Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday

Author: Fritz Gesztesy

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 466

ISBN-13: 0821842498

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This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.

Cohomological and Geometric Approaches to Rationality Problems
Cohomological and Geometric Approaches to Rationality Problems

Author: Fedor Bogomolov

Publisher: Springer Science & Business Media

Published: 2009-11-03

Total Pages: 316

ISBN-13: 0817649344

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Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov

The Mathematics of Voting and Elections: A Hands-On Approach
The Mathematics of Voting and Elections: A Hands-On Approach

Author: Jonathan K. Hodge

Publisher: American Mathematical Soc.

Published: 2018-10-01

Total Pages: 255

ISBN-13: 1470442876

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The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.

2012 4th International Conference on Cyber Conflict (CYCON 2012)
2012 4th International Conference on Cyber Conflict (CYCON 2012)

Author:

Publisher:

Published: 2012

Total Pages: 0

ISBN-13: 9781467312707

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Legal implications of territorial sovereignty in cyberspace / Wollff Heintschel von Heinegg -- When "Not my problem" isn't enough: political neutrality and national responsibility in cyber conflict / Jason Healey -- Neutrality in cyberspace / Wolff Heintschel von Heinegg -- Impact of cyberspace on human rights and democracy / Vittorio Fanchiotti, Jean Paul Pierini -- Russia's public stance on cyber/information warfare / Keir Giles -- French cyberdefense policy / Patrice Tromparent -- A treaty for governing cyber-weapons: potential benefits and practical limitations / Louise Arimatsu -- Internet as a critical infrastructure: a framework for the measurement of maturity and awareness in the cyber sphere / Assaf Y. Keren, Keren Elazari -- The significance of attribution to cyberspace coercion: a political perspective / Forrest Hare -- The militarisation of cyberspace: why less may be better / Myriam Dunn Cavelty -- Beyond domains, beyond commons: the context and theory of conflict in cyberspace / Jeffrey L. Caton -- Applying traditional military principles to cyber warfare / Samuel Liles, J. Eric Dietz, Marcus Rogers, Dean Larson -- The principle of maneuver in cyber operations / Scott D. Applegate -- Countering the offensive advantage in cyberspace: an integrated defensive strategy / David T. Fahrenkrug -- An analysis for a just cyber warfare / Mariarosaria Taddeo -- Socially engineered commoners as cyber warriors: Estonian future or present? / Birgy Lorenz, Kaido Kikkas -- The notion of combatancy in cyber warfare / Sean Watts -- Direct participation in cyber hostilities: terms of reference for like-minded states? / Jody Prescott -- Attack trends in present computer networks / Robert Koch, Björn Stelte, Mario Golling -- "Attack" as a term of art in international law: the cyber operations context / Michael N. Schmitt -- Ius ad bellum in cyberspace: some thoughts on the "Schmitt-criteria" for use of force / Katharina Ziolkowski --The "Use of force" in cyberspace: a reply to Dr. Ziolkowski / Michael N. Schmitt -- A methodology for cyber operations targeting and control of collateral damage in the context of lawful armed conflict / Robert Fanelli, Gregory Conti -- Command and control of cyber weapons / Enn Tyugu -- A case study on the Miner botnet / Daniel Plohmann, Elmar Gerhards-Padilla -- Natural privacy preservation protocol for electronic mail / Kim Hartmann, Christoph Steup -- Paradigm change of vehicle cyber-security / Hiro Onishi -- Sensing for suspicion at scale: a Bayesian approach for cyber conflict attribution and reasoning / Harsha K. Kalutarage, Siraj A. Shaikh, Qin Zhou, Anne E. James -- The role of COTS products for high security systems / Robert Koch, Gabi Dreo Rodosek -- Conceptual framework for cyber defense information sharing within trust relationships / Diego Fernández Vázquez, Oscar Pastor Acosta, Christopher Spirito, Sarah Brown, Emily Reid

Computer–Assisted Research in the Humanities
Computer–Assisted Research in the Humanities

Author: Joseph Raben

Publisher: Elsevier

Published: 2014-05-18

Total Pages: 260

ISBN-13: 1483148807

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Computer-Assisted Research in the Humanities describes various computer-assisted research in the humanities and related social sciences. It is a compendium of data collected between November 1966 and May 1972 and published in Computer and the Humanities. The book begins with an analysis of language teaching texts including the DOVACK system, a program used for remedial reading instruction. It then discusses the objectives, types of computer used, and status of the Bibliographic On-line Display (BOLD), semiotic systems, augmented human intellect program, automatic indexing, and similar research. The remaining chapters present computer-assisted research on language and literature, philosophy, social sciences, and visual arts. Students who seek a single reference work for computer-assisted research in the humanities will find this book useful.

Schrödinger Operators
Schrödinger Operators

Author: Hans L. Cycon

Publisher: Springer Science & Business Media

Published: 1987

Total Pages: 337

ISBN-13: 3540167587

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Are you looking for a concise summary of the theory of Schrödinger operators? Here it is. Emphasizing the progress made in the last decade by Lieb, Enss, Witten and others, the three authors don’t just cover general properties, but also detail multiparticle quantum mechanics – including bound states of Coulomb systems and scattering theory. This corrected and extended reprint contains updated references as well as notes on the development in the field over the past twenty years.

D-Modules, Perverse Sheaves, and Representation Theory
D-Modules, Perverse Sheaves, and Representation Theory

Author: Ryoshi Hotta

Publisher: Springer Science & Business Media

Published: 2007-11-07

Total Pages: 408

ISBN-13: 081764363X

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D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

The Cauchy Transform
The Cauchy Transform

Author: Joseph A. Cima

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 286

ISBN-13: 0821838717

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The Cauchy transform of a measure on the circle is a subject of both classical and current interest with a sizable literature. This book is a thorough, well-documented, and readable survey of this literature and includes full proofs of the main results of the subject. This book also covers more recent perturbation theory as covered by Clark, Poltoratski, and Aleksandrov and contains an in-depth treatment of Clark measures.

Sparks of Life
Sparks of Life

Author: James E. Strick

Publisher: Harvard University Press

Published: 2009-06-01

Total Pages: 297

ISBN-13: 0674044088

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How, asks James E. Strick, could spontaneous generation--the idea that living things can suddenly arise from nonliving materials--come to take root for a time (even a brief one) in so thoroughly unsuitable a field as British natural theology? No less an authority than Aristotle claimed that cases of spontaneous generation were to be observed in nature, and the idea held sway for centuries. Beginning around the time of the Scientific Revolution, however, the doctrine was increasingly challenged; attempts to prove or disprove it led to important breakthroughs in experimental design and laboratory techniques, most notably sterilization methods, that became the cornerstones of modern microbiology and sped the ascendancy of the germ theory of disease. The Victorian debates, Strick shows, were entwined with the public controversy over Darwin's theory of evolution. While other histories of the debates between 1860 and 1880 have focused largely on the experiments of John Tyndall, Henry Charlton Bastian, and others, Sparks of Life emphasizes previously understudied changes in the theories that underlay the debates. Strick argues that the disputes cannot be understood without full knowledge of the factional infighting among Darwinians themselves, as they struggled to create a socially and scientifically viable form of Darwinian science. He shows that even the terms of the debate, such as biogenesis, usually but incorrectly attributed to Huxley, were intensely contested.