Afonso S. Bandeira

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20232026

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math.PR2026

Convergence of Kikuchi matrices to $Γ$ -independent and $q$ -Gaussian limits

Afonso S. Bandeira, Dmitriy Kunisky, Petar Nizić-Nikolac +2

Kikuchi matrices are a family of structured matrices that were introduced to study problems involving tensors and hypergraphs. We show that, as the ambient dimension grows, dense r…

math.PR2026

Matrix Concentration and Equivalent Operators on Fock Spaces

Afonso S. Bandeira, Dmitriy Kunisky, Petar Nizić-Nikolac +2

We develop a method for proving matrix concentration inequalities by identifying random matrices with associated deterministic operators acting on suitable Fock spaces and controll…

math.PR2025

Randomstrasse101: Open Problems of 2024

Afonso S. Bandeira, Anastasia Kireeva, Antoine Maillard +1

$Randomstrasse101$ is a blog dedicated to Open Problems in Mathematics, with a focus on Probability Theory, Computation, Combinatorics, Statistics, and related topics. Thi…

math.PR2023

Exact threshold for approximate ellipsoid fitting of random points

Afonso S. Bandeira, Antoine Maillard

We consider the problem $(P)$ of exactly fitting an ellipsoid (centered at $0$ ) to $n$ standard Gaussian random vectors in $R^{d}$ , as $n, d \to \infty$ with $n / d^2 \t…

Convergence of Kikuchi matrices to Γ-independent and q-Gaussian limits

Matrix Concentration and Equivalent Operators on Fock Spaces

Randomstrasse101: Open Problems of 2024

Exact threshold for approximate ellipsoid fitting of random points

Convergence of Kikuchi matrices to $Γ$ -independent and $q$ -Gaussian limits