Ratner's Theorems On Unipotent Flows 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Ratner's Theorems On Unipotent Flows

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Morris, Dave Witte 作者
Univ of Chicago Pr
譯者
2005-8 出版日期
203 頁數
$ 61.02 價格
HRD
Chicago Lectures in Mathematics 叢書系列
9780226539836 圖書編碼

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Ratner's Theorems On Unipotent Flows 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Ratner's Theorems On Unipotent Flows 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Ratner's Theorems On Unipotent Flows 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Ratner's Theorems On Unipotent Flows 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Ratner's Theorems On Unipotent Flows 在線電子書 圖書描述

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.

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