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Presentation
Distributional Chaos in Dendrites
Summer Conference on Topology and its Applications
  • Nathan Averbeck, Cedarville University
  • Brian E. Raines
Document Type
Conference Presentation
Event Date
7-1-2014
Location
Staten Island, NY
Abstract

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

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

We show that these dendrites exhibit distributional chaos of the first type (also known as Schweizer-Smital chaos).

Citation Information
Nathan Averbeck and Brian E. Raines. "Distributional Chaos in Dendrites" Summer Conference on Topology and its Applications (2014)
Available at: http://works.bepress.com/nathan-averbeck/4/