Louis Block

NAME: Louis Block
ADDRESS: Department of Mathematics
University of Florida
478 Little Hall
Gainesville, FL 32611-8105
PHONE: (352) 392-0281 ext.263
FAX: (352) 392-8357
E-MAIL: block@ufl.edu

Research Interests

  • Dynamical systems and connections between dynamics and topology.
  • One-dimensional dynamics and chaos theory.

    • My Book

  • Dynamics in One Dimension , by W.A. Coppel and myself, Lecture Notes in Mathematics 1513 Springer Verlag, 1992.

    • Some Recent Publications

  • Inverse limits which are the pseudoarc, by James Keesling, Vladimir Uspenskij, and myself, appeared in The Houston Journal of Mathematics, 26, (2000), 629 - 638. Here is a pdf file of the paper.
  • Iterated function systems and the code space, by James Keesling and myself, appeared in Topology and its Applications 122 (2002), 65-75. Here is a pdf file of the paper.
  • Minimal combinatorial models for maps of an interval with a given set of periods, by Ethan Coven, William Geller, Kristin Hubner, and myself, appeared in Ergodic Theory and Dynamical Systems 23 (2003), 707-728. Here is a dvi file of the paper.
  • A characterization of adding machine maps, by James Keesling and myself, appeared in Topology and its Applications 140 (2004), 151-161. Here is a pdf file of the paper.
  • Topological entropy and adding machine maps, by James Keesling and myself, appeared in The Houston Journal of Mathematics 30 (2004), 1103-1113. Here is a pdf file of the paper.
  • On the classification of inverse limits of tent maps, by Slagjana Jakimovik, Lois Kailhofer, James Keesling and myself, appeared in Fundamenta Mathematicae 187 (2005), 171-192. Here is a pdf file of the paper.
  • Strange adding machines, by James Keesling, Michal Misiurewicz and myself, appeared in Ergodic Theory and Dynamical Systems 26 (2006), 673-682. Here is a pdf file of the paper.
  • On Ingram's conjecture, by Slagjana Jakimovik, James Keesling and myself, appeared in Topology Proceedings 30 (2006), 95-114. Here is a pdf file of the paper.
  • Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point, by James Keesling, Brian Raines, Sonja Stimac and myself, appeared in Topology and its Applications 156 (2009), 2417-2425. Here is a pdf file of the paper.
  • Semi-conjugacies and inverse limit spaces, by James Keesling, Dennis Ledis and myself, Preprint, to appear in Journal of Difference Equations and Applications. Here is a pdf file of the paper.
  • Here are reviews of my publications.

    • Ph.D. students

    I was the Advisor for:
  • Shihai Li , Ph.D in August, 1991, Title of Dissertation: Chaos, Recurrence, and Inverse Limit Spaces.
  • Antonios Valaristos , Ph.D in December, 1994, Title of Dissertation: Period Doubling Patterns and Equicontinuity of Iterates in One-dimensional Dynamics.
  • Dennis Ledis , Ph.D in August, 2011, Title of Dissertation: Semi-Conjugacies to Tent Maps, Transitivity and Patterns, and Inverse Limit Spaces.
    • I was Cochair for:
  • Slagjana Jakimovik , Ph.D in August, 2005, Title of Dissertation: On the Classification of Inverse Limit Spaces of Tent Maps.

    • Courses for Fall 2012

    Ergodic Theory and Dynamical Systems

    Links of Interest

  • UF Mathematics Department Homepage
  • Math Reviews of UF Mathematics Department Faculty
  • The Golden Ratio