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Category :
Languages : en
Pages : 22
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Author:
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ISBN:
Category :
Languages : en
Pages : 22
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Author: Dave Witte Morris
Publisher: University of Chicago Press
ISBN: 9780226539836
Category : Mathematics
Languages : en
Pages : 224
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Book Description
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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Category :
Languages : en
Pages : 1444
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Category : Law reports, digests, etc
Languages : en
Pages : 1804
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ISBN:
Category : Law reports, digests, etc
Languages : en
Pages : 606
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Author: United States
Publisher:
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Category : Law
Languages : en
Pages : 1320
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Author: Xenophon Pearce Huddy
Publisher:
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Category : Automobiles
Languages : en
Pages : 1526
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Author: Mark S. Hamm
Publisher: DIANE Publishing
ISBN: 1437929591
Category : Political Science
Languages : en
Pages : 258
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Book Description
This is a print on demand edition of a hard to find publication. Examines terrorists¿ involvement in a variety of crimes ranging from motor vehicle violations, immigration fraud, and mfg. illegal firearms to counterfeiting, armed bank robbery, and smuggling weapons of mass destruction. There are 3 parts: (1) Compares the criminality of internat. jihad groups with domestic right-wing groups. (2) Six case studies of crimes includes trial transcripts, official reports, previous scholarship, and interviews with law enforce. officials and former terrorists are used to explore skills that made crimes possible; or events and lack of skill that the prevented crimes. Includes brief bio. of the terrorists along with descriptions of their org., strategies, and plots. (3) Analysis of the themes in closing arguments of the transcripts in Part 2. Illus.
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Category :
Languages : en
Pages : 1802
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