منابع مشابه
Topological entropy on zero-dimensional spaces
Let X be an uncountable compact metrizable space of topological dimension zero. Given any a ∈ [0,∞] there is a homeomorphism on X whose topological entropy is a.
متن کاملEntropy 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 کاملCost and dimension of words of zero topological entropy
Let A∗ denote the free monoid generated by a finite nonempty set A. In this paper we introduce a new measure of complexity of languages L ⊆ A∗ defined in terms of the semigroup structure on A∗. For each L ⊆ A∗, we define its cost c(L) as the infimum of all real numbers α for which there exist a language S ⊆ A∗ with pS(n) = O(n) and a positive integer k with L ⊆ S.We also define the cost dimensi...
متن کاملQuasi-factors of Zero-entropy Systems
For minimal systems (X, T) of zero topological entropy we demon-strate the sharp difference between the behavior, regarding entropy, of the sys-tems (M(X) , T) and (2x , T) induced by T on the spaces M(X) of prob-ability measures on X and 2x of closed subsets of X. It is shown that thesystem (M(X) , T) has itself zero topological entropy. Two proofs of this the-orem are give...
متن کاملPositive Topological Entropy for Magnetic Flows on Surfaces
We study the topological entropy of the magnetic flow on closed riemannian surface. We prove that if the magnetic flow has a non-hyperbolic closed orbit in some energy set T c M = E −1 (c), then there exists an exact C ∞-perturbation of the 2-form Ω such that the new magnetic flow has positive topological entropy in T c M. We also prove that if the magnetic flow has an infinite number of closed...
متن کاملذخیره 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: 1993
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1993-1155593-2