Details

Autor(en) / Beteiligte

• MAI, JIE-HUA

Titel

Pointwise-recurrent graph maps

Ist Teil von

• Ergodic theory and dynamical systems, 2005-04, Vol.25 (2), p.629-637

Ort / Verlag

Cambridge, UK: Cambridge University Press

Erscheinungsjahr

2005

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we show that a continuous map f from a connected graph G to itself is pointwise-recurrent if and only if one of the following two statements holds: (1) G is a circle, and f is a homeomorphism topologically conjugate to an irrational rotation of the unit circle S1; (2) f is a periodic homeomorphism.