adique (d’après H. Garland)
Armand Borel · 1975
Earlier work this paper cites.
On L 2 L^{2} -cohomology and property (T) for automorphism groups of polyhedral cell complexes
W. Ballmann and J. Świ ‘ · 1997
Earlier work this paper cites.
Homological connectivity of random 2-complexes
Nathan Linial and Roy Meshulam · 2006
Earlier work this paper cites.
Homological connectivity of random k k -dimensional complexes
R. Meshulam and N. Wallach · 2009
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Singularities, expanders and topology of maps. Part 2: From combinatorics to topology via algebraic isoperimetry
Mikhail Gromov · 2010
Cited alongside, same era.
Expander graphs in pure and applied mathematics
Alexander Lubotzky · 2012
Cited alongside, same era.
Spectra of combinatorial Laplace operators on simplicial complexes
Danijela Horak and Jürgen Jost · 2013
Cited alongside, same era.
Ramanujan complexes and high dimensional expanders
Alexander Lubotzky · 2014
Later among the works it cites.
Expansion of building-like complexes
Alexander Lubotzky, Roy Meshulam, and Shahar Mozes · 2016
Later among the works it cites.
Isoperimetric inequalities in simplicial complexes
Ori Parzanchevski, Ron Rosenthal, and Ran J. Tessler · 2016
Later among the works it cites.
Mixing in High-Dimensional Expanders
Ori Parzanchevski · 2017
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