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Subjects
37-XX Dynamical systems and ergodic theory
37Exx Low-dimensional dynamical systems
37E25 Maps of trees and graphs

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Strong Transitivity and Graph Maps

Katsuya Yokoi (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

We study the relation between transitivity and strong transitivity, introduced by W. Parry, for graph self-maps. We establish that if a graph self-map f is transitive and the set of fixed points of $f^{k}$ is finite for each k ≥ 1, then f is strongly transitive. As a corollary, if a piecewise monotone graph self-map is transitive, then it is strongly transitive.

The chain recurrent set for maps of compacta

Katsuya Yokoi (2007)

Annales Polonici Mathematici

For a self-map of a compactum we give a necessary and sufficient condition for the chain recurrent set to be precisely the set of periodic points.

The minimum tree for a given zero-entropy period.

Barrabés, Esther, Juher, David (2005)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 21 – 23 of 23

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