Levich Institute Seminar Announcement, Tuesday, 12/03/2019
Steinman Hall, Room #312
(Chemical Engineering Conference Room)
Professor Michael Shub
City College of CUNY, Mathematics Department
“Chaos and Homology“
Algebraic topology associates some matrices to a smooth discrete dynamical system. The logs of the moduli of the eigenvalues of these matrices provide a lower bound for the entropy. As the matrices are very robust, they don’t change under homotopy of the dynamics, they give a robust, quantitative estimate of the chaos. I will discuss some history, examples and open problems. I hope that this might be interesting to physicists at least on a philosophical level.
BRIEF ACADEMIC/EMPLOYMENT HISTORY:
MOST RECENT RESEARCH INTERESTS:
Entropy conjecture in low smoothness, smooth periodic point growth, random versus deterministic exponents in linear algebra.