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arXiv · 1509.02454

Ergodic properties of folding maps on spheres

Almut Burchard·Gregory R. Chambers·Anne Dranovski
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Abstract

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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Almut Burchard, Gregory R. Chambers, Anne Dranovski. 2015-09-08. Ergodic properties of folding maps on spheres. https://doi.org/10.3934/dcds.2017049

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