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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 -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 chara…