Obiettivo Asymptotic convex geometry is concerned with the geometric and linear properties of finine dimensional normed spaces or convex bodies, the emphasis being on the asymptotic behavior of various quantitative parameters as the dimension grows to infinity. It i s a central component of an emerging interdisciplinary area, which deals with high dimensional phenomena and lies on the intersection of geometry, analysis, probability and combinatorics. An intriguing question in asymptotic convex geometry is to understan d the central limit properties of convex bodies. The problem, which is increasingly attracting the attention and the efforts of many researchers, can be vaguely formulated as follows : is it true that every convex body of high dimension has most of its mar ginal distributions essentially Gaussian ? The problem is naturally linked to the classical slicing problem and to the study of volume concentration on isotropic convex bodies. Pajor has done pioneering work on isotropicity and he is one of the leading exp erts in asymptotic convex geometry. Paouris has devoted a lot of effort on this particular subject : he has already contributed to the picture and brings interesting new ideas and questions. The area is open and promising, and one should expect important n ew steps. A second main goal of this project is to help the participant researcher to learn new techniques in his field, but also to have exposure to a variety of influences and to identify new fields in which he might work in the future. The Department of Mathematics at the University of Marne-la-Vallee contains a leading team on convex geometric analysis but also on deviation estimates in probability, optimal transortation, entropy growth and their relation to geometry. This makes it an ideal place of t he training needs of Paouris. This will hopefully secure his academic future but will also have a positive influence on the research community in Greece. Campo scientifico natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatorics Parole chiave Asymptotic Geometric Analysis Central Limit Theorem Concentration of Measure Convexity Isoperimetric Principles Isotropic Convex Bodies Programma(i) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Argomento(i) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Invito a presentare proposte FP6-2004-MOBILITY-5 Vedi altri progetti per questo bando Meccanismo di finanziamento EIF - Marie Curie actions-Intra-European Fellowships Coordinatore UNIVERSITE DE MARNE-LA-VALLEE Contributo UE Nessun dato Indirizzo Cite Descartes, 5 boulevard Descartes CHAMPS SUR MARNE Francia Mostra sulla mappa Collegamenti Sito web Opens in new window Costo totale Nessun dato