Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps

2013/06/26 by Bédaride, Nicolas, Kaboré, Idrissa
#Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1306.6150

Abstract

We consider a specific %piecewise rotation of the plane that is continuous on two half-planes, class of piecewise rotations of the plane that are continuous on two half-planes, as studied in \citeBosh.Goet.03, \citeGoet.Quas.09 and \citeChe.Goe.Qua.12. %If Assuming that the angle belongs to the set \\fracπ2,\fracπ3,\fracπ6,\fracπ4\ % , we give a description of the symbolic dynamics of this map in the bijective symmetric case.

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