Marcelo Campos

activity

20182023

most citedThe singularity probability of a random symmetric matrix is exponentially small

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CO2021★ 1 cited

The typical approximate structure of sets with bounded sumset

Marcelo Campos, Matthew Coulson, Oriol Serra +1

Let $A_{1}$ and $A_{2}$ be randomly chosen subsets of the first $n$ integers of cardinalities $s_{2} \geq s_{1} = Ω (s_{2})$ , such that their sumset $A_{1} + A_{2}$ has size $m$ . We show that asympt…

math.PR2021★ 1 cited

The singularity probability of a random symmetric matrix is exponentially small

Marcelo Campos, Matthew Jenssen, Marcus Michelen +1

Let $A$ be drawn uniformly at random from the set of all $n \times n$ symmetric matrices with entries in ${- 1, 1}$ . We show that \[ \mathbb{P}( \det(A) = 0 ) \leq e^{-cn},\] where…