Strong Transitivity and Graph Maps

Tom 53 / 2005

Katsuya Yokoi Bulletin Polish Acad. Sci. Math. 53 (2005), 377-388 MSC: 37E25, 37B20. DOI: 10.4064/ba53-4-3

Streszczenie

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 $k \geq 1$, then $f$ is strongly transitive. As a corollary, if a piecewise monotone graph self-map is transitive, then it is strongly transitive.

Autorzy

  • Katsuya YokoiDepartment of Mathematics
    Shimane University
    Matsue, 690-8504, Japan
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek