 |
|
|
Item Details
| Title:
|
RATNER'S THEOREMS ON UNIPOTENT FLOWS
|
| By: |
Dave Witte Morris |
| Format: |
Paperback |
| List price:
|
£26.00 |
| Our price: |
£23.40 |
| Discount: |
|
| You save:
|
£2.60 |
|
|
|
|
|
| ISBN 10: |
0226539849 |
| ISBN 13: |
9780226539843 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
|
| Stock: |
Currently 0 available |
| Publisher: |
THE UNIVERSITY OF CHICAGO PRESS |
| Pub. date: |
15 August, 2005 |
| Series: |
Chicago Lectures in Mathematics |
| Pages: |
203 |
| Description: |
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. |
| Synopsis: |
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. |
| Publication: |
US |
| Imprint: |
University of Chicago Press |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
Little Worried Caterpillar (PB)
Little Green knows she''s about to make a big change - transformingfrom a caterpillar into a beautiful butterfly. Everyone is VERYexcited! But Little Green is VERY worried. What if being a butterflyisn''t as brilliant as everyone says?Join Little Green as she finds her own path ... with just a littlehelp from her friends.
|
|
All the Things We Carry PB
What can you carry?A pebble? A teddy? A bright red balloon? A painting you''ve made?A hope or a dream?This gorgeous, reassuring picture book celebrates all the preciousthings we can carry, from toys and treasures to love and hope. With comforting rhymes and fabulous illustrations, this is a warmhug of a picture book.
|
|
|
|