Science and Mathematics Faculty Presentations

Title

Distributional Chaos in Dendritic Julia Sets

Document Type

Conference Presentation

Conference/Event

Summer Conference on Topology and its Application

Location

Galway, Ireland

Event Date

6-22-2015

Abstract

In this talk, we will briefly discuss the set Λ and the notions of Λ-acceptable and (Λ, τ)-admissible sequences.

Baldwin has demonstrated that, for a given Λ-acceptable sequence τ, the set of (Λ, τ)-admissible sequences in Λ is a dendrite.

We show that the the shift map σ exhibits distributional chaos of the first type (DC1) on these dendrites. We have the following corollary: if f(z) = z2 + c, where c is complex, has a Julia set which is a dendrite, then f exhibits DC1.

This document is currently not available here.

Share

COinS