Quantum Probability and Related Topics

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Publisher : World Scientific
ISBN 13 : 9789810211400
Total Pages : 390 pages
Book Rating : 4.2/5 (114 download)

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Book Synopsis Quantum Probability and Related Topics by : L. Accardi

Download or read book Quantum Probability and Related Topics written by L. Accardi and published by World Scientific. This book was released on 1993 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Probability and Related Topics is a series of volumes based on material discussed at the various QP conferences. It aims to provide an update on the rapidly growing field of classical probability, quantum physics and functional analysis.

Infinite Dimensional Stochastic Analysis

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Publisher : World Scientific
ISBN 13 : 9812779558
Total Pages : 257 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Infinite Dimensional Stochastic Analysis by : Hui-Hsiung Kuo

Download or read book Infinite Dimensional Stochastic Analysis written by Hui-Hsiung Kuo and published by World Scientific. This book was released on 2008 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains current work at the frontiers of research in infinite dimensional stochastic analysis. It presents a carefully chosen collection of articles by experts to highlight the latest developments in white noise theory, infinite dimensional transforms, quantum probability, stochastic partial differential equations, and applications to mathematical finance. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians. Sample Chapter(s). Complex White Noise and the Infinite Dimensional Unitary Group (425 KB). Contents: Complex White Noise and the Infinite Dimensional Unitary Group (T Hida); Complex It Formulas (M Redfern); White Noise Analysis: Background and a Recent Application (J Becnel & A N Sengupta); Probability Measures with Sub-Additive Principal SzegAOCoJacobi Parameters (A Stan); Donsker''s Functional Calculus and Related Questions (P-L Chow & J Potthoff); Stochastic Analysis of Tidal Dynamics Equation (U Manna et al.); Adapted Solutions to the Backward Stochastic NavierOCoStokes Equations in 3D (P Sundar & H Yin); Spaces of Test and Generalized Functions of Arcsine White Noise Formulas (A Barhoumi et al.); An Infinite Dimensional Fourier-Mehler Transform and the L(r)vy Laplacian (K Saito & K Sakabe); The Heat Operator in Infinite Dimensions (B C Hall); Quantum Stochastic Dilation of Symmetric Covariant Completely Positive Semigroups with Unbounded Generator (D Goswami & K B Sinha); White Noise Analysis in the Theory of Three-Manifold Quantum Invariants (A Hahn); A New Explicit Formula for the Solution of the BlackOCoMertonOCoScholes Equation (J A Goldstein et al.); Volatility Models of the Yield Curve (V Goodman). Readership: Graduate-level researchers in stochastic analysis, mathematical physics and financial mathematic

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference

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Publisher : World Scientific
ISBN 13 : 9811276005
Total Pages : 306 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference by : Noboru Watanabe

Download or read book Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference written by Noboru Watanabe and published by World Scientific. This book was released on 2023-10-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.

Infinite Dimensional Analysis, Quantum Probability and Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 3031061705
Total Pages : 369 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Infinite Dimensional Analysis, Quantum Probability and Applications by : Luigi Accardi

Download or read book Infinite Dimensional Analysis, Quantum Probability and Applications written by Luigi Accardi and published by Springer Nature. This book was released on 2022-10-04 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite dimensional analysis, with a special focus on applications to mathematical physics and quantum information theory. Covered topics include white noise theory, quantum field theory, quantum Markov processes, free probability, interacting Fock spaces, and more. By emphasizing the interconnection and interdependence of such research topics and their real-life applications, this reputed conference has set itself as a distinguished forum to communicate and discuss new findings in truly relevant aspects of theoretical and applied mathematics, notably in the field of mathematical physics, as well as an event of choice for the promotion of mathematical applications that address the most relevant problems found in industry. That makes this volume a suitable reading not only for researchers and graduate students with an interest in the field but for practitioners as well.

Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory

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Publisher : World Scientific
ISBN 13 : 9811225796
Total Pages : 253 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory by : Palle Jorgensen

Download or read book Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory written by Palle Jorgensen and published by World Scientific. This book was released on 2021-01-15 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.

Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference

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Publisher : World Scientific
ISBN 13 : 9814474797
Total Pages : 391 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference by : Luigi Accardi

Download or read book Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference written by Luigi Accardi and published by World Scientific. This book was released on 2007-07-12 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, 'pure' functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity illustrates that research in quantum probability and infinite dimensional analysis is very active and strongly involved in modern mathematical developments and applications.

Quantum Probability And Infinite-dimensional Analysis: Proceedings Of The Conference

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Publisher : World Scientific
ISBN 13 : 9814486566
Total Pages : 277 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Probability And Infinite-dimensional Analysis: Proceedings Of The Conference by : Wolfgang Freudenberg

Download or read book Quantum Probability And Infinite-dimensional Analysis: Proceedings Of The Conference written by Wolfgang Freudenberg and published by World Scientific. This book was released on 2003-01-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, quantum Markov processes, the stochastic limit, quantum teleportation and other areas.

Tools for Infinite Dimensional Analysis

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Publisher : CRC Press
ISBN 13 : 1000328287
Total Pages : 266 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Tools for Infinite Dimensional Analysis by : Jeremy J. Becnel

Download or read book Tools for Infinite Dimensional Analysis written by Jeremy J. Becnel and published by CRC Press. This book was released on 2020-12-21 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology. Unfortunately, the background information required to conduct research in these subjects presents a tremendous roadblock. The background material primarily stems from an abstract subject known as infinite dimensional topological vector spaces. While this information forms the backdrop for these subjects, the books and papers written about topological vector spaces were never truly written for researchers studying infinite dimensional analysis. Thus, the literature for topological vector spaces is dense and difficult to digest, much of it being written prior to the 1960s. Tools for Infinite Dimensional Analysis aims to address these problems by providing an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying the above-mentioned subjects. It will save current and future researchers countless hours and promote research in these areas by removing an obstacle in the path to beginning study in areas of infinite dimensional analysis. Features Focused approach to the subject matter Suitable for graduate students as well as researchers Detailed proofs of primary results

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401008426
Total Pages : 455 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Recent Developments in Infinite-Dimensional Analysis and Quantum Probability by : Luigi Accardi

Download or read book Recent Developments in Infinite-Dimensional Analysis and Quantum Probability written by Luigi Accardi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Developments in Infinite-Dimensional Analysis and Quantum Probability is dedicated to Professor Takeyuki Hida on the occasion of his 70th birthday. The book is more than a collection of articles. In fact, in it the reader will find a consistent editorial work, devoted to attempting to obtain a unitary picture from the different contributions and to give a comprehensive account of important recent developments in contemporary white noise analysis and some of its applications. For this reason, not only the latest results, but also motivations, explanations and connections with previous work have been included. The wealth of applications, from number theory to signal processing, from optimal filtering to information theory, from the statistics of stationary flows to quantum cable equations, show the power of white noise analysis as a tool. Beyond these, the authors emphasize its connections with practically all branches of contemporary probability, including stochastic geometry, the structure theory of stationary Gaussian processes, Neumann boundary value problems, and large deviations.

White Noise

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Publisher : Springer Science & Business Media
ISBN 13 : 9401736804
Total Pages : 528 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis White Noise by : Takeyuki Hida

Download or read book White Noise written by Takeyuki Hida and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many areas of applied mathematics call for an efficient calculus in infinite dimensions. This is most apparent in quantum physics and in all disciplines of science which describe natural phenomena by equations involving stochasticity. With this monograph we intend to provide a framework for analysis in infinite dimensions which is flexible enough to be applicable in many areas, and which on the other hand is intuitive and efficient. Whether or not we achieved our aim must be left to the judgment of the reader. This book treats the theory and applications of analysis and functional analysis in infinite dimensions based on white noise. By white noise we mean the generalized Gaussian process which is (informally) given by the time derivative of the Wiener process, i.e., by the velocity of Brownian mdtion. Therefore, in essence we present analysis on a Gaussian space, and applications to various areas of sClence. Calculus, analysis, and functional analysis in infinite dimensions (or dimension-free formulations of these parts of classical mathematics) have a long history. Early examples can be found in the works of Dirichlet, Euler, Hamilton, Lagrange, and Riemann on variational problems. At the beginning of this century, Frechet, Gateaux and Volterra made essential contributions to the calculus of functions over infinite dimensional spaces. The important and inspiring work of Wiener and Levy followed during the first half of this century. Moreover, the articles and books of Wiener and Levy had a view towards probability theory.

Quantum Probability And Infinite Dimensional Analysis: From Foundations To Appllications

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Publisher : World Scientific
ISBN 13 : 9814481025
Total Pages : 547 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Probability And Infinite Dimensional Analysis: From Foundations To Appllications by : Uwe Franz

Download or read book Quantum Probability And Infinite Dimensional Analysis: From Foundations To Appllications written by Uwe Franz and published by World Scientific. This book was released on 2005-01-12 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects research papers in quantum probability and related fields and reflects the recent developments in quantum probability ranging from the foundations to its applications.

Beyond Quantum

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Publisher : CRC Press
ISBN 13 : 9814411736
Total Pages : 394 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Beyond Quantum by : Andrei Khrennikov

Download or read book Beyond Quantum written by Andrei Khrennikov and published by CRC Press. This book was released on 2014-04-10 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present wave of interest in quantum foundations is caused by the tremendous development of quantum information science and its applications to quantum computing and quantum communication. It has become clear that some of the difficulties encountered in realizations of quantum information processing have roots at the very fundamental level. To solve such problems, quantum theory has to be reconsidered. This book is devoted to the analysis of the probabilistic structure of quantum theory, probing the limits of classical probabilistic representation of quantum phenomena.

Infinite Dimensional Analysis, Quantum Probability and Related Topics

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811275982
Total Pages : 0 pages
Book Rating : 4.2/5 (759 download)

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Book Synopsis Infinite Dimensional Analysis, Quantum Probability and Related Topics by : Luigi Accardi

Download or read book Infinite Dimensional Analysis, Quantum Probability and Related Topics written by Luigi Accardi and published by World Scientific Publishing Company. This book was released on 2023-10-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.

High-Dimensional Probability

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Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832026
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite and Infinite Dimensional Analysis in Honor of Leonard Gross by : Hui-Hsiung Kuo

Download or read book Finite and Infinite Dimensional Analysis in Honor of Leonard Gross written by Hui-Hsiung Kuo and published by American Mathematical Soc.. This book was released on 2003 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.

Probability on Algebraic Structures

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Publisher : American Mathematical Soc.
ISBN 13 : 0821820273
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Probability on Algebraic Structures by : Gregory Budzban

Download or read book Probability on Algebraic Structures written by Gregory Budzban and published by American Mathematical Soc.. This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.

Quantum Information And Computing

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Publisher : World Scientific
ISBN 13 : 981447892X
Total Pages : 398 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Information And Computing by : Noboru Watanabe

Download or read book Quantum Information And Computing written by Noboru Watanabe and published by World Scientific. This book was released on 2006-03-16 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this volume is to emphasize the multidisciplinary aspects of this very active new line of research in which concrete technological and industrial realizations require the combined efforts of experimental and theoretical physicists, mathematicians and engineers.