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LYP-RIG SIGNED

Lyapunov exponents and rigidity phenomena in dynamical systems and mathematical physics

Total Cost €

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EC-Contrib. €

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Partnership

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Project "LYP-RIG" data sheet

The following table provides information about the project.

Coordinator
IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE 

Organization address
address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ
website: http://www.imperial.ac.uk/

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Total cost 224˙933 €
 EC max contribution 224˙933 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2018
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2019
 Duration (year-month-day) from 2019-09-01   to  2021-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE UK (LONDON) coordinator 224˙933.00

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 Project objective

'This fellowship builds on the success of the applicant’s PhD thesis, where he made breakthroughs in the study of the frequency of hyperbolic behavior, i.e. simplicity and non-vanishing of Lyapunov exponents in dynamical systems. The concept of Lyapunov exponent were introduced in the work of A. M. Lyapunov on the stability of the solutions of differential equations in 1892. The concept plays a central role in most areas of modern theory of dynamical systems, mathematical physics, differential geometry, among others. The problem of the frequency of hyperbolic behavior, in various settings, has been extensively investigated by many leading mathematicians. The main goal of this project is to study the Lyapunov exponents in the most general setting, and investigate its role in rigidity phenomena in dynamical systems. This project specifically aims at applying techniques from modern theories of complex analysis and complex geometry (field in which the supervisor is a world leading expert) to the study of Lyapunov exponents (the applicant’s area of expertise).

This proposal has four main objectives: 1 - Explain the frequency of the simplicity of Lyapunov spectrum for symplectic cocycles; 2 - Establish positivity of Lyapunov exponents for the general structure group; 3 - Understand the frequency of hyperbolic behavior for infinite dimensional 'symplectic' cocycles; 4 - Employ new techniques from Lyapunov exponents to the rigidity conjectures, in particular, Katok-Spatzier types conjectures.'

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The information about "LYP-RIG" are provided by the European Opendata Portal: CORDIS opendata.

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