Strong Transitivity and Graph Maps
Katsuya Yokoi
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005), p. 377-388 / Harvested from The Polish Digital Mathematics Library
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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 fk 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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281000 
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Katsuya Yokoi. Strong Transitivity and Graph Maps. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 377-388. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-4-3/