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 2022Show all

3 papers · 1 filter

math.CO2022

Counting orientations of random graphs with no directed k-cycles

Marcelo Campos, Maurício Collares, Guilherme Oliveira Mota

For every $k \geq 3$ , we determine the order of growth, up to polylogarithmic factors, of the number of orientations of the binomial random graph containing no directed cycle of le…

math.MG2022

Towards Hadwiger's conjecture via Bourgain Slicing

Marcelo Campos, Peter van Hintum, Robert Morris +1

In 1957, Hadwiger conjectured that every convex body in $R^{d}$ can be covered by $2^{d}$ translates of its interior. For over 60 years, the best known bound was of the form $…

math.PR2022

The least singular value of a random symmetric matrix

Marcelo Campos, Matthew Jenssen, Marcus Michelen +1

Let $A$ be a $n \times n$ symmetric matrix with $(A_{i, j})_{i \leq j}$ , independent and identically distributed according to a subgaussian distribution. We show that $$\mathbb{P}(σ…