Cart
Free Shipping on all orders in Australia
Over 7 million books in stock
We aim to be carbon neutral by 2022
Ratner's Theorems on Unipotent Flows By Dave Witte Morris

Ratner's Theorems on Unipotent Flows by Dave Witte Morris

Condition - New
$61.29
Only 1 left

Summary

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.

Ratner's Theorems on Unipotent Flows Summary

Ratner's Theorems on Unipotent Flows by Dave Witte Morris

The theorems of Berkeley mathematician, Marina Ratner have guided key advances in the understanding of dynamical systems. Unipotent flows are well-behaved dynamical systems, and Ratner has shown that the closure of every orbit for such a flow is of a simple algebraic or geometric form. In "Ratner's Theorems on Unipotent Flows", Dave Witte Morris provides both an elementary introduction to these theorems and an account of the proof of Ratner's measure classification theorem. A collection of lecture notes aimed at graduate students, the first four chapters of "Ratner's Theorems on Unipotent Flows" can be read independently. The first chapter, intended for a fairly general audience, provides an introduction with examples that illustrate the theorems, some of their applications, and the main ideas involved in the proof. In the following chapters, Morris introduces entropy, ergodic theory, and the theory of algebraic groups. The book concludes with a proof of the measure-theoretic version of Ratner's Theorem. With new material that has never before been published in book form, "Ratner's Theorems on Unipotent Flows" helps bring these important theorems to a broader mathematical readership.

About Dave Witte Morris

Dave Witte Morris is professor of mathematics at the University of Lethbridge.

Additional information

NGR9780226539843
9780226539843
0226539849
Ratner's Theorems on Unipotent Flows by Dave Witte Morris
New
Paperback
The University of Chicago Press
2005-08-15
203
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Ratner's Theorems on Unipotent Flows