Discrete Hammersley's Lines with sources and sinks

Abstract : We introduce two stationary versions of two discrete variants of Hammersley's process in a finite box, this allows us to recover in a unified and simple way the laws of large numbers proved by T. Seppäläinen for two generalized Ulam's problems. As a by-product we obtain an elementary solution for the original Ulam problem. We also prove that for the first process defined on Z, Bernoulli product measures are the only extremal and translation-invariant stationary measures.
Type de document :
Article dans une revue
ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matemática Pura e Aplicada, 2016, 13 (1), pp.33-52
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01121585
Contributeur : Lucas Gerin <>
Soumis le : jeudi 2 avril 2015 - 11:32:49
Dernière modification le : jeudi 16 mars 2017 - 01:07:41

Fichiers

HammersleySinksSources-HAL2.pd...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01121585, version 2
  • ARXIV : 1503.00507

Citation

A-L Basdevant, N Enriquez, L Gerin, J-B Gouéré. Discrete Hammersley's Lines with sources and sinks. ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matemática Pura e Aplicada, 2016, 13 (1), pp.33-52. <hal-01121585v2>

Partager

Métriques

Consultations de
la notice

324

Téléchargements du document

139