Erin Denette

Research

My main research interests lie in the field of real dynamical systems. My primary focus and the topic of my dissertation is the study of minimal Cantor sets, and I am particularly interested in the construction of ergodic families of and topological semi-conjugations between combinatorially obtained minimal Cantors sets. I have also done work in the field of difference equations with coauthors M.R.S. Kulenovic and E. Pilav and welcome the opportunity to pursue further research in determining the local and global behavior of such equations.

Publications

Dissertation

Presentations

  • Semi-Conjugation Between Certain Combinatorially Obtained Minimal Cantor Sets MAA Northeastern Section Meeting in Fairfield, CT (November 2017)
  • Combinatorially Obtained Minimal Cantor Sets: Introduction and Recent Results Parts I, II, and III University of Rhode Island Dynamics Seminar (Spring 2017)
  • KAM Theory and Other Results Applied to a Certain System of Difference Equations AMS Fall Eastern Section Meeting in Brunswick, ME (November 2016)
  • Constructing Ergodic Families of Combinatorially Obtained Minimal Cantor Sets Joint Mathematics Meetings in Seattle, WA (January 2016)
  • On Existence of a Semi-Conjugation Between Certain Combinatorially Obtained Minimal Cantor Sets Joint Mathematics Meetings in Seattle, WA (January 2016)
  • Birkhoff Normal Form and KAM Theory for a Certain System of Difference Equations AMS Fall Eastern Section Meeting in New Brunswick, NJ (November 2015)
  • The Construction of a Non-Uniquely Ergodic Minimal Cantor Set Joint Mathematics Meetings in San Antonio, TX (January 2015)
  • The Construction of a Non-Uniquely Ergodic Minimal Cantor Set University of Rhode Island Difference Equations Seminar (October 2014)