Asymptotic periodicity of recurrent flows in infinite networks

Asymptotic periodicity of recurrent flows in infinite networks

We consider a transport process on an infinite network and, using the corresponding flow semigroup as in Dorn (Semigroup Forum 76:341–356, 2008), investigate its long term behavior. Combining methods from functional analysis, graph theory and stochastics, we are able to characterize the networks for...

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Veröffentlicht in:Mathematische Zeitschrift 2009-09, Vol.263 (1), p.69-87
Hauptverfasser: Dorn, Britta, Keicher, Vera, Sikolya, Eszter
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We consider a transport process on an infinite network and, using the corresponding flow semigroup as in Dorn (Semigroup Forum 76:341–356, 2008), investigate its long term behavior. Combining methods from functional analysis, graph theory and stochastics, we are able to characterize the networks for which the flow semigroup converges strongly to a periodic group.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-008-0410-x