Phenomena in High Dimensions

01.11.2004 - 31.10.2008
Research funding project
The goal of this project is to investigate and to understand in depth the typical phenomena that occur in high-dimensional systems. Such systems occur in a wide variety of branches of mathematics and adjacent sciences, in particular physics and computing, and are becoming increasingly important in the life sciences as well. The most original feature of the project is that it brings together mathematicians from a variety of disciplines who have witnessed parallel developments within their fields over the last two decades, who share a broad range of methods, and who can benefit by adapting techniques which are not yet known to all disciplines. The main purpose will be to provide young scientists with a considerably wider understanding of the unity of the respective mathematical disciplines. It is to be expected that a new generation of young researchers who are exposed to all the different aspects of high-dimensional phenomena, from the start of their research careers, will have an enormous advantage in pushing our knowledge forward. Research areas of the project: 1. Asymptotic Geometric Analysis 2. Isometric Convex Geometry 3. Asymptotic Combinatorics 4. Randomised Computation and Complexity 5. High-dimensional Phenomena in Mathematical Physics 6. Isoperimetric Principles in Geometry and Probability

People

Project leader

Sub project leader

Project personnel

Institute

Grant funds

  • European Commission (EU) 6.FP: MOBILITY - Human resources and mobility Marie-Curie Grants 6.Rahmenprogramm für Forschung European Commission - Framework Programme European Commission Call identifier FP6-2002-mobility I Application number 511953

Research focus

  • Beyond TUW-research focus: 100%

Keywords

GermanEnglish
KonvexgeometrieConvex geometry
Asymptotische geometrische AnalysisAsymptotic geometric analysis

External partner

  • University College London
  • Alfréd Rényi Institute of Mathematics-Hung.Acad of Sciences
  • Universidad de Zaragoza
  • Christian-Albrechts-Universität zu Kiel
  • Tel Aviv University
  • Université Paul Sabatier - Toulouse III
  • Institute of Mathematics of the Polish Academy of Science (IMPAN)
  • Università degli Studi di Firenze
  • Institute for Low Temperature Physics
  • National and Kapodistrian University of Athens
  • Albert-Ludwigs-Universität Freiburg
  • Centre National de la Recherche Scientifique

Publications