Nationality Israeli Role Mathematician Education University of Kharkiv | Name Vitali Milman | |
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Alma mater Kharkov State University Doctoral students Semyon AleskerShiri Artstein-AvidanBo'az KlartagLeonid Polterovich Books Asymptotic theory of finite dimensional normed spaces Awards EMET Prize in Exact Sciences Similar People Joram Lindenstrauss, Boaz Klartag, Semyon Alesker, Keith Martin Ball, Monika Ludwig | ||
Vitali milman remarks on algebraic related structures in the families of convex sets and log conca
Vitali Davidovich Milman (Hebrew: ויטלי מילמן; Russian: Виталий Давидович Мильман) (born 23 August 1939) is a mathematician specializing in analysis. He is a professor at the Tel-Aviv University. In the past he was a President of the Israel Mathematical Union and a member of the “Aliyah” committee of Tel-Aviv University.
Contents
- Vitali milman remarks on algebraic related structures in the families of convex sets and log conca
- Algebraic Related Structures andand Analysis Vitali Milman
- Work
- Positions
- Awards and honors
- Family
- Selected works
- References
Algebraic Related Structures and...and Analysis - Vitali Milman
Work
Milman received his Ph.D. at Kharkiv State University in 1965 under the direction of Boris Levin.
In a 1971 paper, Milman gave a new proof of Dvoretzky's theorem, stating that every convex body in dimension N has a section of dimension d(N), with d(N) tending to infinity with N, that is arbitrarily close to being isometric to an ellipsoid. Milman's proof gives the optimal bound d(N) ≥ const log N. In this proof, Milman put forth the concentration of measure phenomenon which has since found numerous applications.
Milman made important contributions to the study of Banach spaces of large (finite) dimension, which led to the development of asymptotic geometric analysis. His results in this field include Milman's reverse Brunn–Minkowski inequality and the quotient of subspace theorem.
Positions
He holds several positions including being the advisor to the Israel Ministry of Science on the immigration of scientists, and being a member of the European Mathematical Union.
He is on the editorial boards of several journals, including Geometric and Functional Analysis. He has published over 150 scientific publications, a monograph and eleven edited books. He has delivered lectures at Universities such as MIT, IAS Princeton, Berkeley, IHES Paris, Cambridge.
Awards and honors
Milman received the Landau Prize in Mathematics in 2002 and the EMET Prize in mathematics in 2007.
In 2012 he became a fellow of the American Mathematical Society.
Family
Mathematics runs in the Milman family. His father is the mathematician David Milman, who devised the Krein–Milman theorem. His brother is the mathematician Pierre Milman and his son is the young mathematician Emanuel Milman.