4 papers
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 is chosen uniformly among…
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…
Central limit theorem for -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 -independent random variables. We utilize graphon limits to encode the evolution of independence and char…
Graphon-Theoretic Approach to Central Limit Theorems for -Independence
Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef
We establish a central limit theorem for the sum of -independent random variables, extending both the classical and free probability setting. Central to our approach is the use…