Korepin Festschrift, The: From Statistical Mechanics To Quantum Information Science - A Collection Of Articles Written In Honor Of The 60th Birthday Of Vladimir Korepin
Korepin Festschrift, The: From Statistical Mechanics To Quantum Information Science - A Collection Of Articles Written In Honor Of The 60th Birthday Of Vladimir Korepin

Author: Leong-chuan Kwek

Publisher: World Scientific

Published: 2013-06-11

Total Pages: 238

ISBN-13: 9814460338

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This volume mainly summarizes the invited talks presented at the 5th Asia-Pacific Workshop on Quantum Information Science (APWQIS) in conjunction with a Festschrift in honor of Professor Vladimir Korepin's 60th birthday. In this Festschrift, we have assembled a medley of interesting articles from some of his friends, well-wishers and collaborators. Comprising both reviews of the state-of-the-art and the latest results, this book covers various aspects of quantum information science, including topics like quantum discord, quantum computing, quantum entanglement, etc.

Boltzmann's Legacy
Boltzmann's Legacy

Author: Jakob Yngvason

Publisher: European Mathematical Society

Published: 2008

Total Pages: 288

ISBN-13: 9783037190579

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Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.

Vertex Algebras for Beginners
Vertex Algebras for Beginners

Author: Victor G. Kac

Publisher: American Mathematical Soc.

Published: 1998

Total Pages: 209

ISBN-13: 082181396X

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Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conformal field theory. It includes material on the foundations of a rapidly growing area of algebraic conformal theory.

Algebraic Geometry 1
Algebraic Geometry 1

Author: Kenji Ueno

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 178

ISBN-13: 0821808621

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By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties.

Classical Galois Theory with Examples
Classical Galois Theory with Examples

Author: Lisl Gaal

Publisher: American Mathematical Soc.

Published: 1998

Total Pages: 258

ISBN-13: 0821813757

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Galois theory is one of the most beautiful subjects in mathematics, but it is heard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout the text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory. This book is intended for beginning graduate students who already have some background in algebra, including some elementary theoryof groups, rings and fields. The expositions and proofs are intended to present Galois theory in as simple a manner as possible, sometimes at the expense of brevity. The book is for students and intends to make them take an active part in mathematics rather than merely read, nod their heads atappropriate places, skip the exercises, and continue on to the next section.

Perplexing Problems in Probability
Perplexing Problems in Probability

Author: Harry Kesten

Publisher: Springer Science & Business Media

Published: 1999-11

Total Pages: 416

ISBN-13: 9780817640934

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Harry Kesten has had a profound influence on probability theory for over thirty years. To honor his achievements, and to highlight important directions for future research, a number of prominent probabilists have written survey articles on a wide variety of active areas of contemporary probability, many of which are closely related to Kesten's work. This festschrift volume is an expression of appreciation and a demonstration of the depth and breadth of his ideas.

Geometric Models for Noncommutative Algebras
Geometric Models for Noncommutative Algebras

Author: Ana Cannas da Silva

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 202

ISBN-13: 9780821809525

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The volume is based on a course, ``Geometric Models for Noncommutative Algebras'' taught by Professor Weinstein at Berkeley. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this work, the authors discuss several types of geometric objects (in the usual sense of sets with structure) that are closely related to noncommutative algebras. Central to the discussion are symplectic and Poisson manifolds, which arise when noncommutative algebras are obtained by deforming commutative algebras. The authors also give a detailed study of groupoids (whose role in noncommutative geometry has been stressed by Connes) as well as of Lie algebroids, the infinitesimal approximations to differentiable groupoids. Featured are many interesting examples, applications, and exercises. The book starts with basic definitions and builds to (still) open questions. It is suitable for use as a graduate text. An extensive bibliography and index are included.

Methods of Algebraic Geometry in Control Theory: Part I
Methods of Algebraic Geometry in Control Theory: Part I

Author: Peter Falb

Publisher: Springer

Published: 2018-08-25

Total Pages: 211

ISBN-13: 3319980262

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"An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction. The student will find here a clear presentation with an applied flavor, of the core ideas in the algebra-geometric treatment of scalar linear system theory. The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry). Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." —Monatshefte für Mathematik