On Computing the Topological Entropy of One-sided Cellular Automata

نویسنده

  • Pietro Di Lena
چکیده

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

Conjugacy of One-Dimensional One-Sided Cellular Automata is Undecidable

Two cellular automata are strongly conjugate if there exists a shiftcommuting conjugacy between them. We prove that the following two sets of pairs (F,G) of one-dimensional one-sided cellular automata over a full shift are recursively inseparable: (i) pairs where F has strictly larger topological entropy than G, and (ii) pairs that are strongly conjugate and have zero topological entropy. Becau...

متن کامل

The Complexity of Permutive Cellular Automata

This paper studies cellular automata in two aspects: Ergodic and topological behavior. For ergodic aspect, the formulae of measure-theoretic entropy, topological entropy and topological pressure are given in closed forms and Parry measure is demonstrated to be an equilibrium measure for some potential function. For topological aspect, an example is examined to show that the exhibition of snap-b...

متن کامل

On Computing the Entropy of Cellular Automata

We study the topological entropy of a particular class of dynamical systems: cellular automata. The topological entropy of a dynamical system (X; F) is a measure of the complexity of the dynamics of F over the space X . The problem of computing (or even approximating) the topological entropy of a given cellular automata is algorithmically undecidable (Ergodic Theory Dynamical Systems 12 (1992) ...

متن کامل

Row Subshifts and Topological Entropy of Cellular Automata

Cellular Automata (CA) are symbolic dynamical systems often used in computer science as models of complex systems [9]. The topological entropy is often referred to as a measure of the complexity of a dynamical system [1]. The topological entropy of a CA (AZ, F ) is defined in terms of the entropy of its column subshifts Σk [4], H(F ) = limk→∞ H(Σk) k . Here we address the following question: is...

متن کامل

Entropy and Applications of Cellular Automata

In this paper I will provide an introduction to the theory of cellular automata and review a paper by Michele D’amico, Giovanni Manzini, and Luciano Margara [3], On computing the entropy of cellular automata, in which the authors study the topological entropy of cellular automata. The main problems addressed are proving a closed form for the topological entropy of D-dimensional linear cellular ...

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:
  • J. Cellular Automata

دوره 2  شماره 

صفحات  -

تاریخ انتشار 2007