Renormalization and conjugacy of piecewise linear Lorenz maps

Hong-Fei Cui; Yi-Ming Ding

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arXiv · 0906.3131

Renormalization and conjugacy of piecewise linear Lorenz maps

Hong-Fei Cui·Yi-Ming Ding

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Abstract

For each piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is either periodic renormalizable or prime. As a result, such a map is conjugate to a $β$-transformation.

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Hong-Fei Cui, Yi-Ming Ding. 2009-06-30. Renormalization and conjugacy of piecewise linear Lorenz maps. https://arxiv.org/abs/0906.3131

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