Strictly ergodic, uniform positive entropy models

نویسندگان

  • S. M. F
  • ELI GLASNER
  • BENJAMIN WEISS
چکیده

© Bulletin de la S. M. F., 1994, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Uniquely Ergodic Minimal Tiling Spaces with Positive Entropy

Strictly ergodic spaces of tilings with positive entropy are constructed using tools from information and probability theory. Statistical estimates are made to create a one-dimensional subshift with these dynamical properties, yielding a space of repetitive tilings of R with finite local complexity that is also equivalent to a symbolic dynamical system with a Z action.

متن کامل

Disordered Ground States of Classical Lattice Models

We use strictly ergodic dynamical systems to describe two methods for constructing short range interactions of classical statistical mechanics models with unique ground states and unusual properties of disorder; in particular, these ground states can be mixing under translations (and therefore have purely continuous spectrum), and can have positive entropy. Because of the uniqueness of the grou...

متن کامل

DISORDERED GROUND STATES OF CLASSICAL LATTICE MODELS* by

We use strictly ergodic dynamical systems to describe two methods for constructing short range interactions of classical statistical mechanics models with unique ground states and unusual properties of disorder; in particular, these ground states can be mixing under translations (and therefore have purely continuous spectrum), and can have positive entropy. Because of the uniqueness of the grou...

متن کامل

Uniform Ergodic Theorems for Dynamical Systems Under VC Entropy Conditions

The classic limit theorems of Vapnik and Chervonenkis [27,28] show that if a function class F satisfies a random entropy condition, then the strong law of large numbers holds uniformly over F . In this paper we show that an analogous weighted entropy condition implies that Birkhoff’s pointwise ergodic theorem holds uniformly over F . In this way we obtain a variety of uniform ergodic theorems f...

متن کامل

Uniform Ergodic Theorems on Subshifts over a Finite Alphabet

Abstract. We investigate uniform ergodic type theorems for additive and subadditive functions on a subshift over a finite alphabet. We show that every strictly ergodic subshift admits a uniform ergodic theorem for Banach-spacevalued additive functions. We then give a necessary and sufficient condition on a minimal subshift to allow for a uniform subadditive ergodic theorem. This provides in par...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017