Elliot Paquette

activity

20082026

most citedFunctional limit theorems for random regular graphs

33 citations · 133 across the 43 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CO2020

Topology of random 2-dimensional cubical complexes

Matthew Kahle, Elliot Paquette, Érika Roldán

We study a natural model of random 2-dimensional cubical complex which is a subcomplex of an n-dimensional cube, and where every possible square $2$ -face is included independently…

math.CO2018★ 2 cited

The integer homology threshold in $Y_{d} (n, p)$

Andrew Newman, Elliot Paquette

We prove that in the $d$ -dimensional Linial--Meshulam stochastic process the $(d - 1)$ st homology group with integer coefficients vanishes exactly when the final isolated $(d - 1)$ …

math.CO2012★ 29 cited

Spectral gaps of random graphs and applications

Christopher Hoffman, Matthew Kahle, Elliot Paquette

We study the spectral gap of the Erdős--Rényi random graph through the connectivity threshold. In particular, we show that for any fixed $δ > 0$ if $$p \ge \frac{(1/2 + δ) \log n}{n…

Topology of random 2-dimensional cubical complexes

The integer homology threshold in Yd​(n,p)

Spectral gaps of random graphs and applications

The integer homology threshold in $Y_{d} (n, p)$