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arXiv · 1510.00722

Discretizations of isometries

Pierre-Antoine Guihéneuf
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Abstract

This paper deals with the dynamics of discretizations of isometries of $\mathbf R^n$, and more precisely the density of the successive images of $\mathbf Z^n$ by the discretizations of a generic sequence of isometries. We show that this density tends to 0 as the time goes to infinity. Thus, in general, all the information of a numerical image will be lost by applying many times a naive algorithm of rotation.

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Pierre-Antoine Guihéneuf. 2015-10-02. Discretizations of isometries. https://arxiv.org/abs/1510.00722

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