Holdings: Non-commutativity, infinite-dimensionality and probability at the crossroads :

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 /

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...

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Corporate Authors:	RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability Kyoto, Japan, Kyōto Daigaku. Sūri Kaiseki Kenkyūjo
Other Authors:	Obata, Nobuaki, 1957-, Matsui, Taku, Hora, Akihito
Format:	Electronic Conference Proceeding eBook
Language:	English
Published:	Singapore ; River Edge, N.J. : World Scientific, ©2002.
Series:	QP-PQ ; v. 16.
Subjects:	Dimensional analysis > Congresses. Quantum theory > Congresses. Probabilities > Congresses. Analyse dimensionnelle > Congrès. Théorie quantique > Congrès. Probabilités > Congrès. MATHEMATICS > Measurement. TECHNOLOGY & ENGINEERING > Measurement. Dimensional analysis Probabilities Quantum theory Conference papers and proceedings
Online Access:	DE-862 DE-863
Summary:	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.
Item Description:	Conference held at the Research Institute for Mathematical Sciences, Kyoto University.
Physical Description:	1 online resource (viii, 437 pages) : illustrations
Bibliography:	Includes bibliographical references and author index.
ISBN:	9789812705242 9812705244 1281908738 9781281908735 9786611908737 6611908730

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contents	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.
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spelling	RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability (10th : 2001 : Kyoto, Japan) 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 ; River Edge, N.J. : World Scientific, ©2002. 1 online resource (viii, 437 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier QP-PQ ; v. 16 Conference held at the Research Institute for Mathematical Sciences, Kyoto University. Includes bibliographical references and author index. Print version record. 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. English. Dimensional analysis Congresses. Quantum theory Congresses. Probabilities Congresses. Analyse dimensionnelle Congrès. Théorie quantique Congrès. Probabilités Congrès. MATHEMATICS Measurement. bisacsh TECHNOLOGY & ENGINEERING Measurement. bisacsh Dimensional analysis fast Probabilities fast Quantum theory fast Conference papers and proceedings fast Obata, Nobuaki, 1957- https://id.oclc.org/worldcat/entity/E39PCjqCpqpTw6mVrBcVm3wvh3 http://id.loc.gov/authorities/names/n94031467 Matsui, Taku. Hora, Akihito. Kyōto Daigaku. Sūri Kaiseki Kenkyūjo. has work: Non-commutativity, infinite-dimensionality, and probability at the crossroads (Text) https://id.oclc.org/worldcat/entity/E39PCH7mtQQRTtpvqW6vBBq3kP https://id.oclc.org/worldcat/ontology/hasWork Print version: RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability (10th : 2001 : Kyoto, Japan). Non-commutativity, infinite-dimensionality and probability at the crossroads. Singapore ; River Edge, N.J. : World Scientific, ©2002 9812382976 (OCoLC)52569596 QP-PQ ; v. 16. http://id.loc.gov/authorities/names/n2002015689
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 / QP-PQ ; 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. Dimensional analysis Congresses. Quantum theory Congresses. Probabilities Congresses. Analyse dimensionnelle Congrès. Théorie quantique Congrès. Probabilités Congrès. MATHEMATICS Measurement. bisacsh TECHNOLOGY & ENGINEERING Measurement. bisacsh Dimensional analysis fast Probabilities fast Quantum theory fast
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	Dimensional analysis Congresses. Quantum theory Congresses. Probabilities Congresses. Analyse dimensionnelle Congrès. Théorie quantique Congrès. Probabilités Congrès. MATHEMATICS Measurement. bisacsh TECHNOLOGY & ENGINEERING Measurement. bisacsh Dimensional analysis fast Probabilities fast Quantum theory fast
topic_facet	Dimensional analysis Congresses. Quantum theory Congresses. Probabilities Congresses. Analyse dimensionnelle Congrès. Théorie quantique Congrès. Probabilités Congrès. MATHEMATICS Measurement. TECHNOLOGY & ENGINEERING Measurement. Dimensional analysis Probabilities Quantum theory Conference papers and proceedings
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