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Recurrence in generic staircases

2010/05/31 by Serge Troubetzkoy
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Combinatorics #Computer science #Flow (mathematics) #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Periodic orbits #Set (abstract data type) #Space (punctuation) #Square (algebra) #Theoretical and Computational Physics #math.DS #math.GT

paper · pdf · doi:10.3934/dcds.2012.32.1047

published as Discrete and Continuous Dynamical Systems - Series A 32, 3 (2012) 1047-1053

arxiv created 2010/10/01 · openalex publication_date 2011/10/21 · arxiv updated 2012/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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. 1.

Citations