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math.PR2025
Monotonicity of functionals associated to product measures via their Fourier transform and applications
Andreas Malliaris
Let be a probability measure on . We give conditions on the Fourier transform of its density for functionals of the form $H(a)=\int_{\mathbb{R}^n}h(\langle a,x\rang…
math.PR2024
Curvature and Other Local Inequalities in Markov Semigroups
Devraj Duggal, Andreas Malliaris, James Melbourne +1
Inspired by the approach of Ivanisvili and Volberg towards functional inequalities for probability measures with strictly convex potentials, we investigate the relationship between…