PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Stephanie Zerby, Anatole Katok, Federico Rodriguez Hertz.

Title:Entropy, dynamical degrees, and Salem numbers.
Seminar:Center for Dynamics and Geometry Colloquium
Speaker:Serge Cantat, CNRS-Université de Rennes (presently member of the IAS)
Abstract:
The topological entropy is a real number that measures the complexity of the dynamical system obtained by iterating a transformation f of a topological space. When the space is a complex algebraic variety, for instance the complex plane, and f is algebraic, one can compute a second number : the dynamical degree of f. This real number measures the exponential growth rate of the degrees of the formulas that one needs to write down the n-th iterate f^n, as n goes to infinity. I will describe those numbers, and their relationship. On our way, we shall meet Salem numbers and Pisot numbers, but not all of them... (based on a joint work with J. Blanc)

Room Reservation Information

Room Number:MB114
Date:09 / 30 / 2014
Time:02:30pm - 03:30pm