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Random and Integrable Models in Mathematical Phyiscs

Objective

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.

Call for proposal

FP7-PEOPLE-2009-IRSES
See other projects for this call

Funding Scheme

MC-IRSES - International research staff exchange scheme (IRSES)

Coordinator

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Address
Via Bonomea 265
34136 Trieste
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 97 200
Administrative Contact
Gabriele Rizzetto (Mr.)

Participants (5)

KATHOLIEKE UNIVERSITEIT LEUVEN
Belgium
EU contribution
€ 21 600
Address
Oude Markt 13
3000 Leuven
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Stijn Delauré (Dr.)
BRUNEL UNIVERSITY LONDON

Participation ended

United Kingdom
Address
Kingston Lane
UB8 3PH Uxbridge
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Teresa Waller (Ms.)
UNIVERSITE DIJON BOURGOGNE
France
EU contribution
€ 21 600
Address
Esplanade Erasme Maison De L Universite
21078 Dijon Cedex
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Raphael Bretin (Mr.)
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France
EU contribution
€ 7 200
Address
Rue Michel Ange 3
75794 Paris
Activity type
Other
Administrative Contact
Gaelle Bouin (Ms.)
IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
United Kingdom
EU contribution
€ 7 200
Address
South Kensington Campus Exhibition Road
SW7 2AZ London
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Brooke Alasya (Ms.)