UNIFORM ERGODIC THEOREMS ON APERIODIC LINEARLY REPETITIVE TILINGS AND APPLICATIONS-Reference-Cited by-同舟云学术

UNIFORM ERGODIC THEOREMS ON APERIODIC LINEARLY REPETITIVE TILINGS AND APPLICATIONS

Published:2008-06 Issue:05 Volume:20 Page:597-623
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BESBES ADNENE¹

Affiliation:

1. Mathématiques, Université Paris Diderot, 175 rue du Chevaleret, 75013 Paris, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X0800333X

Reference20 articles.

1. M. Baake and U. Grimm, Directions in Mathematical Quasicrystals, CRM Monogr. Ser., eds. M. Baake and R. V. Moody (Amer. Math. Soc., Providence, RI, 2000) pp. 371–373.

2. Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications

3. Linearly recurrent subshifts have a finite number of non-periodic subshift factors

4. LATTICE GAS MODELS ON SELF-SIMILAR APERIODIC TILINGS

5. Gibbs Measures and Phase Transitions

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