On the continuity of entropy of Lorenz maps
arXiv:1803.04511 · doi:10.1016/j.indag.2019.10.002
Abstract
We consider a one parameter family of Lorenz maps indexed by their point of discontinuity and constructed from a pair of bilipschitz functions. We prove that their topological entropies vary continuously as a function of and discuss Milnor's monotonicity conjecture in this setting.
11 pages, 4 figures