Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published January 2001 | public
Journal Article

Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications

Abstract

This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a general uniform subadditive ergodic theorem for linearly repetitive tilings. This theorem unifies and extends various known (sub)additive ergodic theorems on tilings. The results of this paper can be applied in the study of both random operators and lattice gas models on tilings.

Additional Information

© 2001 Springer-Verlag New York Inc. Received July 19, 2000, and in revised form January 30, 2001. Online publication July 25, 2001. D.D. was supported by the German Academic Exchange Service through Hochschulsonderprogramm III (Postdoktoranden) and D.L. received financial support from Studienstiftung des Deutschen Volkes (Doktorandenstipendium).

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023