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

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference
Author: Noboru Watanabe
Publisher: World Scientific
Total Pages: 306
Release: 2023-10-25
Genre: Mathematics
ISBN: 9811276005

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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 Related Topics

Infinite Dimensional Analysis, Quantum Probability and Related Topics
Author: Luigi Accardi
Publisher: World Scientific Publishing Company
Total Pages: 0
Release: 2023-10-25
Genre: Mathematics
ISBN: 9789811275982

Download Infinite Dimensional Analysis, Quantum Probability and Related Topics Book in PDF, ePub and Kindle

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

Infinite Dimensional Analysis, Quantum Probability and Applications
Author: Luigi Accardi
Publisher: Springer Nature
Total Pages: 369
Release: 2022-10-04
Genre: Mathematics
ISBN: 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.


Quantum Probability And Related Topics - Proceedings Of The 32nd Conference

Quantum Probability And Related Topics - Proceedings Of The 32nd Conference
Author: Franco Fagnola
Publisher: World Scientific
Total Pages: 280
Release: 2012-11-22
Genre: Mathematics
ISBN: 9814447552

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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 researchers.


Quantum Probability and Related Topics

Quantum Probability and Related Topics
Author: Franco Fagnola
Publisher: World Scientific
Total Pages: 280
Release: 2013
Genre: Mathematics
ISBN: 9814447544

Download Quantum Probability and Related Topics Book in PDF, ePub and Kindle

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.


Quantum Probability and Related Topics

Quantum Probability and Related Topics
Author: L. Accardi
Publisher: World Scientific
Total Pages: 390
Release: 1993
Genre: Science
ISBN: 9789810211400

Download Quantum Probability and Related Topics Book in PDF, ePub and Kindle

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.


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

Non-commutativity, Infinite-dimensionality and Probability at the Crossroads
Author: Nobuaki Obata
Publisher: Qp-Pq: Quantum Probability and
Total Pages: 456
Release: 2002
Genre: Mathematics
ISBN: 9789812382979

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Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. 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. Contents: Mathematical Theory of Quantum Particles Interacting with a Quantum Field (A Arai); H-P Quantum Stochastic Differential Equations (F Fagnola); Quantum White Noise Calculus (U C Ji & N Obata); Can "Quantumness" Be an Origin of Dissipation? (T Arimitsu); What Is Stochastic Independence? (U Franz); Creation-Annihilation Processes on Cellar Complecies (Y Hashimoto); Fock Space and Representation of Some Infinite-Dimensional Groups (T Matsui & Y Shimada); Free Product Actions and Their Applications (Y Ueda); Remarks on the s-Free Convolution (H Yoshida); and other papers. Readership: Researchers and graduate students in analysis & differential equations, probability & statistics, mathematical physics and quantum physics.


Infinite Dimensional Analysis, Quantum Probability and Applications

Infinite Dimensional Analysis, Quantum Probability and Applications
Author: Luigi Accardi
Publisher:
Total Pages: 0
Release: 2022
Genre: Calculus
ISBN: 9783031061714

Download Infinite Dimensional Analysis, Quantum Probability and Applications Book in PDF, ePub and Kindle

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.


Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability
Author: Luigi Accardi
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401008426

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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.


Quantum Probability And Infinite Dimensional Analysis: From Foundations To Appllications

Quantum Probability And Infinite Dimensional Analysis: From Foundations To Appllications
Author: Uwe Franz
Publisher: World Scientific
Total Pages: 547
Release: 2005-01-12
Genre: Mathematics
ISBN: 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.