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math.PR2021
On the Equivalence of Statistical Distances for Isotropic Convex Measures
Arnaud Marsiglietti, Puja Pandey
We establish quantitative comparisons between classical distances for probability distributions belonging to the class of convex probability measures. Distances include total varia…
math.PR2021
Concentration Inequalities for Ultra Log-Concave Distributions
Heshan Aravinda, Arnaud Marsiglietti, James Melbourne
We establish concentration inequalities in the class of ultra log-concave distributions. In particular, we show that ultra log-concave distributions satisfy Poisson concentration b…