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arXiv · 1803.04511

On the continuity of entropy of Lorenz maps

Zoe Cooperband·Erin P. J. Pearse·Blaine Quackenbush·Jordan M. Rowley·Tony Samuel·Matthew A. West
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Abstract

We consider a one parameter family of Lorenz maps indexed by their point of discontinuity $p$ and constructed from a pair of bilipschitz functions. We prove that their topological entropies vary continuously as a function of $p$ and discuss Milnor's monotonicity conjecture in this setting.

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Zoe Cooperband, Erin P. J. Pearse, Blaine Quackenbush, Jordan M. Rowley, Tony Samuel, Matthew A. West. 2018-03-12. On the continuity of entropy of Lorenz maps. https://doi.org/10.1016/j.indag.2019.10.002

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