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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.

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)

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KATHOLIEKE UNIVERSITEIT LEUVEN

Belgium

EU Contribution

€ 21 600

BRUNEL UNIVERSITY LONDON

United Kingdom

UNIVERSITE DE BOURGOGNE

France

EU Contribution

€ 21 600

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

France

EU Contribution

€ 7 200

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE

United Kingdom

EU Contribution

€ 7 200

Project information

Grant agreement ID: 247623

Status

Closed project

  • Start date

    1 December 2010

  • End date

    30 November 2014

Funded under:

FP7-PEOPLE

  • Overall budget:

    € 273 600

  • EU contribution

    € 154 800

Coordinated by:

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE

Italy