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.

*"synopsis" may belong to another edition of this title.*

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

*"About this title" may belong to another edition of this title.*

US$ 27.74

**Shipping:**
FREE

From United Kingdom to U.S.A.

Published by
The University of Chicago Press, United States
(2005)

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **The University of Chicago Press, United States, 2005. Paperback. Book Condition: New. New edition. Language: English . Brand New Book. 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. Bookseller Inventory # AAH9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
The University of Chicago Press, United States
(2005)

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **The University of Chicago Press, United States, 2005. Paperback. Book Condition: New. New edition. Language: English . Brand New Book. 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. Bookseller Inventory # AAH9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
Univ of Chicago

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Softcover
Quantity Available: 1

Seller:

Rating

**Book Description **Univ of Chicago. Book Condition: BRAND NEW. BRAND NEW Softcover A Brand New Quality Book from a Full-Time Bookshop in business since 1992!. Bookseller Inventory # 2547986

More Information About This Seller | Ask Bookseller a Question

Published by
University of Chicago press

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Quantity Available: > 20

Seller:

Rating

**Book Description **University of Chicago press. Book Condition: New. Brand New. Bookseller Inventory # 0226539849

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Quantity Available: 10

Seller:

Rating

**Book Description **2005. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # TX-9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
University of Chicago Press 2005-09-13, Chicago, Ill. :|Bristol
(2005)

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
paperback
Quantity Available: 1

Seller:

Rating

**Book Description **University of Chicago Press 2005-09-13, Chicago, Ill. :|Bristol, 2005. paperback. Book Condition: New. Bookseller Inventory # 9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
University of Chicago Press
(2005)

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Quantity Available: 2

Seller:

Rating

**Book Description **University of Chicago Press, 2005. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # WG-9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
University of Chicago Press

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **University of Chicago Press. Paperback. Book Condition: New. New copy - Usually dispatched within 2 working days. Bookseller Inventory # B9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
The University of Chicago Press, United States
(2005)

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **The University of Chicago Press, United States, 2005. Paperback. Book Condition: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # BTE9780226539843

More Information About This Seller | Ask Bookseller a Question

Published by
Univ of Chicago Pr
(2005)

ISBN 10: 0226539849
ISBN 13: 9780226539843

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **Univ of Chicago Pr, 2005. Paperback. Book Condition: Brand New. 203 pages. 8.75x6.00x0.75 inches. In Stock. Bookseller Inventory # __0226539849

More Information About This Seller | Ask Bookseller a Question