Frédéric Le Roux, Anthony G. O’Farrell, Maria Roginskaya, Ian Short (2012)
Annales de l’institut Fourier
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We describe necessary and sufficient conditions for a fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.
Veronica Baker, Marcy Barge, Jaroslaw Kwapisz (2006)
Annales de l’institut Fourier
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This article is devoted to the study of the translation flow on self-similar tilings associated with a substitution of Pisot type. We construct a geometric representation and give necessary and sufficient conditions for the flow to have pure discrete spectrum. As an application we demonstrate that, for certain beta-shifts, the natural extension is naturally isomorphic to a toral automorphism.
Taro Asuke (2010)
Annales de l’institut Fourier
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A Fatou-Julia decomposition of transversally holomorphic foliations of complex codimension one was given by Ghys, Gomez-Mont and Saludes. In this paper, we propose another decomposition in terms of normal families. Two decompositions have common properties as well as certain differences. It will be shown that the Fatou sets in our sense always contain the Fatou sets in the sense of Ghys, Gomez-Mont and Saludes and the inclusion is strict in some examples. This property is important when...
Farkas, G. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Clark, Alex (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Shigenori Matsumoto (2012)
Annales de l’institut Fourier
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We consider a fixed point free homeomorphism of the closed band which leaves each leaf of a Reeb foliation on invariant. Assuming is the time one of various topological flows, we compare the restriction of the flows on the boundary.