A distributionally chaotic triangular map with zero sequence topological entropy.
Forti, G.L., Paganoni, L. (1998)
Mathematica Pannonica
Similarity:
Displaying similar documents to “Commutativity of the topological sequence entropy on finite graphs.”
A distributionally chaotic triangular map with zero sequence topological entropy.
Topological entropy of Cournot-Puu duopoly.
Cánovas, Jose S., Medina, David López (2010)
Discrete Dynamics in Nature and Society
Similarity:
On the origin and development of some notions of entropy
Francisco Balibrea (2015)
Topological Algebra and its Applications
Similarity:
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X → X a continuous maps. During years, a long list of results have appeared to precise and understand what is the complexity of the systems. Among them, one of the most popular is that of topological entropy. In modern applications other conditions on X and f have been considered. For example X can be non-compact or f can be discontinuous (only in a finite number of points and with bounded...
Estimates of topological entropy of continuous maps with applications.
Yang, Xiao-Song, Bai, Xiaoming (2006)
Discrete Dynamics in Nature and Society
Similarity:
Approximating entropy of maps of the interval
Louis Block, Ethan M. Coven (1989)
Banach Center Publications
Similarity:
The topological entropy versus level sets for interval maps
Jozef Bobok (2002)
Studia Mathematica
Similarity:
We answer affirmatively Coven's question [PC]: Suppose f: I → I is a continuous function of the interval such that every point has at least two preimages. Is it true that the topological entropy of f is greater than or equal to log 2?
On topological sequence entropy and chaotic maps on inverse limit spaces.
Canovas, J.S. (1999)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Topological conditional entropy
Michał Misiurewicz (1976)
Studia Mathematica
Similarity:
On topological entropy
Riečan, B.
Similarity:
Maximal entropy measures in dimension zero
Dawid Huczek (2012)
Colloquium Mathematicae
Similarity:
We prove that an invertible zero-dimensional dynamical system has an invariant measure of maximal entropy if and only if it is an extension of an asymptotically h-expansive system of equal topological entropy.
Entropy-minimality.
Coven, E.M., Smítal, J. (1993)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Fiber entropy and conditional variational principles in compact non-metrizable spaces
Tomasz Downarowicz, Jacek Serafin (2002)
Fundamenta Mathematicae
Similarity:
We consider a pair of topological dynamical systems on compact Hausdorff (not necessarily metrizable) spaces, one being a factor of the other. Measure-theoretic and topological notions of fiber entropy and conditional entropy are defined and studied. Abramov and Rokhlin's definition of fiber entropy is extended, using disintegration. We prove three variational principles of conditional nature, partly generalizing some results known before in metric spaces: (1) the topological conditional...
Topological sequence entropy for maps of the circle
Roman Hric (2000)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
A continuous map of the interval is chaotic iff there is an increasing sequence of nonnegative integers such that the topological sequence entropy of relative to , , is positive ([FS]). On the other hand, for any increasing sequence of nonnegative integers there is a chaotic map of the interval such that ([H]). We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning topological sequence entropy for maps of general compact...