Dualité d'entropie métrique: Une approche géométrique

Vitali D. Milman; Stanislaw J. Szarek

doi:10.1016/S0764-4442(00)01776-6

Dualité d'entropie métrique: Une approche géométrique

Translated title of the contribution: A geometric approach to duality of metric entropy

Vitali D. Milman^*, Stanislaw J. Szarek

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new geometric approach for studying the Duality of Metric Entropy (of operators, or of convex sets). We demonstrate such duality, up to a logarithmic factor, in one important case, for the hitherto not-too-well understood low 'levels of resolution'.

Translated title of the contribution	A geometric approach to duality of metric entropy
Original language	French
Pages (from-to)	157-162
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	2
DOIs	https://doi.org/10.1016/S0764-4442(00)01776-6
State	Published - Feb 2001

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title = "Dualit{\'e} d'entropie m{\'e}trique: Une approche g{\'e}om{\'e}trique",

abstract = "We introduce a new geometric approach for studying the Duality of Metric Entropy (of operators, or of convex sets). We demonstrate such duality, up to a logarithmic factor, in one important case, for the hitherto not-too-well understood low 'levels of resolution'.",

author = "Milman, {Vitali D.} and Szarek, {Stanislaw J.}",

year = "2001",

month = feb,

doi = "10.1016/S0764-4442(00)01776-6",

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T2 - Une approche géométrique

AU - Milman, Vitali D.

AU - Szarek, Stanislaw J.

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Y1 - 2001/2

N2 - We introduce a new geometric approach for studying the Duality of Metric Entropy (of operators, or of convex sets). We demonstrate such duality, up to a logarithmic factor, in one important case, for the hitherto not-too-well understood low 'levels of resolution'.

AB - We introduce a new geometric approach for studying the Duality of Metric Entropy (of operators, or of convex sets). We demonstrate such duality, up to a logarithmic factor, in one important case, for the hitherto not-too-well understood low 'levels of resolution'.

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U2 - 10.1016/S0764-4442(00)01776-6

DO - 10.1016/S0764-4442(00)01776-6

M3 - מאמר

AN - SCOPUS:18044392721

VL - 332

SP - 157

EP - 162

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 2

ER -

Dualité d'entropie métrique: Une approche géométrique

Abstract

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