Andrew Dykstra, assistant professor of mathematics, recently published an article in Journal d'Analyse Mathematique. The article is joint work with Dan Rudolph and is titled "Any two irrational rotations are nearly continuously Kakutani equivalent."
In addition to introducing a brand new construction in ergodic theory, their work sheds new light on irrational circle rotations. Their work is part of a recent push to understand dynamical systems that have both measurable and topological structure simultaneously. The study of systems like this is called "measured topological dynamics" and is among the most significant new areas of study in ergodic theory.
In addition to introducing a brand new construction in ergodic theory, their work sheds new light on irrational circle rotations. Their work is part of a recent push to understand dynamical systems that have both measurable and topological structure simultaneously. The study of systems like this is called "measured topological dynamics" and is among the most significant new areas of study in ergodic theory.
