Topological entropy of block maps

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

TOPOLOGICAL ENTROPY OF m-FOLD MAPS

We investigate the relation between preimage multiplicity and topological entropy for continuous maps. An argument originated by Misiurewicz and Przytycki shows that if every regular value of a C1 map has at least m preimages then the topological entropy of the map is at least log m. For every integer, there exist continuous maps of the circle with entropy zero for which every point has at leas...

متن کامل

Computing the Topological Entropy of unimodal Maps

We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm is obtained by the sign analysis of the itineraries of the critical point and of the boundary points of the interval map. We apply this algorithm to the estimation of the growth number and the topological entropy o...

متن کامل

Topological Entropy and Adding Machine Maps

We prove two theorems which extend known results concerning periodic orbits and topological entropy in one-dimensional dynamics. One of these results concerns the adding machine map (also called the odometer map) fα defined on the α-adic adding machine ∆α. We let H(fα) denote the greatest lower bound of the topological entropies of F , taken over all continuous maps F of the interval which cont...

متن کامل

Topological Entropy for Nonuniformly Continuous Maps

The literature contains several extensions of the standard definitions of topological entropy for a continuous self-map f : X→X from the case when X is a compact metric space to the case when X is allowed to be noncompact. These extensions all require the space X to be totally bounded, or equivalently to have a compact completion, and are invariants of uniform conjugacy. When themap f is unifor...

متن کامل

Entropy operator for continuous dynamical systems of finite topological entropy

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

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: Proceedings of the American Mathematical Society

سال: 1980

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1980-0556638-1