On the continuity of entropy of Lorenz maps
Dynamical Systems
2026-01-14 v1
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.
Cite
@article{arxiv.1803.04511,
title = {On the continuity of entropy of Lorenz maps},
author = {Zoe Cooperband and Erin P. J. Pearse and Blaine Quackenbush and Jordan M. Rowley and Tony Samuel and Matthew A. West},
journal= {arXiv preprint arXiv:1803.04511},
year = {2026}
}
Comments
11 pages, 4 figures