This unique volume contains a selection of more than 80 of Yuval Ne''eman''s papers, which represent his huge contribution to a large number of aspects of theoretical physics. The works span more than four decades, from unitary symmetry and quarks to questions of complexity in biological systems and evolution of scientific theories. In keeping with the major role Ne''eman has played in theoretical physics over the last 40 years, a collaboration of very distinguished scientists enthusiastically took part in this volume. Their commentary supplies a clear framework and background for appreciating Yuval Ne''eman''s significant discoveries and pioneering contributions. Contents: (Authors of Commentaries in Parentheses): SU(3), Quarks and Symmetry Breaking (Y Verbin); Algebraic Theory of Particle Physics and Spectrum Generating Algebras (N Cabibbo); Supersymmetry and Supergravity (R Kerner); Geometrization of Physics (T Regge); SU(2/1) Super-Unification of the Standard Model and Non Commutative Geometry (J Thierry-Mieg); Spinor Representations of GL ( N, P ) and Chromogravity (I Kirsch); Metric-Affine Gravity (F W Hehl); Strings, Branes and Other Extendons (Dj aijaiki); Various Topics in Astrophysics (J Bahcall); Foundations of Physics (A Botero); Philosophy and Sociology of Science: Evolution and History (J Rosen). Readership: Researchers in physics and mathematical physics, and scientists interested in history of physics and philosophy of science.
The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called “liftings.' This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,≤) in SL(4, ≤). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum.Applications include the study of the decomposition of the cohomology of an associated Shimura variety, thereby linking Galois representations to geometric automorphic representations.To put these results in a general context, the book concludes with a technical introduction to Langlands' program in the area of automorphic representations. It includes a proof of known cases of Artin's conjecture.
The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called OC liftingsOCO. This book concentrates on two initial examples: the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E/F) to GL(3, E), [E: F] = 2. The book develops the technique of comparison of twisted and stabilized trace formulae and considers the OC Fundamental LemmaOCO on orbital integrals of spherical functions. Comparison of trace formulae is simplified using OC regularOCO functions and the OC liftingOCO is stated and proved by means of character relations. This permits an intrinsic definition of partition of the automorphic representations of SL(2) into packets, and a definition of packets for U(3), a proof of multiplicity one theorem and rigidity theorem for SL(2) and for U(3), a determination of the self-contragredient representations of PGL(3) and those on GL(3, E) fixed by transpose-inverse-bar. In particular, the multiplicity one theorem is new and recent. There are applications to construction of Galois representations by explicit decomposition of the cohomology of Shimura varieties of U(3) using Deligne''s (proven) conjecture on the fixed point formula. Sample Chapter(s). Chapter 1: Functoriality and Norms (963 KB). Contents: On the Symmetric Square Lifting: Functoriality and Norms; Orbital Integrals; Twisted Trace Formula; Total Global Comparison; Applications of a Trace Formula; Computation of a Twisted Character; Automorphic Representations of the Unitary Group U(3, E/F): Local Theory; Trace Formula; Liftings and Packets; Zeta Functions of Shimura Varieties of U(3): Automorphic Representations; Local Terms; Real Representations; Galois Representations. Readership: Graduate students and researchers in number theory, algebra and representation theory.
Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.
Ten slaves—all under the age of 19—tell stories of enslavement, brutality, and dreams of freedom in this collection culled from full-length autobiographies. These accounts, selected to help teenagers relate to the horrific experiences of slaves their own age living in the not-so-distant past, include stories of young slaves torn from their mothers and families, suffering from starvation, and being whipped and tortured. But these are not all tales of deprivation and violence; teenagers will relate to accounts of slaves challenging authority, playing games, telling jokes, and falling in love. These stories cover the range of the slave experience, from the passage in slave ships across the Atlantic—and daily life as a slave both on large plantations and in small-city dwellings—to escaping slavery and fighting in the Civil War. The writings of Olaudah Equiano, Frederick Douglass, William Wells Brown, Harriet Jacobs, Elizabeth Keckley, and other lesser-known slaves are included.
The trace formula is the most powerful tool currently available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. The geometric part of the trace formula consists of orbital integrals, and the lifting is based on the fundamental lemma. The latter is an identity of the relevant orbital integrals for the unit elements of the Hecke algebras. This volume concerns a proof of the fundamental lemma in the classically most interesting case of Siegel modular forms, namely the symplectic group Sp(2). These orbital integrals are compared with those on GL(4), twisted by the transpose inverse involution. The technique of proof is elementary. Compact elements are decomposed into their absolutely semi-simple and topologically unipotent parts also in the twisted case; a double coset decomposition of the form H\ G/K--where H is a subgroup containing the centralizer--plays a key role.
Renaissance military memoirs studied for what they reveal of contemporary attitudes towards war, selfhood and identity. This is a study of autobiographical writings of Renaissance soldiers. It outlines the ways in which they reflect Renaissance cultural, political and historical consciousness, with a particular focus on conceptions of war, history, selfhood and identity. A vivid picture of Renaissance military life and military mentality emerges, which sheds light on the attitude of Renaissance soldiers both towards contemporary historical developments such as the rise of the modern state, and towards such issues as comradeship, women, honor, violence, and death. Comparison with similar medieval and twentieth-century material highlights the differences in the Renaissance soldier's understanding of war and of human experience.
Building Scalable Network Services: Theory and Practice is on building scalable network services on the Internet or in a network service provider's network. The focus is on network services that are provided through the use of a set of servers. The authors present a tiered scalable network service model and evaluate various services within this architecture. The service model simplifies design tasks by implementing only the most basic functionalities at lower tiers where the need for scalability dominates functionality. The book includes a number of theoretical results that are practical and applicable to real networks, such as building network-wide measurement, monitoring services, and strategies for building better P2P networks. Various issues in scalable system design and placement algorithms for service nodes are discussed. Using existing network services as well as potentially new but useful services as examples, the authors formalize the problem of placing service nodes and provide practical solutions for them.
More than three hundred previously unpublished texts from the Yale Babylonian Collection Yuval Levavi and Elizabeth E. Payne present 315 previously unpublished texts held in the Yale Babylonian Collection at the Yale Peabody Museum. The texts shed light on textile and metal workers in the Eanna temple in Uruk during the Neo-Babylonian Period, about 626 to 539 BCE. This volume of the Yale Oriental Series features a full edition of each text, including hand copies, transliterations, translations, and essential commentary, allowing unprecedented access to these primary sources.
During the past three decades, nations all over the world have been debating whether to allow same-sex couples to marry, or at least grant these couples various rights associated with marriage. In Equality for Same-Sex Couples, Yuval Merin presents the first comparative study of the legal regulation of same-sex partnerships worldwide, as well as a unique survey of the status of same-sex couples in Europe. Merin begins by providing a historical overview of the transformation of marriage from antiquity to the present. He then identifies and critically compares four principal models for the legal regulation and recognition of same-sex partnerships: civil marriage, registered partnership, domestic partnership, and cohabitation. Merin concludes that all of the models except civil marriage discriminate against gays and lesbians just as the "separate but equal" doctrine discriminated against African Americans; thus, so-called alternatives to marriage, even if they provide the same rights and benefits as marriage, are inherently unequal and therefore unconstitutional.
This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.
This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.
We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.
This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines. The central tools for estimating convergence times, including coupling, strong stationary times, and spectral methods, are developed. The authors discuss many examples, including card shuffling and the Ising model, from statistical mechanics, and present the connection of random walks to electrical networks and apply it to estimate hitting and cover times. The first edition has been used in courses in mathematics and computer science departments of numerous universities. The second edition features three new chapters (on monotone chains, the exclusion process, and stationary times) and also includes smaller additions and corrections throughout. Updated notes at the end of each chapter inform the reader of recent research developments.
The first edition of this popular book on particle physics received universal acclaim for its clear and readable style. In this second edition the authors have brought the subject right up to date, including the discovery of the 'top quark' and the search for the Higgs particle. The book is the result of a collaboration between a world-famous elementary particle physicist and a physicist specialising in popular science writing. Together they have produced a fascinating account of the search for the fundamental building blocks of matter. This lucid and entertaining accountwill fascinate anyone wishing to keep pace with this part of the progress of human knowledge, from scientifically educated general readers through to professional physicists.
The interest in membranes and higher dimensional extended geometrical objects was inspired by the great successes of the string and superstring, first in 1968-73 as a theory of hadrons and then since 1984 as a ?theory of everything? ? a unified theory of all interactions, including quantum gravity. In particular, membranes, ?supermembranes? and ?spinning membranes? have been studied since 1985; an unexpected connection with supergravity opened in 1988 some new prospects for a quantized theory. General theorems about higher dimensional ?p-branes? or ?extendons? were also derived. The subject is very promising, whether as a more comprehensive fundamental unification or as a description of composite hadrons.Where there are now probably some fifty texts of all kinds dealing with strings, this is the first treatise on membranes and higher dimensional extendons.
In The Particle Hunters, the authors give a non-technical account of the fascinating story of the search for the fundamental building blocks of matter. Beginning with the experiments of Thompson and Rutherford at the turn of the century, the book chronicles how physicists revealed layer upon layer of structure within the atom, and concludes with an up-to-date description of recent discoveries, including the 'charmed', 'beauty' and 'truth' quarks, the psi and upsilon particles, the tau lepton and the W and Z intermediate vector bosons, the carriers of the weak force. All that is required of the reader is a knowledge of a few basic concepts, such as energy, mass and electric charge. This lucid and entertaining exposition of the search for the ultimate 'elementary' particles, co-authored by a scientist who himself was responsible for many of the major steps forward in the field, will interest anyone wishing to keep pace with the progress of human knowledge, from the scientifically educated general reader, through to the professional physicist.
Official U.S. edition with full color illustrations throughout. NEW YORK TIMES BESTSELLER Yuval Noah Harari, author of the critically-acclaimed New York Times bestseller and international phenomenon Sapiens, returns with an equally original, compelling, and provocative book, turning his focus toward humanity’s future, and our quest to upgrade humans into gods. Over the past century humankind has managed to do the impossible and rein in famine, plague, and war. This may seem hard to accept, but, as Harari explains in his trademark style—thorough, yet riveting—famine, plague and war have been transformed from incomprehensible and uncontrollable forces of nature into manageable challenges. For the first time ever, more people die from eating too much than from eating too little; more people die from old age than from infectious diseases; and more people commit suicide than are killed by soldiers, terrorists and criminals put together. The average American is a thousand times more likely to die from binging at McDonalds than from being blown up by Al Qaeda. What then will replace famine, plague, and war at the top of the human agenda? As the self-made gods of planet earth, what destinies will we set ourselves, and which quests will we undertake? Homo Deus explores the projects, dreams and nightmares that will shape the twenty-first century—from overcoming death to creating artificial life. It asks the fundamental questions: Where do we go from here? And how will we protect this fragile world from our own destructive powers? This is the next stage of evolution. This is Homo Deus. With the same insight and clarity that made Sapiens an international hit and a New York Times bestseller, Harari maps out our future.
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