CROISSANCE

Analytic approaches to planar growth processes

 Coordinatore CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE 

 Organization address address: Rue Michel -Ange 3
city: PARIS
postcode: 75794

contact info
Titolo: Ms.
Nome: Christine
Cognome: D'argouges
Email: send email
Telefono: +33 1 42349419
Fax: +33 1 42349508

 Nazionalità Coordinatore France [FR]
 Totale costo 222˙547 €
 EC contributo 222˙547 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2009-IEF
 Funding Scheme MC-IEF
 Anno di inizio 2010
 Periodo (anno-mese-giorno) 2010-11-08   -   2013-08-07

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE

 Organization address address: Rue Michel -Ange 3
city: PARIS
postcode: 75794

contact info
Titolo: Ms.
Nome: Christine
Cognome: D'argouges
Email: send email
Telefono: +33 1 42349419
Fax: +33 1 42349508

FR (PARIS) coordinator 222˙547.20

Mappa


 Word cloud

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

laplacian    objects    elliptic    recent    integrable    random    nature    geometry    surfaces    deterministic    combine    matrices    geometrical    stochastic    complete    discovery    fluctuating    evolution    theory    phenomena    dimensions   

 Obiettivo del progetto (Objective)

'Many important phenomena reveal stochastic geometrical objects and shapes. Among them are fluctuating domain boundaries in statistical mechanics, growing patterns in non-equilibrium processes, and fluctuating surfaces studied in random matrix theory. These geometrical objects naturally arise in the theory of 2D growth processes, disordered systems and random media. In many interesting cases they are fractal in nature. The project focuses on a wide class of processes involving stochastic geometry in two dimensions and the related deterministic objects arising in free-boundary problems, such as Laplacian and elliptic growth. In spite of discovery of many deep connections between the theory of moving interfaces in two dimensions to a number of modern branches of mathematics such as advanced complex analysis, deformations of Riemann surfaces, integrable systems and theory of random matrices, there are many important questions to be addressed. For instance, complete analytic description, classification and universality of random growth processes and their deterministic counterparts on the plane as well as theory of singularity formation and regularisation are far from being complete. The project goal is to apply novel analytical and numeric techniques and combine ideas from different disciplines, in order to attack the above problems. Remarkable developments in Laplacian and elliptic growth due to recent achievements in theory of integrable systems and random matrices as well as revitalization of the study of 2D critical phenomena as a stochastic evolution of geometry due to recent discovery of the Stochastic Loewner Evolution make feasible further significant advances in the field. Multi-disciplinarity of the present project is addressed to combine the most recent advances in the named adjacent topics to shed light on the nature of fascinating interaction amongst phenomena both of pure physical and mathematical origin.'

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