 |
|
Theses
Asymptotique des propriétés locales pour le modèle d'Ising et applications
Asymptotique des propriétés locales pour le modèle d'Ising et applications
Abstract : This thesis intends to study local properties satisfied by the Ising model defined on a d-dimensional lattice torus. As the size n of the lattice tends to infinity, a limit for their probability of occurring is obtained depending on the surface potential a=a(n) and the pair potential b=b(n). By establishing a threshold phenomenon, we determine the moment from which a given local property occurs in the lattice. Thus, at its threshold function, we prove a poisson approximation for its probability of occurring. Finally, two applications are proposed: an estimate of potentials a and b and a denoising algorithm for grey level images.
Cited literature [78 references]
https://tel.archives-ouvertes.fr/tel-00011136
Contributor : David Coupier <>
Submitted on : Wednesday, November 30, 2005 - 4:31:57 PM
Last modification on : Friday, April 10, 2020 - 5:20:50 PM
Long-term archiving on: : Friday, April 2, 2010 - 11:17:34 PM
Contributor : David Coupier <>
Submitted on : Wednesday, November 30, 2005 - 4:31:57 PM
Last modification on : Friday, April 10, 2020 - 5:20:50 PM
Long-term archiving on: : Friday, April 2, 2010 - 11:17:34 PM