100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Aggregation par Diffusion Limitee

Lundi, 18 Juin, 2012 - 17:00
Prénom de l'orateur : 
David
Nom de l'orateur : 
Jerison
Résumé : 

In 1986, chemists Paul Meakin and John Deutch proposed a model for the process of removal of material such as occurs in electropolishing, erosion and etching. Their model, known as internal diffusion-limited aggregation or internal DLA, is a random model in which corrosive fluid is represented as a growing blob of lattice sites that eats away at its solid surroundings as it grows.
The main question is, how smooth is the boundary of the blob? To answer this question we'll need partial differential equations, Fourier series, martingales, and methods used in analytic number theory to count the number of lattice points in a disk or ball.

Institution de l'orateur : 
M.I.T.
Thème de recherche : 
Physique mathématique
Salle : 
1 tour Irma
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