Continuity of entropy for Lorenz maps (Q2288225)

The authors consider a one-parameter family of expanding interval maps \(\{T_p\}\) with two increasing continuous branches and discontinuity at \(p\). \textit{P. Raith} [Commentat. Math. Univ. Carol. 41, No. 1, 61--78 (2000; Zbl 1034.37021)] proved that the topological entropy of \(T_p\) varies continuously as a function of \(p\). The present paper provides an alternative proof using Milnor-Thurston kneading theory.