Surveys |
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[20] | Geometrization of Probability V.D.Milman "Geometry and Dynamics of Groups and Spaces", Progress in Mathematics , vol. 265 (2007), pp. 569-588, M. Kapranov, S. Kolyada, Y. Manin, P. Moree, L. Potyagailo (Eds.), Birkhauser |
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[19] | Simplicity v/s complexity in the framework of Geometric Asymptotic Analysis and
some new application of concentration phenomena., V.D.Milman This is a talk which was given in Milano Mathematical Society and published in Milano Journal of Mathematics, 74 (2006), pp. 199-211 |
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[18] | Euclidean Structure in Finite Dimensional Normed Spaces, A.A.Giannopoulos and V.D.Milman This survey was written in 1999 but published in 2001, see [123] |
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[17] | Asymptotic Convex Geometry: A Short Overview, A.A.Giannopoulos and V.D.Milman This survey is written in 2003 and should continue and complement the previous one. It should appear in "Different faces of Geometry" see [144] |
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[16] | Topics in Asymptotic Geometric Analysis, V.D.Milman A talk on the "Visions in Mathematics" Conference; GAFA-2000; see [132]. |
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[15] | Surprising Geometric Phenomena in High Dimensional Convexity Theory, V.D.Milman A plenary talk on European Congress of Mathematicians, 1996; Budapest; see [116]. |
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[14] | Linear Structure of Banach Spaces; Asymptotic View, V.D.Milman written in 1993; published 1996, see [106]. |
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[13] | Randomness and Pattern in Convex Geometric Analysis, V.D.Milman A talk on the International Congress of Mathematicians, Berlin, 1998; see [124]. |
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[12] | Phenomena Arising from High Dimensionality, V.D.Milman A talk on the Kolmogorov-100 Conference, Moscow, 2003; will appear in 2004 in Uspehy Math. Nauk, Russia; see [145]. |
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[11] | (95b:46012) Lindenstrauss,J.; Milman,V.D. The local theory of normed spaces and its applications to convexity. Handbook of convex geometry, Vol. A, B, 1149--1220, North-Holland, Amsterdam, 1993. | |
[10] | (93i:46002) Milman,V. Dvoretzky's theorem---thirty years later. Geom. Funct. Anal. 2 (1992), no. 4, 455--479. | |
[9] | (91d:01005) Milman,V.D. The heritage of P. Levy in geometrical functional analysis. Colloque Paul Levy sur les Processus Stochastiques (Palaiseau, 1987). Ast?risque No. 157-158 (1988), 273--301. | |
[8] | (89h:46029) Milman,Vitali D. The concentration phenomenon and linear structure of finite-dimensional normed spaces. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif.,1986), 961--975, Amer. Math. Soc., Providence, RI, 1987. | |
[7] | (43 #6704) Milman,V.D. Geometric theory of Banach spaces. I. Theory of basic and minimal systems. (Russian) Uspehi Mat. Nauk 25 1970 no. 3 (153), 113--174. (There is an English translation in "Russian Math. Surveys") | |
[6] | (54 #8240) Milman,V.D. Geometric theory of Banach spaces. II. Geometry of the unit ball. (Russian) Uspehi Mat. Nauk 26 (1971), no. 6(162), 73--149. (Englush translation is available in "Russian Math. Surveys"). | |
A monograph on the Local Theory : | ||
[5] | (87m:46038) Milman,Vitali D.; Schechtman,Gideon; Asymptotic theory of finite-dimensional normed spaces. With an appendix by M. Gromov. Lecture Notes in Mathematics, 1200. Springer-Verlag, Berlin, 1986. viii+156 pp. [the main sourse of the theory and the method of Concentration at 80-th; it preserves its value till now but few more books and very detail surveys appeared meantime.] | |
The articles which are a mixture of survey and research information: | ||
[4] | (90g:52003) Milman,V.D.; Pajor,A. Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed $n$-dimensional space. Geometric aspects of functional analysis (1987--88), 64--104, Lecture Notes in Math., 1376, Springer, Berlin, 1989. | |
[3] | (87f:46035) Milman,V.D. Geometrical inequalities and mixed volumes in the local theory of Banach spaces. Colloquium in honor of Laurent Schwartz, Vol. 1 (Palaiseau, 1983). Asterisque No. 131 (1985), 373--400. | |
The articles with "historical" tendecy : | ||
[2] | V.Milman, Observations on migration of people and ideas in mathematics of the 20-th century (in Russian), Matematicheskie sobytiya XX veka; Moscow; PHASIS, 2003. | |
[1] | V.Milman, From functional analysis to asymptotic geometric analysis. in "History of Mathematical Sciences" (I.Gratten-Guinness, B.S.Yadav, eds.), Hindustan Book Agency (India), 2003. | |