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Journal Articles Discrete and Continuous Dynamical Systems - Series A Year : 2012

Recurrence in generic staircases

Abstract

The straight-line flow on almost every staircase and on almost every square tiled staircase is recurrent. For almost every square tiled staircase the set of periodic orbits is dense in the phase space.
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Dates and versions

hal-00480006 , version 1 (03-05-2010)
hal-00480006 , version 2 (01-10-2010)

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Cite

Serge Troubetzkoy. Recurrence in generic staircases. Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (3), pp.1047-1053. ⟨10.3934/dcds.2012.32.1047⟩. ⟨hal-00480006v2⟩
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