Böcker av Dave Witte Morris

The theorems of Marina Ratner have guided key advances in understanding dynamical systems. Here, the author offers an introduction to these theorems and an account of the proof of Ratner's measure classification theorem. This is a collection of lecture notes aimed at graduate students and brings these theorems to a broader mathematical readership.

The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques. This book provides an introduction to some of the important methods, major developments, and open problems on the subject.