Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem (eBook)

Anatole Katok, Viorel Nitica (Autoren)

eBook Download: PDF

2011 | 1. Auflage
Cambridge University Press (Verlag)
978-1-139-08897-8 (ISBN)

Infos

There are three general models of Supreme Court decision making: the legal model, the attitudinal model and the strategic model. But each is somewhat incomplete. This book advances an integrated model of Supreme Court decision making that incorporates variables from each of the three models. In examining the modern Supreme Court, since Brown v. Board of Education, the book argues that decisions are a function of the sincere preferences of the justices, the nature of precedent, and the development of the particular issue, as well as separation of powers and the potential constraints posed by the president and Congress. To test this model, the authors examine all full, signed civil liberties and economic cases decisions in the 1953-2000 period. Decision Making by the Modern Supreme Court argues, and the results confirm, that judicial decision making is more nuanced than the attitudinal or legal models have argued in the past.

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This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems.

Produkt-Details

• Erscheint lt. Verlag: 16.6.2011
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Sozialwissenschaften ► Politik / Verwaltung
• ISBN-10: 1-139-08897-1 / 1139088971
• ISBN-13: 978-1-139-08897-8 / 9781139088978