Modules over Non-Noetherian Domains

Modules over Non-Noetherian Domains
Author: László Fuchs
Publisher: American Mathematical Soc.
Total Pages: 633
Release: 2001
Genre: Mathematics
ISBN: 0821819631
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In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prüfer domains, but also discuss Krull and Matlis domains, h-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.

Notes on Seiberg-Witten Theory

Notes on Seiberg-Witten Theory
Author: Liviu I. Nicolaescu
Publisher: American Mathematical Soc.
Total Pages: 504
Release: 2000
Genre: Mathematics
ISBN: 0821821458
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After background on elliptic equations, Clifford algebras, Dirac operators, and Fredholm theory, chapters introduce solutions of the Seiberg-Witten equations and the group of gauge transformations, then look at algebraic surfaces. A final chapter presents in great detail a cut-and-paste technique for computing Seiberg-Witten invariants, covering elliptic equations on manifolds with cylindrical ends, finite energy monopoles on cylindrical manifolds, local and global properties of the moduli spaces of finite energy monopoles, and the process of reconstructing the space of monopoles on a 4-manifold decomposed into several parts by a hypersurface. Annotation copyrighted by Book News, Inc., Portland, OR.

Kolmogorov in Perspective

Kolmogorov in Perspective
Author:
Publisher: American Mathematical Soc.
Total Pages: 242
Release: 2000
Genre: Mathematicians
ISBN: 0821829181
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The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. The articles combine to give an excellent personal and scientific biography of this important mathematician. There is also an extensive bibliography with the complete list of Kolmogorov's work.

An Introduction to Superprocesses

An Introduction to Superprocesses
Author: Alison Etheridge
Publisher: American Mathematical Soc.
Total Pages: 201
Release: 2000
Genre: Mathematics
ISBN: 0821827065
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Over the past 20 years, the study of superprocesses has expanded into a major industry and can now be regarded as a central theme in modern probability theory. This book is intended as a rapid introduction to the subject, geared toward graduate students and researchers in stochastic analysis. A variety of different approaches to the superprocesses emerged over the last ten years. Yet no one approach superseded any others. In this book, readers are exposed to a number of different ways of thinking about the processes, and each is used to motivate some key results. The emphasis is on why results are true rather than on rigorous proof. Specific results are given, including extensive references to current literature for their general form.

Understanding the City Through Its Margins

Understanding the City Through Its Margins
Author: André Chappatte
Publisher: Routledge
Total Pages: 0
Release: 2018
Genre: Marginality, Social
ISBN: 9781138045897
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Cover -- Title -- Copyright -- Contents -- List of Illustrations -- Notes on Contributors -- Acknowledgements -- 1 The city and its regulations: Unexpected margins -- Part I Space and state regulation: The urban interstices -- 2 Markets and marginality in Beirut -- 3 The tremendous making and unmaking of the peripheries in current Istanbul -- 4 Resilient forms of urbanity on the margins? Al-Kherba: A vivid market in a damaged section of the medina of Tunis -- 5 Whose margins? Marginality, poverty and the moral geography of pre-Soviet Bukhara -- 6 On the margins of the city: Izmir Prison in the late Ottoman Empire -- Part II Diversity and moral policing: Making claims through marginalisation -- 7 'Texas': An off-centre district at the heart of nightlife in Odienné -- 8 The Manyema in colonial Dar es Salaam (Tanzania) between urban margins and regional connections -- 9 On the margins: Suburban space and religious deviancy in Jakarta and Kuala Lumpur -- 10 Ethnic differentiation and conflict dynamics: Uzbeks' marginalisation and non-marginalisation in southern Kyrgyzstan -- Index

Tree Lattices

Tree Lattices
Author: Hyman Bass
Publisher: Springer Science & Business Media
Total Pages: 239
Release: 2012-12-06
Genre: Mathematics
ISBN: 146122098X
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This monograph extends this approach to the more general investigation of X-lattices, and these "tree lattices" are the main object of study. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of non-uniform tree lattices, including some fundamental and recently proved existence theorems. Tree Lattices should be a helpful resource to researchers in the field, and may also be used for a graduate course on geometric methods in group theory.

Stochastics in Finite and Infinite Dimensions

Stochastics in Finite and Infinite Dimensions
Author: Takeyuki Hida
Publisher: Springer Science & Business Media
Total Pages: 436
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461201675
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During the last fifty years, Gopinath Kallianpur has made extensive and significant contributions to diverse areas of probability and statistics, including stochastic finance, Fisher consistent estimation, non-linear prediction and filtering problems, zero-one laws for Gaussian processes and reproducing kernel Hilbert space theory, and stochastic differential equations in infinite dimensions. To honor Kallianpur's pioneering work and scholarly achievements, a number of leading experts have written research articles highlighting progress and new directions of research in these and related areas. This commemorative volume, dedicated to Kallianpur on the occasion of his seventy-fifth birthday, will pay tribute to his multi-faceted achievements and to the deep insight and inspiration he has so graciously offered his students and colleagues throughout his career. Contributors to the volume: S. Aida, N. Asai, K. B. Athreya, R. N. Bhattacharya, A. Budhiraja, P. S. Chakraborty, P. Del Moral, R. Elliott, L. Gawarecki, D. Goswami, Y. Hu, J. Jacod, G. W. Johnson, L. Johnson, T. Koski, N. V. Krylov, I. Kubo, H.-H. Kuo, T. G. Kurtz, H. J. Kushner, V. Mandrekar, B. Margolius, R. Mikulevicius, I. Mitoma, H. Nagai, Y. Ogura, K. R. Parthasarathy, V. Perez-Abreu, E. Platen, B. V. Rao, B. Rozovskii, I. Shigekawa, K. B. Sinha, P. Sundar, M. Tomisaki, M. Tsuchiya, C. Tudor, W. A. Woycynski, J. Xiong.

Collected Papers of K.T. Chen

Collected Papers of K.T. Chen
Author: Kuo-Tsai Chen
Publisher: Springer Science & Business Media
Total Pages: 776
Release: 2001-06-21
Genre: Mathematics
ISBN: 9780817640057
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Kuo-Tsai Chen (1923-1987) is best known to the mathematics community for his work on iterated integrals and power series connections in conjunction with his research on the cohomology of loop spaces. His work is intimately related to the theory of minimal models as developed by Dennis Sullivan, whose own work was in part inspired by the research of Chen. An outstanding and original mathematician, Chen's work falls naturally into three periods: his early work on group theory and links in the three sphere; his subsequent work on formal differential equations, which gradually developed into his most powerful and important work; and his work on iterated integrals and homotopy theory, which occupied him for the last twenty years of his life. The goal of Chen's iterated integrals program, which is a de Rham theory for path spaces, was to study the interaction of topology and analysis through path integration. The present volume is a comprehensive collection of Chen's mathematical publications preceded by an article, "The Life and Work of Kuo-Tsai Chen," placing his work and research interests into their proper context and demonstrating the power and scope of his influence.