Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps

Abstract

We consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to the set \π2,2π3,π4\, we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.

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