P. O. Santos

activity

20232026

collaborators

7 papers

math.OA2026

A Centroid Framework for Operator-Valued Haagerup Inequalities

Patrick Oliveira Santos

We introduce a centroid-based block decomposition of the left-regular representation and use it to prove operator-valued Haagerup inequalities for finitely generated groups with ce…

math.PR2026

Log-Sobolev under random monotone censoring

Patrick Oliveira Santos, Raghavendra Tripathi, Pierre Youssef

We show that the logarithmic Sobolev inequality of the Boolean cube is stable under random monotone censoring. More precisely, if $A_{n} \subseteq {0, 1}^{n}$ is chosen uniformly among…

math.OA2025

Khintchine inequalities, trace monoids and Turán-type problems

Patrick Oliveira Santos, Raghavendra Tripathi, Pierre Youssef

We prove scalar and operator-valued Khintchine inequalities for mixtures of free and tensor-independent semicircle variables, interpolating between classical and free Khintchine-ty…

math.PR2025

Central limit theorem for $ε$ -independent products and higher-order tensors

Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef

We establish a central limit theorem (CLT) for families of products of $ε$ -independent random variables. We utilize graphon limits to encode the evolution of independence and chara…

math.PR2024

Graphon-Theoretic Approach to Central Limit Theorems for $ε$ -Independence

Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef

We establish a central limit theorem for the sum of $ε$ -independent random variables, extending both the classical and free probability setting. Central to our approach is the use…

math.CO2023

A combinatorial view on star moments of regular directed graphs and trees

Benjamin Dadoun, Patrick Oliveira Santos

We investigate the method of moments for $d$ -regular digraphs and the limiting $d$ -regular directed tree $T_{d}$ as the number of vertices tends to infinity, in the same spirit as Mc…

math.ST2023

Almost sharp covariance and Wishart-type matrix estimation