Ron Rosenthal

activity

20102022

most citedSimplicial complexes: spectrum, homology and random walks

87 citations · 193 across the 17 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CO2015

Random Steiner systems and bounded degree coboundary expanders of every dimension

Alexander Lubotzky, Zur Luria, Ron Rosenthal

We introduce a new model of random $d$ -dimensional simplicial complexes, for $d \geq 2$ , whose $(d - 1)$ -cells have bounded degrees. We show that with high probability, complexes samp…

math.PR2015

Eigenvalue confinement and spectral gap for random simplicial complexes

Antti Knowles, Ron Rosenthal

We consider the adjacency operator of the Linial-Meshulam model for random simplicial complexes on $n$ vertices, where each $d$ -cell is added independently with probability $p$ to…

math.PR2015★ 6 cited

Non-metricity in the continuum limit of randomly-distributed point defects

Raz Kupferman, Cy Maor, Ron Rosenthal

We present a homogenization theorem for isotropically-distributed point defects, by considering a sequence of manifolds with increasingly dense point defects. The loci of the defec…