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

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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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.


Book Synopsis Non-commutativity, Infinite-dimensionality and Probability at the Crossroads by : Nobuaki Obata

Download or read book Non-commutativity, Infinite-dimensionality and Probability at the Crossroads written by Nobuaki Obata and published by World Scientific. This book was released on 2003-01-16 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads

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Publisher:

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ISBN-13: 9814486507

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Download or read book Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Probability and Infinite Dimensional Analysis

Quantum Probability and Infinite Dimensional Analysis

Author: Habib Ouerdiane

Publisher: World Scientific

Published: 2010

Total Pages: 314

ISBN-13: 9814295426

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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.


Book Synopsis Quantum Probability and Infinite Dimensional Analysis by : Habib Ouerdiane

Download or read book Quantum Probability and Infinite Dimensional Analysis written by Habib Ouerdiane and published by World Scientific. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.

Quantum Probability and Infinite Dimensional Analysis

Quantum Probability and Infinite Dimensional Analysis

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Publisher:

Published:

Total Pages:

ISBN-13: 9814465631

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Download or read book Quantum Probability and Infinite Dimensional Analysis written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Probability and Infinite Dimensional Analysis

Quantum Probability and Infinite Dimensional Analysis

Author: Michael Schürmann

Publisher: World Scientific

Published: 2005-01-12

Total Pages: 548

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. Contents:Probability Measures in Terms of Creation, Annihilation and Neutral Operators (L Accardi et al.)Generating Function Method for Orthogonal Polynomials and Jacobi–Szegö Parameters (N Asai et al.)Multiquantum Markov Semigroups, Interacting Branching Processes and Nonlinear Kinetic Equations. Finite Dimensional Case (V P Belavkin & C R Williams)A Note on Vacuum-Adapted Semimartingales and Monotone Independence (A C R Belton)Regular Quantum Stochastic Cocycles have Exponential Product Systems (B V R Bhat & J M Lindsay)Quantum Mechanics on the Circle Through Hopf q-Deformations of the Kinematical Algebra with Possible Applications to Lévy Processes (V K Dobrev et al.)On Algebraic and Quantum Random Walks (D Ellinas)Dual Representations for the Schrödinger Algebra (P Feinsilver & R Schott)A Limit Theorem for Conditionally Independent Beam Splittings (K H Fichtner et al.)On Quantum Logical Gates on a General Fock Space (W Freudenberg et al.)On an Argument of David Deutsch (R Gill)The Method of Double Product Integrals in Quantisation of Lie Bialgebras (R L Hudson)Asymptotics of Large Truncated Haar Unitary Matrices (J L Réffy)Three Ways to Representations of BA(E) (M Skeide)On Topological Entropy of Quotients and Extensions (J Zacharias)and other papers Readership: Researchers in the fields of probability, mathematical physics and functional analysis. Keywords:Quantum Probability;Infinite Dimensional Analysis;Mathematical Physics;Lévy Processes;Interacting Fock Space;Quantum Markov ProcessesKey Features:Reflects recent developments in the fieldsAll the articles are contributed by renowned researchers


Book Synopsis Quantum Probability and Infinite Dimensional Analysis by : Michael Schürmann

Download or read book Quantum Probability and Infinite Dimensional Analysis written by Michael Schürmann and published by World Scientific. This book was released on 2005-01-12 with total page 548 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. Contents:Probability Measures in Terms of Creation, Annihilation and Neutral Operators (L Accardi et al.)Generating Function Method for Orthogonal Polynomials and Jacobi–Szegö Parameters (N Asai et al.)Multiquantum Markov Semigroups, Interacting Branching Processes and Nonlinear Kinetic Equations. Finite Dimensional Case (V P Belavkin & C R Williams)A Note on Vacuum-Adapted Semimartingales and Monotone Independence (A C R Belton)Regular Quantum Stochastic Cocycles have Exponential Product Systems (B V R Bhat & J M Lindsay)Quantum Mechanics on the Circle Through Hopf q-Deformations of the Kinematical Algebra with Possible Applications to Lévy Processes (V K Dobrev et al.)On Algebraic and Quantum Random Walks (D Ellinas)Dual Representations for the Schrödinger Algebra (P Feinsilver & R Schott)A Limit Theorem for Conditionally Independent Beam Splittings (K H Fichtner et al.)On Quantum Logical Gates on a General Fock Space (W Freudenberg et al.)On an Argument of David Deutsch (R Gill)The Method of Double Product Integrals in Quantisation of Lie Bialgebras (R L Hudson)Asymptotics of Large Truncated Haar Unitary Matrices (J L Réffy)Three Ways to Representations of BA(E) (M Skeide)On Topological Entropy of Quotients and Extensions (J Zacharias)and other papers Readership: Researchers in the fields of probability, mathematical physics and functional analysis. Keywords:Quantum Probability;Infinite Dimensional Analysis;Mathematical Physics;Lévy Processes;Interacting Fock Space;Quantum Markov ProcessesKey Features:Reflects recent developments in the fieldsAll the articles are contributed by renowned researchers

Infinite Dimensional Stochastic Analysis

Infinite Dimensional Stochastic Analysis

Author: Hui-Hsiung Kuo

Publisher: World Scientific

Published: 2008

Total Pages: 257

ISBN-13: 9812779558

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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


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

Quantum Probability and Related Topics

Quantum Probability and Related Topics

Author: Rolando Rebolledo

Publisher: World Scientific

Published: 2011

Total Pages: 339

ISBN-13: 9814338737

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This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. 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.


Book Synopsis Quantum Probability and Related Topics by : Rolando Rebolledo

Download or read book Quantum Probability and Related Topics written by Rolando Rebolledo and published by World Scientific. This book was released on 2011 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. 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.

Quantum Probability and Related Topics

Quantum Probability and Related Topics

Author: Rolando Rebolledo

Publisher: World Scientific

Published: 2011-01-19

Total Pages: 340

ISBN-13: 9814462179

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This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. 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. Contents:Existence of the Fock Representation for Current Algebras of the Galilei Algebra (L Accardi et al.)Modular Structures and Landau Levels (F Bagarello)On Spectral Approach to Pascal White Noise Functionals (A Barhoumi et al.)Spectral Analysis for Twisted Waveguides (P Briet)On the Classification of Invarient State of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case (S Hachicha)On Difficulties Appearing in the Study of Stochastic Volterra Equations (A Karczewska)Entanglement Protection and Generation in a Two-Atom System (M Orszag)Hilbert Molecules — Square Roots of Positive Maps (M Skeide)Multiparameter Quantum Stochastic Processes (W J Spring)and other papers Readership: Researchers in mathematical physics, stochastic analysis and probability and statistics. Keywords:Quantum Probability;Quantum Markov Semigroups;Entanglement;Quantum Information;Quantum Statistics;Quantum Dilations;Quantum Measurements;Non-Markovian Open Systems


Book Synopsis Quantum Probability and Related Topics by : Rolando Rebolledo

Download or read book Quantum Probability and Related Topics written by Rolando Rebolledo and published by World Scientific. This book was released on 2011-01-19 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. 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. Contents:Existence of the Fock Representation for Current Algebras of the Galilei Algebra (L Accardi et al.)Modular Structures and Landau Levels (F Bagarello)On Spectral Approach to Pascal White Noise Functionals (A Barhoumi et al.)Spectral Analysis for Twisted Waveguides (P Briet)On the Classification of Invarient State of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case (S Hachicha)On Difficulties Appearing in the Study of Stochastic Volterra Equations (A Karczewska)Entanglement Protection and Generation in a Two-Atom System (M Orszag)Hilbert Molecules — Square Roots of Positive Maps (M Skeide)Multiparameter Quantum Stochastic Processes (W J Spring)and other papers Readership: Researchers in mathematical physics, stochastic analysis and probability and statistics. Keywords:Quantum Probability;Quantum Markov Semigroups;Entanglement;Quantum Information;Quantum Statistics;Quantum Dilations;Quantum Measurements;Non-Markovian Open Systems

Quantum Probability and Related Topics

Quantum Probability and Related Topics

Author: R. Quezada

Publisher: World Scientific

Published: 2008

Total Pages: 288

ISBN-13: 981283527X

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This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies.


Book Synopsis Quantum Probability and Related Topics by : R. Quezada

Download or read book Quantum Probability and Related Topics written by R. Quezada and published by World Scientific. This book was released on 2008 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies.

Quantum Probability and Related Topics

Quantum Probability and Related Topics

Author:

Publisher:

Published:

Total Pages:

ISBN-13: 9814469769

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Book Synopsis Quantum Probability and Related Topics by :

Download or read book Quantum Probability and Related Topics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: