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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.OA2020
Maximal correlation and monotonicity of free entropy and Stein discrepancy
Benjamin Dadoun, Pierre Youssef
We introduce the maximal correlation coefficient between two noncommutative probability subspaces and and show that the maximal correlation coefficient bet…