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math.PR2025
Anti-concentration inequalities for log-concave variables on the real line
Tulio Gaxiola, James Melbourne, Vincent Pigno +1
We prove sharp anti-concentration results for log-concave random variables on the real line in both the discrete and continuous setting. Our approach is elementary and uses majoriz…
math.PR2021
Combinatorics of NC-Probability Spaces with Independent Constants
Carlos Dias-Aguilera, Tulio Gaxiola, Jorge Santos +1
Unlike classical and free independence, the boolean and monotone notions of independence lack of the property of independent constants. In the scalar case, this leads to restrictio…