Non-commutativity, infinite-dimensionality and probability at the crossroads: proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001
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Format: | Electronic eBook |
Language: | English |
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Singapore
World Scientific
c2002
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Series: | QP-PQ
v. 16 |
Subjects: | |
Online Access: | FAW01 FAW02 Volltext |
Item Description: | Conference held at the Research Institute for Mathematical Sciences, Kyoto University Includes bibliographical references and author index Expository articles. Mathematical theory of quantum particles interacting with a quantum field / A. Arai -- H-P quantum stochastic differential equations / F. Fagnola -- Free relative entropy and q-deformation theory / F. Hiai -- Quantum white noise calculus / U.C. Ji & N. Obata -- Research papers. Interacting Fock spaces and orthogonal polynomials in several variables / L. Accardi & M. Nahni -- Can "quantumness" be an origin of dissipation? / T. Arimitsu -- Eventum mechanics as the crossroad of probability, infinite-dimensionality and non-commutativity / V.P. Belavkin -- What is stochastic independence? / U. Franz -- Creation-annihilation processes on cellar complecies / Y. Hashimoto -- White noise analysis -- a more general approach / T. Hida -- Characters for the infinite Weyl groups of type B[symbol] and D[symbol], and for analogous groups / T. Hirai & E. Hirai -- Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups / A. Hora -- Brownian motion and classifying spaces / R. Léandre -- Fock space and representation of some infinite dimensional groups / T. Matsui & Y. Shimada -- Cauchy processes and the Lévy Laplacian / N. Obata & K. Saito -- Separation of non-commutative procedures -- exponential product formulas and quantum analysis / M. Suzuki -- Free product actions and their applications / Y. Ueda -- Remarks on the s-free convolution / H. Yoshida 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 |
Physical Description: | 1 Online-Ressource (viii, 437 p.) |
ISBN: | 9789812382979 9789812705242 9812382976 9812705244 |
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245 | 1 | 0 | |a Non-commutativity, infinite-dimensionality and probability at the crossroads |b proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 |c editors, Nobuaki Obata, Taku Matsui, Akihito Hora |
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500 | |a Expository articles. Mathematical theory of quantum particles interacting with a quantum field / A. Arai -- H-P quantum stochastic differential equations / F. Fagnola -- Free relative entropy and q-deformation theory / F. Hiai -- Quantum white noise calculus / U.C. Ji & N. Obata -- Research papers. Interacting Fock spaces and orthogonal polynomials in several variables / L. Accardi & M. Nahni -- Can "quantumness" be an origin of dissipation? / T. Arimitsu -- Eventum mechanics as the crossroad of probability, infinite-dimensionality and non-commutativity / V.P. Belavkin -- What is stochastic independence? / U. Franz -- Creation-annihilation processes on cellar complecies / Y. Hashimoto -- White noise analysis -- a more general approach / T. Hida -- Characters for the infinite Weyl groups of type B[symbol] and D[symbol], and for analogous groups / T. Hirai & E. Hirai -- Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups / A. Hora -- Brownian motion and classifying spaces / R. Léandre -- Fock space and representation of some infinite dimensional groups / T. Matsui & Y. Shimada -- Cauchy processes and the Lévy Laplacian / N. Obata & K. Saito -- Separation of non-commutative procedures -- exponential product formulas and quantum analysis / M. Suzuki -- Free product actions and their applications / Y. Ueda -- Remarks on the s-free convolution / H. Yoshida | ||
500 | |a 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 | ||
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author_corporate | RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability < 2001, Kyoto, Japan> |
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author_facet | RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability < 2001, Kyoto, Japan> |
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spelling | RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability < 2001, Kyoto, Japan> Verfasser aut Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 editors, Nobuaki Obata, Taku Matsui, Akihito Hora Proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability Singapore World Scientific c2002 1 Online-Ressource (viii, 437 p.) txt rdacontent c rdamedia cr rdacarrier QP-PQ v. 16 Conference held at the Research Institute for Mathematical Sciences, Kyoto University Includes bibliographical references and author index Expository articles. Mathematical theory of quantum particles interacting with a quantum field / A. Arai -- H-P quantum stochastic differential equations / F. Fagnola -- Free relative entropy and q-deformation theory / F. Hiai -- Quantum white noise calculus / U.C. Ji & N. Obata -- Research papers. Interacting Fock spaces and orthogonal polynomials in several variables / L. Accardi & M. Nahni -- Can "quantumness" be an origin of dissipation? / T. Arimitsu -- Eventum mechanics as the crossroad of probability, infinite-dimensionality and non-commutativity / V.P. Belavkin -- What is stochastic independence? / U. Franz -- Creation-annihilation processes on cellar complecies / Y. Hashimoto -- White noise analysis -- a more general approach / T. Hida -- Characters for the infinite Weyl groups of type B[symbol] and D[symbol], and for analogous groups / T. Hirai & E. Hirai -- Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups / A. Hora -- Brownian motion and classifying spaces / R. Léandre -- Fock space and representation of some infinite dimensional groups / T. Matsui & Y. Shimada -- Cauchy processes and the Lévy Laplacian / N. Obata & K. Saito -- Separation of non-commutative procedures -- exponential product formulas and quantum analysis / M. Suzuki -- Free product actions and their applications / Y. Ueda -- Remarks on the s-free convolution / H. Yoshida 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 MATHEMATICS / Measurement bisacsh TECHNOLOGY & ENGINEERING / Measurement bisacsh Dimensional analysis fast Probabilities fast Quantum theory fast Quantentheorie Dimensional analysis Congresses Quantum theory Congresses Probabilities Congresses (DE-588)1071861417 Konferenzschrift gnd-content Obata, Nobuaki Sonstige oth Matsui, Taku Sonstige oth Hora, Akihito Sonstige oth Kyōto Daigaku Sūri Kaiseki Kenkyūjo Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514367 Aggregator Volltext |
spellingShingle | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 MATHEMATICS / Measurement bisacsh TECHNOLOGY & ENGINEERING / Measurement bisacsh Dimensional analysis fast Probabilities fast Quantum theory fast Quantentheorie Dimensional analysis Congresses Quantum theory Congresses Probabilities Congresses |
subject_GND | (DE-588)1071861417 |
title | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 |
title_alt | Proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability |
title_auth | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 |
title_exact_search | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 |
title_full | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 editors, Nobuaki Obata, Taku Matsui, Akihito Hora |
title_fullStr | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 editors, Nobuaki Obata, Taku Matsui, Akihito Hora |
title_full_unstemmed | Non-commutativity, infinite-dimensionality and probability at the crossroads proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 editors, Nobuaki Obata, Taku Matsui, Akihito Hora |
title_short | Non-commutativity, infinite-dimensionality and probability at the crossroads |
title_sort | non commutativity infinite dimensionality and probability at the crossroads proceedings of the rims workshop on infinite dimensional analysis and quantum probability kyoto japan 20 22 november 2001 |
title_sub | proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability : Kyoto, Japan, 20-22 November, 2001 |
topic | MATHEMATICS / Measurement bisacsh TECHNOLOGY & ENGINEERING / Measurement bisacsh Dimensional analysis fast Probabilities fast Quantum theory fast Quantentheorie Dimensional analysis Congresses Quantum theory Congresses Probabilities Congresses |
topic_facet | MATHEMATICS / Measurement TECHNOLOGY & ENGINEERING / Measurement Dimensional analysis Probabilities Quantum theory Quantentheorie Dimensional analysis Congresses Quantum theory Congresses Probabilities Congresses Konferenzschrift |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514367 |
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