Dimensional behaviour of entropy and information

作者:Bobkov Sergey*; Madiman Mokshay
来源:Comptes Rendus Mathematique, 2011, 349(3-4): 201-204.
DOI:10.1016/j.crma.2011.01.008

摘要

We develop an information-theoretic perspective on some questions in convex geometry, providing for instance a new equipartition property for log-concave probability measures, some Gaussian comparison results for log-concave measures, an entropic formulation of the hyperplane conjecture, and a new reverse entropy power inequality for log-concave measures analogous to V. Milman's reverse Brunn-Minkowski inequality.

  • 出版日期2011-2