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math.OA2026
A Centroid Framework for Operator-Valued Haagerup Inequalities
Patrick Oliveira Santos
We introduce a centroid-based block decomposition of the left-regular representation and use it to prove operator-valued Haagerup inequalities for finitely generated groups with ce…
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 is chosen uniformly among…