Measures of maximal entropy for suspension flows over the full shift

نویسندگان
چکیده

برای دانلود رایگان 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

Measures of maximal entropy

We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.

متن کامل

Dimension of Measures for Suspension Flows

We consider suspension flows over two-sided subshifts of finite type and establish an explicit formula for the pointwise dimension of an arbitrary measure (in particular the measure is not necessarily ergodic and it may not possess a local product structure). The applications of this formula include the description of the Hausdorff dimension of a given measure in terms of an ergodic decompositi...

متن کامل

Measures of Maximal Relative Entropy

Given an irreducible subshift of finite type X , a subshift Y , a factor map π : X → Y , and an ergodic invariant measure ν on Y , there can exist more than one ergodic measure on X which projects to ν and has maximal entropy among all measures in the fiber, but there is an explicit bound on the number of such maximal entropy preimages.

متن کامل

Suspension Flows over Vershik’s Automorphisms

The aim of this paper is to give a multiplicative asymptotics for the deviation of ergodic averages for certain classes of suspension flows over Vershik’s automorphisms [11, 13]. A corollary of the main result yields limit theorems for these flows. Informally, Vershik’s automorphisms (also sometimes called “adic transformations”) are dynamical systems whose orbits are leaves of the asymptotic f...

متن کامل

Maximal entropy measures for Viana maps

In this note we construct measures of maximal entropy for a certain class of maps with critical points. The main application of our result is the existence of measures of maximal entropy for the so-called Viana maps.

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: Mathematische Zeitschrift

سال: 2019

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-019-02287-9