Random and Integrable Models in Mathematical Phyiscs
(RIMMP)
Start date: Dec 1, 2010,
End date: Nov 30, 2014
PROJECT
FINISHED
The main goal of the present project is to put the theory of random matrices, random permutations and random walks in the context of the theory of integrable systems. This goal will be achieved by a significant progress in the theory of integrable systems and their perturbations, including its analytic, geometric and numerical aspects. Perturbative classification of integrable partial differential equations (PDEs) and their discrete analogues, various approaches to analytically constructing their exact solutions, the analysis of singular limits of important classes of solutions, the spectral geometry of Riemann surfaces, new asymptotic methods involving Painlev\'e transcendents and theta-functions, efficient numerical approaches to solving dispersive PDEs, all these techniques will be developed and applied to the rigorous analysis of various types of models of the theory of random matrices.
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Coordinator
- Gabriele Rizzetto
- VIA BONOMEA 265 34136 TRIESTE (Italy)
Details
- 56.6% € 154 800,00
-
FP7-PEOPLE
- Project on CORDIS Platform
5 Partners Participants
- Teresa Waller
- KINGSTON LANE UB8 3PH UXBRIDGE (United Kingdom)
KATHOLIEKE UNIVERSITEIT LEUVEN
€ 21 600,00- Stijn Delauré
- Oude Markt 13 3000 LEUVEN (Belgium)
UNIVERSITE DE BOURGOGNE
€ 21 600,00- Raphael Bretin
- ESPLANADE ERASME MAISON DE L UNIVERSITE 21078 DIJON CEDEX (France)
- Gaelle Bouin
- RUE MICHEL ANGE 3 75794 PARIS (France)
- Brooke Alasya
- Exhibition Road, South Kensington Campus SW7 2AZ LONDON (United Kingdom)