P. O. Santos

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20242026

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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.PR2025

Central limit theorem for $I^µ$ -independent products and higher-order tensors

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

math.PR2024

Graphon-Theoretic Approach to Central Limit Theorems for $I^µ$ -Independence

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

Log-Sobolev under random monotone censoring

Central limit theorem for I^µ-independent products and higher-order tensors

Graphon-Theoretic Approach to Central Limit Theorems for I^µ-Independence

Central limit theorem for $I^µ$ -independent products and higher-order tensors

Graphon-Theoretic Approach to Central Limit Theorems for $I^µ$ -Independence