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Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Author: Luigi Accardi

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 455

ISBN-13: 9401008426

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.

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Author: Takeyuki Hida

Publisher:

Published: 2000

Total Pages: 464

ISBN-13:

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Quantum Probability And Infinite Dimensional Analysis: From Foundations To Appllications

Author: Uwe Franz

Publisher: World Scientific

Published: 2005-01-12

Total Pages: 547

ISBN-13: 9814481025

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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.

Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 29th Conference

Author: Habib Ouerdiane

Publisher: World Scientific

Published: 2010-02-10

Total Pages: 314

ISBN-13: 9814465631

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This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.

Infinite Dimensional Analysis, Quantum Probability and Applications

Author: Luigi Accardi

Publisher: Springer Nature

Published: 2022-10-04

Total Pages: 369

ISBN-13: 3031061705

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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.

Non-commutativity, Infinite-dimensionality And Probability At The Crossroads, Procs Of The Rims Workshop On Infinite-dimensional Analysis And Quantum Probability

Author: Taku Matsui

Publisher: World Scientific

Published: 2003-01-16

Total Pages: 447

ISBN-13: 9814486507

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Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. This volume includes four expository articles on recent developments in quantum field theory, quantum stochastic differential equations, free probability and quantum white noise calculus, which are targeted also for graduate study. The fourteen research papers deal with most of the current topics, and their interconnections reflect a vivid development in interacting Fock space, infinite-dimensional groups, stochastic independence, non-commutative central limit theorems, stochastic geometry, and so on.

Non-commutativity, Infinite-dimensionality and Probability at the Crossroads

Author: Nobuaki Obata

Publisher: World Scientific

Published: 2003-01-16

Total Pages: 447

ISBN-13: 9812705244

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Proceedings of the Conference Quantum Probability and Infinite Dimensional Analysis

Author: Wolfgang Freudenberg

Publisher: World Scientific

Published: 2003

Total Pages: 277

ISBN-13: 9812382887

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This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, the stochastic limit, quantum teleportation and other areas. Contents: Markov Property -- Recent Developments on the Quantum Markov Property (L Accardi & F Fidaleo); Stationary Quantum Stochastic Processes from the Cohomological Point of View (G G Amosov); The Feller Property of a Class of Quantum Markov Semigroups II (R Carbone & F Fagnola); Recognition and Teleportation (K-H Fichtner et al.); Prediction Errors and Completely Positive Maps (R Gohm); Multiplicative Properties of Double Stochastic Product Integrals (R L Hudson); Isometric Cocycles Related to Beam Splittings (V Liebscher); Multiplicativity via a Hat Trick (J M Lindsay & S J Wills); Dilation Theory and Continuous Tensor Product Systems of Hilbert Modules (M Skeide); Quasi-Free Fermion Planar Quantum Stochastic Integrals (W J Spring & I F Wilde); and other papers.

Quantum Probability and Infinite Dimensional Analysis

Author: Luigi Accardi

Publisher: World Scientific Publishing Company Incorporated

Published: 2007

Total Pages: 379

ISBN-13: 9789812708519

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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 Related Topics

Author: Franco Fagnola

Publisher: World Scientific

Published: 2013

Total Pages: 280

ISBN-13: 9814447544

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This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to resear.