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Author : Abhay Ashtekar
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.F/5 ( download)
Download or read book Asymptotic Quantization written by Abhay Ashtekar and published by . This book was released on 1987 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masahito Hayashi
Publisher : World Scientific
ISBN 13 : 981448198X
Total Pages : 553 pages
Book Rating : 4.8/5 (144 download)
Download or read book Asymptotic Theory Of Quantum Statistical Inference: Selected Papers written by Masahito Hayashi and published by World Scientific. This book was released on 2005-02-21 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.
Author : Siegfried Graf
Publisher : Springer
ISBN 13 : 3540455779
Total Pages : 238 pages
Book Rating : 4.5/5 (44 download)
Download or read book Foundations of Quantization for Probability Distributions written by Siegfried Graf and published by Springer. This book was released on 2007-05-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these applications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabilities (surface measures, self-similar measures) presenting some new results for the first time. Written for researchers and graduate students in probability theory the monograph is of potential interest to all people working in the disciplines mentioned above.
Author : Dennis Hui
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Performance and Complexity of Quantization written by Dennis Hui and published by . This book was released on 1998 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Calderbank, G. David Forney, Jr., and Nader Moayeri
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870600
Total Pages : 298 pages
Book Rating : 4.8/5 (76 download)
Download or read book Coding and Quantization written by Robert Calderbank, G. David Forney, Jr., and Nader Moayeri and published by American Mathematical Soc.. This book was released on with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the DIMACS/IEEE workshop on coding and quantization. The theme of the workshop was the application of discrete mathematics to reliable data transmission and source compression. These applications will become more significant in the coming years, with the advent of high capacity cellular networks, personal communications devices, and the ``wireless office''. The articles are written by experts from industry and from academia. Requiring only a background in basic undergraduate mathematics, this book appeals to mathematicians interested in multidimensional Euclidean geometry (especially lattice theory), as well as to engineers interested in bandwidth efficient communication or vector quantization.
Author : Thomas Villmann
Publisher : Springer Nature
ISBN 13 : 3031671597
Total Pages : 240 pages
Book Rating : 4.0/5 (316 download)
Download or read book Advances in Self-Organizing Maps, Learning Vector Quantization, Interpretable Machine Learning, and Beyond written by Thomas Villmann and published by Springer Nature. This book was released on with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir E. Nazaikinskii
Publisher : CRC Press
ISBN 13 : 9780415273640
Total Pages : 372 pages
Book Rating : 4.2/5 (736 download)
Download or read book Quantization Methods in the Theory of Differential Equations written by Vladimir E. Nazaikinskii and published by CRC Press. This book was released on 2002-05-16 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and research-level readers.
Author : Robert M. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 146131643X
Total Pages : 197 pages
Book Rating : 4.4/5 (613 download)
Download or read book Source Coding Theory written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Source coding theory has as its goal the characterization of the optimal performance achievable in idealized communication systems which must code an information source for transmission over a digital communication or storage channel for transmission to a user. The user must decode the information into a form that is a good approximation to the original. A code is optimal within some class if it achieves the best possible fidelity given whatever constraints are imposed on the code by the available channel. In theory, the primary constraint imposed on a code by the channel is its rate or resolution, the number of bits per second or per input symbol that it can transmit from sender to receiver. In the real world, complexity may be as important as rate. The origins and the basic form of much of the theory date from Shan non's classical development of noiseless source coding and source coding subject to a fidelity criterion (also called rate-distortion theory) [73] [74]. Shannon combined a probabilistic notion of information with limit theo rems from ergodic theory and a random coding technique to describe the optimal performance of systems with a constrained rate but with uncon strained complexity and delay. An alternative approach called asymptotic or high rate quantization theory based on different techniques and approx imations was introduced by Bennett at approximately the same time [4]. This approach constrained the delay but allowed the rate to grow large.
Author : Bernd G. Schmidt
Publisher : Springer
ISBN 13 : 3540465804
Total Pages : 443 pages
Book Rating : 4.5/5 (44 download)
Download or read book Einstein’s Field Equations and Their Physical Implications written by Bernd G. Schmidt and published by Springer. This book was released on 2008-01-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.
Author : Mihail Vladimirovi_ Karasev
Publisher : American Mathematical Soc.
ISBN 13 : 0821887963
Total Pages : 382 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Poisson Brackets written by Mihail Vladimirovi_ Karasev and published by American Mathematical Soc.. This book was released on 2012-06-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems are progressively coming to the fore in the modern theory of differential equations and quantum theory, since the approach based on constructions of algebras and Lie groups seems, in a certain sense, to be exhausted. The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modern differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.
Author : Mikhail Vladimirovich Karasev
Publisher : American Mathematical Soc.
ISBN 13 : 9780821845967
Total Pages : 384 pages
Book Rating : 4.8/5 (459 download)
Download or read book Nonlinear Poisson Brackets written by Mikhail Vladimirovich Karasev and published by American Mathematical Soc.. This book was released on 1993 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems are progressively coming to the fore in the modern theory of differential equations and quantum theory, since the approach based on constructions of algebras and Lie groups seems, in a certain sense, to be exhausted. The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modern differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.
Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 3662067935
Total Pages : 291 pages
Book Rating : 4.6/5 (62 download)
Download or read book Dynamical Systems IV written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field.
Author : Svetlozar T. Rachev
Publisher : Springer Science & Business Media
ISBN 13 : 0817681809
Total Pages : 438 pages
Book Rating : 4.8/5 (176 download)
Download or read book Handbook of Computational and Numerical Methods in Finance written by Svetlozar T. Rachev and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap between financial theory and computational practice, and provide solutions for complex problems that are difficult to solve by traditional analytical methods. Although numerical methods in finance have been studied intensively in recent years, many theoretical and practical financial aspects have yet to be explored. This volume presents current research and survey articles focusing on various numerical methods in finance. The book is designed for the academic community and will also serve professional investors.
Author : Mikhail Vladimirovich Karasev
Publisher : American Mathematical Soc.
ISBN 13 : 9780821811788
Total Pages : 376 pages
Book Rating : 4.8/5 (117 download)
Download or read book Coherent Transform, Quantization and Poisson Geometry written by Mikhail Vladimirovich Karasev and published by American Mathematical Soc.. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume copntains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.
Author : Dean Rickles
Publisher : Clarendon Press
ISBN 13 : 0191515027
Total Pages : 288 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Structural Foundations of Quantum Gravity written by Dean Rickles and published by Clarendon Press. This book was released on 2006-11-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum gravity is the name given to a theory that unites general relativity - Einstein's theory of gravitation and spacetime - with quantum field theory, our framework for describing non-gravitational forces. The Structural Foundations of Quantum Gravity brings together philosophers and physicists to discuss a range of conceptual issues that surface in the effort to unite these theories, focusing in particular on the ontological nature of the spacetime that results. Although there has been a great deal written about quantum gravity from the perspective of physicists and mathematicians, very little attention has been paid to the philosophical aspects. This volume closes that gap, with essays written by some of the leading researchers in the field. Individual papers defend or attack a structuralist perspective on the fundamental ontologies of our physical theories, which offers the possibility of shedding new light on a number of foundational problems. It is a book that will be of interest not only to physicists and philosophers of physics but to anyone concerned with foundational issues and curious to explore new directions in our understanding of spacetime and quantum physics.
Author : James C. Candy
Publisher : John Wiley & Sons
ISBN 13 : 0879422858
Total Pages : 518 pages
Book Rating : 4.8/5 (794 download)
Download or read book Oversampling Delta-Sigma Data Converters written by James C. Candy and published by John Wiley & Sons. This book was released on 1991-09-02 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This now famous anthology brings together various aspects of oversampling methods and compares and evaluates design approaches. It describes the theoretical analysis of converter performances, the actual design of converters and their simulation, circuit implementations, and applications.
Author : Anne Magnon
Publisher : World Scientific
ISBN 13 : 9814497800
Total Pages : 311 pages
Book Rating : 4.8/5 (144 download)
Download or read book Arrow Of Time And Reality: In Search Of A Conciliation written by Anne Magnon and published by World Scientific. This book was released on 1997-12-04 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Reality? What is the role of human consciousness in the shaping of such a concept? These questions are as old as mankind and gave rise to the MIND-MATTER dualism which preoccupied so many physicists: Schrödinger, Wigner, etc. This book considers the problem within the realm of contemporary physics, and shows that it could be related to that of ultimate entities. The author develops the viewpoint according to which human thinking activities are fruit of the Cosmos and of its combinatorial activity. Ultimate entities, the bricks out of which our universe is made, could be hidden, as a primordial alphabet, in the foundations of the pyramid of increasing complexity, which seems to unfold as a language and to culminate in the emergence of organized and thinking structures. This is analyzed in the context of cosmological screening and horizons (an expression of our lack of access to totality) where macroscopic and microscopic can mingle, where a unification of interactions and a matching of available arrows of time can take place. This context is also that of quantum evaporation of particle-antiparticle like entities, which triggers entropy increase, and of the overlap between General Relativity and Quantum Mechanics. The problem of an (global) origin of the cruising (and evanescent) “Now” is considered. A creative principle (reminiscent of the biological mitosis) is also presented which is the generator of the “event” through breaking of temporal symmetry. In this perspective, time-flow is an emergent concept: Creation of the World is declined priority on the concept of “coming into existence”. Participant to the origin of the World, all (possibly virtual) processes are able to culminate into the phenomenon of consciousness and Self-Awareness.
