TY - JOUR
T1 - Comportement dimensionnel de l'entropie et de l'information
AU - Bobkov, Sergey G
AU - Madiman, Mokshay
PY - 2011/2
Y1 - 2011/2
N2 - 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.
AB - 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.
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U2 - 10.1016/j.crma.2011.01.008
DO - 10.1016/j.crma.2011.01.008
M3 - Article
AN - SCOPUS:79551480856
SN - 1631-073X
VL - 349
SP - 201
EP - 204
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 3-4
ER -