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Prof. Dr. Vitali Milman

Profile

Academic positionEmeritus
Research fieldsAnalysis, Differential Equations
KeywordsDvoretzky's theorem, Duality of covering numbers, Slicing problem, Functional inequalities, Blaschke-Santalo inequality

Current contact address

CountryIsrael
CityTel Aviv
InstitutionTel Aviv University
InstituteSchool of Mathematical Sciences

Host during sponsorship

Prof. Dr. Hermann KönigMathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Kiel
Prof. Dr. Rolf SchneiderMathematisches Institut, Albert-Ludwigs-Universität Freiburg, Freiburg
Start of initial sponsorship01/06/2009

Programme(s)

2009Humboldt Research Award Programme

Nominator's project description

Prof. Vitali Milman is an internationally renowned mathematician working in Functional Analysis and Convex Geometry. He discovered and studied several central phenomena in Analysis, among them the Concentration of Measure Phenomenon and its application to Asymptotic Geometric Analysis. In Germany, his research will focus on functional duality transforms extending convex duality, aiming for new geometric inequalities. Another topic is the study of the uniform volume distribution on convex bodies.

Publications (partial selection)

2017Vitali Milman, Hermann König: Rigidity of the chain rule and nearly submultiplicative functions. In: Lecture Notes in Mathematics, 2017, 235-264
2017Vitali Milman, Hermann König: The chain rule operator equation for polynomials and entire functions. In: IMA Volumes in Mathematics and its Applications, 2017, 1-11
2014Vitali Milman, Hermann König: Operator equations and domain dependence, the case of the Schwarzian derivative. In: Journal of Functional Analysis, 2014, 2546-2569
2014Vitali Milman, Hermann König: Submultiplicative functions and operator inequalities. In: Studia Mathematica , 2014, 217-231
2013Vitali Milman, Hermann König: Rigidity and Stability of the Leibniz and the Chain Rule. In: Proceedings of the Steklov Insitute of Mathematics, 2013, 191-207
2011Vitali Milman, Hermann König: A functional equation characterizing the second derivative. In: Journal of Functional Analysis, 2011, 876-896
2011Vitali Milman, Hermann König: Characterizing the derivative and the entropy function by the Leibniz rule. In: Journal of Functional Analysis, 2011, 1325-1344
2011Vitali Milman, Hermann König: The chain rule functional equation on R`n. In: Journal of Functional Analysis, 2011, 861-875
2010Vitali Milman, Hermann König, Shiri Artstein-Avidan: The chain rule as a functional equation. In: Journal of Functional Analysis, 2010, 2999-3024
2009Vitali Milman; Hermann König: AN OPERATOR EQUATION CHARACTERIZING THE LAPLACIAN. In: American Mathematical Society, 2009, 1-14