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On the continuity of entropy of Lorenz maps

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.

preprint2018arXivOpen access
Zoe CooperbandErin P. J. PearseBlaine QuackenbushJordan M. RowleyTony SamuelMatthew A. West
math.DS
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Zoe CooperbandErin P. J. PearseBlaine QuackenbushJordan M. RowleyTony SamuelMatthew A. West

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