5 papers
Weighted CKP Inequalities Involving Rényi Divergence Powers
Sergey G. Bobkov, Devraj Duggal
Pinsker-type inequalities are considered for the weighted total variation distance between probability measures in terms of the Rényi divergence powers. They are applied in derivat…
Rearrangements and infimum convolutions
Devraj Duggal, James Melbourne, Cyril Roberto
We develop a general comparison result for inf convolution operators related to rearrangement. As a consequence we derive comparison results under spherically symmetric rearrangeme…
Spherical Covariance Representations
Sergey G. Bobkov, Devraj Duggal
Covariance representations are developed for the uniform distributions on the Euclidean spheres in terms of spherical gradients and Hessians. They are applied to derive a number of…
Höffding's Kernels and Periodic Covariance Representations
Sergey G. Bobkov, Devraj Duggal
We start with a brief survey on Höffding's kernels, its properties, related spectral decompositions, and discuss marginal distributions of Höffding measures. In the second part of…
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…