Forward and reverse entropy power inequalities in convex geometry M Madiman, J Melbourne, P Xu
Convexity and concentration, 427-485, 2017
93 2017 Rogozin's convolution inequality for locally compact groups M Madiman, J Melbourne, P Xu
arXiv preprint arXiv:1705.00642, 2017
29 2017 On piecewise models and species–area patterns D Gao, Z Cao, P Xu, G Perry
Ecology and Evolution 9 (14), 8351-8361, 2019
18 2019 Infinity-Rényi entropy power inequalities P Xu, J Melbourne, M Madiman
2017 IEEE International Symposium on Information Theory (ISIT), 2985-2989, 2017
13 2017 Reverse entropy power inequalities for s-concave densities P Xu, J Melbourne, M Madiman
2016 IEEE International Symposium on Information Theory (ISIT), 2284-2288, 2016
12 2016 The mid‐domain effect and habitat complexity applied to elevational gradients: Moss species richness in a temperate semihumid monsoon climate mountain of China D Gao, L Fu, J Sun, Y Li, Z Cao, Y Liu, P Xu, J Zhao
Ecology and Evolution 11 (12), 7448-7460, 2021
8 2021 A min-entropy power inequality for groups P Xu, J Melbourne, M Madiman
2017 IEEE International Symposium on Information Theory (ISIT), 674-678, 2017
5 2017 Mixing rates of random walks with little backtracking SM Cioaba, P Xu
Contemp. Math 655, 27-58, 2015
5 2015 The norm of the Fourier series operator P Xu, M Madiman
2015 IEEE International Symposium on Information Theory (ISIT), 750-754, 2015
2 2015 The norm of the Fourier transform on compact or discrete abelian groups M Madiman, P Xu
Journal of Fourier Analysis and Applications, 2020, 2016
1 * 2016 An Exact Upper Bound on the Lebesgue Constant and The -R\'enyi Entropy Power Inequality for Integer Valued Random Variables P Xu, M Madiman, J Melbourne
arXiv preprint arXiv:1808.07732, 2018
2018 Some Tpoics in Random Walks on Graphs, Harmonic Analysis and Rogozin Type Inequalities for Locally Compact Groups P Xu
Ph.D Thesis, University of Delaware, 2017
2017