Zum Inhalt springen
- {{#headlines}}
- {{title}} {{/headlines}}
Profil
| Derzeitige Stellung | Professor W-3 und Äquivalente |
|---|---|
| Fachgebiet | Stochastik, Wahrscheinlichkeitstheorie,Analysis, Differentialgleichungen |
| Keywords | random matrices, geometric functional analysis, compressed sensing, high dimensional probability , convex geometry |
Aktuelle Kontaktadresse
| Land | USA |
|---|---|
| Ort | Irvine |
| Universität/Institution | University of California, Irvine |
| Institut/Abteilung | Department of Mathematics |
Gastgeber*innen während der Förderung
| Prof. Dr. Olga Holtz | Institut für Mathematik, Technische Universität Berlin, Berlin |
|---|---|
| Beginn der ersten Förderung | 01.05.2014 |
Projektbeschreibung der*des Nominierenden
| Professor Roman Vershynin is an internationally recognized expert in the field of functional analysis and probability theory and a champion of compressive sensing. Compressive sensing is a novel paradigm in signal processing, whereby one seeks to minimize the number of measurements to be taken from signals while still retaining the information necessary to represent them well, thereby efficiently solving a host of problems of applied mathematics, physics, and other disciplines. Furthermore, Professor Vershynin is a world authority on high-dimensional probability, concentration of measure, convexity, entropy, and frame theory. His fundamental results demonstrated the "unreasonable effectiveness" of random matrices and other randomized constructions in compressive sensing. In Germany, he plans to investigate randomization and de-randomization in compressive sensing, linear algebra, and frame theory. |