RGDD

Rigidity and global deformations in dynamics

 Coordinatore IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE 

Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.

 Nazionalità Coordinatore United Kingdom [UK]
 Totale costo 2˙228˙829 €
 EC contributo 2˙228˙829 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2013-ADG
 Funding Scheme ERC-AG
 Anno di inizio 2014
 Periodo (anno-mese-giorno) 2014-03-01   -   2019-02-28

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE

 Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ

contact info
Titolo: Ms.
Nome: Brooke
Cognome: Alasya
Email: send email
Telefono: +44 207 594 1181
Fax: +44 207 594 1418

UK (LONDON) hostInstitution 2˙228˙829.00
2    IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE

 Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ

contact info
Titolo: Prof.
Nome: Sebastian
Cognome: Van Strien
Email: send email
Telefono: +44 20 7594 2844
Fax: +44 20 7594 8517

UK (LONDON) hostInstitution 2˙228˙829.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

affine    outcome    averages    paradigm    dimensional    dynamical    setting    techniques    dynamics    orbits    stochastically    answer    models    piecewise   

 Obiettivo del progetto (Objective)

'Proposal Summary: While there have been tremendous advances in one-dimensional dynamics, higher-dimensional systems are far less well understood. This novel programme of work will take paradigms from one-dimensional dynamics to apply to the higher-dimensional case. In so doing, it will answer a number of long-standing questions of major significance and open up the field for sustained future investigation. The current emphasis on conformal (complex-analytic) techniques will be supplemented in the higher-dimensional setting by drawing on a combination of techniques from dynamics, geometry and analysis. • Take observations generated by a (possibly chaotic) dynamical system. Do their averages converge? Outcome A will show that for ‘typical’ one-dimensional systems this is indeed the case. This will solve a famous conjecture of Palis and that such maps are stochastically stable. • Outcome B will rule out certain pathologies in higher-dimensional systems with sufficient regularity. To do this, I will use the one-dimensional paradigm of rigidity associated to smoothness and build on work in progress to deal with the higher dimensionality. • Specifically, Poincare ́ asked whether recurrent orbits can be shadowed by periodic orbits for a system with nearby parameters. Outcome C will answer his question in a particular setting, using the one- dimensional paradigm of global deformations and higher-dimensional techniques. • Outcome D will give insight into dynamical systems associated to learning models in economics and game theory – concentrating on models that are either piecewise-affine, have time averages which are essentially piecewise affine, or can be viewed as stochastically perturbed systems. Systems associated to random graphs and coupled networks will also be investigated. The mathematical methods in these objectives are interlinked, and straddle pure and applied dynamics. This combined approach will greatly re-energise the field.'

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