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  5. 2026

Topological Dynamical Systems

Icon: calendar TDS Session Talk #9.3 | 2026 Jul 17 from 11:30AM to 11:55AM (Zagreb) | A1-1

Subevent of TDS Session #9

‟A Family of Wild Attractors for Unimodal Maps” by Lori Alvin <lori.alvin@furman.edu>, Furman University

Abstract:

It is well-known that a unimodal map $f$ has a unique metric attractor that is either an attracting periodic orbit, the union of $n$ open intervals that are cyclically permuted by $f$, or a Cantor set. A Cantor attractor that arises from a non-infinitely renormalizable map is called an absorbing Cantor set or a wild attractor. We present a symbolic construction that can be used to generate the kneading sequences for a family of unimodal maps with embedded strange odometers and wild attractors. This is joint work with Jernej Činč.