Seminar| Institute of Mathematical Sciences
Time: Wednesday, November 12th, 2025,14:00-15:00
Location: RS408, IMS
Speaker: Jorge Olivares-Vinales, SCMS, Fudan University
Abstract: A natural problem in dynamical systems is the classification of “equivalent” systems. In the real one-dimensional case, the ordering of the phase space (the circle or a compact interval) gives raise to the question when the order of the orbits of the systems determines it. More precisely, we can ask whether two maps which are combinatorially equivalent are topologically conjugated. This problem goes back to Poincare’s work dealing with circle homeomorphisms, and
a positive answer depends on the non-existence of wandering intervals.
In this talk, I will discuss a joint work with Professor Weixiao Shen from Fudan University, where we prove that an asymmetric unimodal map (i.e. with different left and right critical order) has no wandering intervals.