3 papers
math.DS2026
Absolutely continuous invariant measures and the Collet-Eckmann condition for long-branched Sturmian unimodal maps
Jorge Olivares-Vinales
We study long-branched unimodal maps for which the sequence of values of the kneading map form a Sturmian word. We identify these kneading classes with those arising from the stunt…
math.DS2026
Towers and Bratteli-Vershik systems in Fibonacci-like unimodal maps
Jorge Olivares-Vinales, Semin Yoo
For a class of Fibonacci-like unimodal maps, the restriction to the -limit set of the unique turning point defines a minimal Cantor system. We construct these Cantor sets geome…
math.DS2025
Non-existence of wandering intervals for asymmetric unimodal maps
Jorge Olivares-Vinales, Weixiao Shen
We prove that an asymmetric unimodal map has no wandering intervals.