An Improved Subadditive Ergodic Theorem

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Kingman's Subadditive Ergodic Theorem Kingman's Subadditive Ergodic Theorem

A simple proof of Kingman’s subadditive ergodic theorem is developed from a point of view which is conceptually algorithmic and which does not rely on either a maximal inequality or a combinatorial Riesz lemma.

متن کامل

Subadditive Ergodic Theorems

Above is the famous Fekete’s lemma which demonstrates that the ratio of subadditive sequence (an) to n tends to a limit as n approaches infinity. This lemma is quite crucial in the field of subadditive ergodic theorems because it gives mathematicians some general ideas and guidelines in the non-random setting and leads to analogous discovery in the random setting. Kingman’s Subadditive Ergodic ...

متن کامل

The Subadditive Ergodic Theorem and Generic Stretching Factors for Free Group Automorphisms

Given a free group Fk of rank k ≥ 2 with a fixed set of free generators we associate to any homomorphism φ from Fk to a group G with a left-invariant semi-norm a generic stretching factor, λ(φ), which is a noncommutative generalization of the translation number. We concentrate on the situation when φ : Fk → Aut(X) corresponds to a free action of Fk on a simplicial tree X, in particular, when φ ...

متن کامل

Uniform Subadditive Ergodic Theorem on Aperiodic Linearly Repetitve Tilings and Applications

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.

متن کامل

Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications

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.

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

ژورنال

عنوان ژورنال: The Annals of Probability

سال: 1985

ISSN: 0091-1798

DOI: 10.1214/aop/1176992811