Concentration for Young measures and conditioned Boolean model - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Concentration for Young measures and conditioned Boolean model

(1)
1
Julien Michel
  • Function : Author
  • PersonId : 844715

Abstract

We present a method for determining the probability that a given point lies in the vacant region of a Boolean model subject to the condition that this probability takes imposed values on certain points. This method is based on a characterisation of the intensity of the Boolean model as a Young measure, such that after discretisation a large deviations principle holds; this induces a concentration property which can be transposed for the Boolean model, yielding the maximum of entropy state satisfying the conditioning. The numerical computation of this Gibbs state gives the parameters of the conditioned Boolean model, and thus one can answer both numerically and theoretically to the problem of finding the vacancy function at any point.
Fichier principal
Vignette du fichier
cond-bool.pdf (202.69 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

ensl-00189834 , version 1 (22-11-2007)

Identifiers

  • HAL Id : ensl-00189834 , version 1

Cite

Julien Michel. Concentration for Young measures and conditioned Boolean model. 2007. ⟨ensl-00189834⟩
120 View
75 Download

Share

Gmail Facebook Twitter LinkedIn More