Théorème de Dvoretzky (French Wikipedia)

Analysis of information sources in references of the Wikipedia article "Théorème de Dvoretzky" in French language version.

refsWebsite

Global rank French rank

2^nd place

3^rd place

low place

6,579^th place

670^th place

1,426^th place

3,707^th place

2,664^th place

451^st place

1,058^th place

ams.org

(en) T. Figiel, J. Lindenstrauss et V. D. Milman, « The dimension of almost spherical sections of convex bodies », Bull. Amer. Math. Soc., vol. 82, n^o 4,‎ 1976, p. 575-578 (lire en ligne)

(en) W. T. Gowers, « The two cultures of mathematics », dans Mathematics: frontiers and perspectives, AMS, 2000 (ISBN 978-0-8218-2070-4, lire en ligne), p. 65-78. « The full significance of measure concentration was first realized by Vitali Milman in his revolutionary proof [Mil1971] of the theorem of Dvoretzky […] Dvoretzky's theorem, especially as proved by Milman, is a milestone in the local (that is, finite-dimensional) theory of Banach spaces. While I feel sorry for a mathematician who cannot see its intrinsic appeal, this appeal on its own does not explain the enormous influence that the proof has had, well beyond Banach space theory, as a result of planting the idea of measure concentration in the minds of many mathematicians. »

(en) Y. Gordon, « Some inequalities for Gaussian processes and applications », Israel J. Math., vol. 50, n^o 4,‎ 1985, p. 265-289 (DOI 10.1007/BF02759761)
(en) G. Schechtman, « A remark concerning the dependence on ε in Dvoretzky's theorem », dans Geometric Aspects of Functional Analysis (1987-88), Springer, coll. « Lecture Notes in Math. » (n^o 1376),‎ 1989 (ISBN 0-387-51303-5), p. 274-277 [lien DOI]
(en) N. Alon et V. D. Milman, « Embedding of $l_{\infty }^{k}$ in finite-dimensional Banach spaces », Israel J. Math., vol. 45, n^o 4,‎ 1983, p. 265-280 (DOI 10.1007/BF02804012)

(en) V. Milman, « Dvoretzky Theorem – Thirty Years Later », Geometric and Functional Analysis, vol. 2, n^o 4,‎ 1992, p. 455-479 (lire en ligne)

(en) Y. Gordon, « Gaussian processes and almost spherical sections of convex bodies », Ann. Probab., vol. 16, n^o 1,‎ 1988, p. 180-188 (lire en ligne)