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arXiv · 1705.05009

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

Nicolas Bédaride·Idrissa Kaboré
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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 $\{\fracπ{2},\frac{2π}{3},\fracπ{4}\}$, we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.

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Nicolas Bédaride, Idrissa Kaboré. 2017-05-14. Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps. https://doi.org/10.1007/s12346-017-0267-7

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