Dynamics of piecewise translation maps

Sang Truong

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arXiv · 1610.04700

Dynamics of piecewise translation maps

Sang Truong

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Abstract

In this paper, we introduce a generalized piecewise translation map on the Euclidean space. We provide a special case when this map is always of finite type. For a finite type map in this case, we form conjectures on the semi-continuity of the attractor. Moreover, we also provide some conjectures and pictures on piecewise translations on a two dimensional torus.

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Sang Truong. 2016-10-15. Dynamics of piecewise translation maps. https://arxiv.org/abs/1610.04700

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