Some counter-examples in topological entropy
نویسندگان
چکیده
منابع مشابه
Counter-Examples to Some Results on D.C. Optimization
An analysis is given of the errors that have occured in some recent publications on d.c. optimization.
متن کاملProof-Like Counter-Examples
Counter-examples explain why a desired temporal logic property fails to hold, and as such considered to be the most useful form of output from modelcheckers. Reported explanations are typically short and described in terms of states and transitions of the model; as a result, they can be effectively used for debugging. However, counter-examples are not available for every CTL property and are of...
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 کاملOn the Topological Entropy of Some Skew-Product Maps
The aim of this short note is to compute the topological entropy for a family of skew-product maps, whose base is a subshift of finite type, and the fiber maps are homeomorphisms defined in one dimensional spaces. We show that the skew-product map does not increase the topological entropy of the subshift.
متن کاملFinding Counter Examples in Induction Proofs
This paper addresses a problem arising in automated proof of invariants of transition systems, for example transition systems modelling distributed programs. Most of the time, the actual properties we want to prove are too weak to hold inductively, and auxiliary invariants need to be introduced. The problem is how to find these extra invariants. We propose a method where we find minimal counter...
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: Topology
سال: 1972
ISSN: 0040-9383
DOI: 10.1016/0040-9383(72)90033-x