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arxiv: 1509.02454 · v2 · pith:7KPBX5NLnew · submitted 2015-09-08 · 🧮 math.DS

Ergodic properties of folding maps on spheres

classification 🧮 math.DS
keywords mapsfoldingtrajectoriesassociatedcertaincharacterizescollectioncollections
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We consider the trajectories of points on $\mathbb{S}^{d - 1}$ under sequences of certain folding maps associated with reflections. The main result characterizes collections of folding maps that produce dense trajectories. The minimal number of maps in such a collection is $d+1$.

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