publications
Article
Uniform ergodic theorems on aperiodic linearly repetitive tiling and applications |
Besbes Adnene, 2008 |
Reviews in Mathematical Physics, 20, 5, 597–623, Février 2008 |
Résumé
The paper is concerned with aperiodic linearly repetitive tilings. For such tilings, we
establish a weak form of self-similarity that allows us to prove general (sub)additive
ergodic theorems. Finally, we provide applications to the study of lattice gas models.
The paper is concerned with aperiodic linearly repetitive tilings. For such tilings, weestablish a weak form of self-similarity that allows us to prove general (sub)additiveergodic theorems. Finally, we provide applications to the study of lattice gas models.
