Pierre Youssef

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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

Guillaume CÃ©bron, Patrick Oliveira Santos, Pierre Youssef

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.PR2025

Intrinsic regularity in the discrete log-Sobolev inequality

Justin Salez, Pierre Youssef

The chain rule lies at the heart of the powerful Gamma calculus for Markov diffusions on manifolds, providing remarkable connections between several fundamental notions such as Bak…

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

Intrinsic regularity in the discrete log-Sobolev inequality

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