Quantum information IV : proceedings of the fourth international conference, Meijo University, Japan, 27 February-1 March 2001
معرفی کتاب «Quantum information IV : proceedings of the fourth international conference, Meijo University, Japan, 27 February-1 March 2001» نوشتهٔ Takeyuki Hida; Kimiaki (both of Meijo University, Japan) Saito، منتشرشده توسط نشر World Scientific Publishing در سال 2002. این کتاب در فرمت pdf، زبان انگلیسی ارائه شده است.
This volume constitutes the proceedings of the Fourth International Conference on Quantum Information, held in Japan in 2001. Topics covered include: infinite dimensional harmonic analysis; white noise theory; complex Gaussian random fields; quantum information in space and time; and more. Contents: A Quarter Century of White Noise Theory (H-H Kuo)Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials (N Asai)Notions of Independence in Algebraic Probability Theory and Set Partition Statistics (Y Hashimoto)Some Thoughts on the Infinite Dimensional Harmonic Analysis (T Hida & Y Hara-Mimachi)A Treatment of Quantum Baker's Map by Chaos Degree (K Inoue et al.)Poisson Noise Analysis Based on the Lévy Laplacian (A Ishikawa et al.)A Hausdorff–Young Inequality for White Noise Analysis (H-H Kuo et al.)The Clark Formula of Generalized Wiener Functionals (Y-J Lee & H-H Shih)Inverse S-Transform, Wick Product and Overcompleteness of Exponential Vectors (N Obata)Topics on Complex Gaussian Random Fields (S Si & W W Htay)Quantum Information in Space and Time and Theory of Stochastic Processes (I V Volovich)Readership: Pure and applied probabilists, functional analysts, mathematical physicists, theoretical physicists and mathematical biologists.Key Features:Treatment of “new generation” issues such as human rights or sovereign wealth fundsTreatment of highly controversial issues of harmonization including subsidies, public services and technology transfer or the actual choice whether to harmonize or notAnalysis provided by top international scholars
Contents:
Readership: Pure and applied probabilists, functional analysts, mathematical physicists, theoretical physicists and mathematical biologists.
Some Thoughts on the Infinite Dimensional Harmonic Analysis1 Background; 2 Roles of whiskers; 3 Conformal group; 4 Concluding remarks; References; A Treatment of Quantum Baker's Map by Chaos Degree; 1 Introduction; 2 Quantum vs. Classical Dynamics; 3 Coherent States for the Quantum Baker's Map; 4 Chaos Degree; 5 Chaos Degree for the Quantum Baker's map; 6 Numerical Simulation of the Chaos Degree and Classical-Quantum Correspondence; References; Poisson Noise Analysis Based on the Levy Laplacian; 1 Introduction; 2 Preliminaries; 3 The Levy Laplacian acting on Poisson noise functionals Preface; CONTENTS; A Quarter Century of White Noise Theory; 1. Pre-theory period (white noise without a theory); 2. Creation of white noise theory (1975); 3. Kubo-Takenaka's construction (1980); 4. Characterization theorems of Potthoff-Streit and Lee (1991); 5. More spaces of generalized functions (1992-2000); 6. Applications of white noise theory; 7. References on white noise theory; References; Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials; 1 Introduction; 2 q-deformed Charlier Polynomials; 3 Segal-Bargmann Transform and Hardy Space Inverse S-Transform Wick Product and Overcompleteness of Exponential VectorsIntroduction; 1 White Noise Functions; 2 Complex White Noise; 3 Representation of White Noise Functions; 4 Representation of White Noise Operators; 5 Wick Product and Overcompleteness of Exponential Vectors; Appendix: Multi-Variable White Noise Functions; References; Topics on Complex Gaussian Random Fields; 0 Introduction; 1 Background; 2 Complex Gaussian random field; 3 Innovation; References; Quantum Information in Space and Time and Theory of Stochastic Processes; 1 Introduction; 2 Bell's Theorem 4 Main ResultsAppendix; References; Notions of Independence in Algebraic Probability Theory and Set Partition Statistics; 1 Singleton condition and set partition statistics; 2 Law of large numbers central limit theorems and entangled ergodicity; 3 Set partition statistics on discrete groups; 4 Singleton independence; 5 A limit theorem on the Haagerup states; 6 Quantum decomposition in a discrete group; 7 Interacting Fock spaces associated with a discrete group; 8 Applications to limit theorems in algebraic probability theory; References 4 A semi-group generated by the Levy Laplacian5 Stochastic expressions of the semigroup generated by the Levy Laplacian; References; A Hausdorff-Young Inequality for White Noise Analysis; 1 INTRODUCTION; 2 BACKGROUND; 3 HAUSDORFF-YOUNG INEQUALITY FOR WHITE NOISE ANALYSIS; REFERENCES; The Clark Formula of Generalized Wiener Functionals; 1 Introduction; 2 A Gel'fand triple associated with the classical Wiener space; 3 The spaces of test and generalized functions; 4 The Clark formula for generalized Wiener functionals; References Contents: A Quarter Century of White Noise Theory (H-H Kuo) Integral Transform and Segal-Bargmann Representation Associated to q -Charlier Polynomials (N Asai) Notions of Independence in Algebraic Probability Theory and Set Partition Statistics (Y Hashimoto) Some Thoughts on the Infinite Dimensional Harmonic Analysis (T Hida & Y Hara-Mimachi) A Treatment of Quantum Baker's Map by Chaos Degree (K Inoue et al.) Poisson Noise Analysis Based on the Lévy Laplacian (A Ishikawa et al.)
دانلود کتاب Quantum information IV : proceedings of the fourth international conference, Meijo University, Japan, 27 February-1 March 2001
Contents:
- A Quarter Century of White Noise Theory (H-H Kuo)
- Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials (N Asai)
- Notions of Independence in Algebraic Probability Theory and Set Partition Statistics (Y Hashimoto)
- Some Thoughts on the Infinite Dimensional Harmonic Analysis (T Hida & Y Hara-Mimachi)
- A Treatment of Quantum Baker's Map by Chaos Degree (K Inoue et al.)
- Poisson Noise Analysis Based on the Lévy Laplacian (A Ishikawa et al.)
- A Hausdorff–Young Inequality for White Noise Analysis (H-H Kuo et al.)
- The Clark Formula of Generalized Wiener Functionals (Y-J Lee & H-H Shih)
- Inverse S-Transform, Wick Product and Overcompleteness of Exponential Vectors (N Obata)
- Topics on Complex Gaussian Random Fields (S Si & W W Htay)
- Quantum Information in Space and Time and Theory of Stochastic Processes (I V Volovich)
Readership: Pure and applied probabilists, functional analysts, mathematical physicists, theoretical physicists and mathematical biologists.
Some Thoughts on the Infinite Dimensional Harmonic Analysis1 Background; 2 Roles of whiskers; 3 Conformal group; 4 Concluding remarks; References; A Treatment of Quantum Baker's Map by Chaos Degree; 1 Introduction; 2 Quantum vs. Classical Dynamics; 3 Coherent States for the Quantum Baker's Map; 4 Chaos Degree; 5 Chaos Degree for the Quantum Baker's map; 6 Numerical Simulation of the Chaos Degree and Classical-Quantum Correspondence; References; Poisson Noise Analysis Based on the Levy Laplacian; 1 Introduction; 2 Preliminaries; 3 The Levy Laplacian acting on Poisson noise functionals Preface; CONTENTS; A Quarter Century of White Noise Theory; 1. Pre-theory period (white noise without a theory); 2. Creation of white noise theory (1975); 3. Kubo-Takenaka's construction (1980); 4. Characterization theorems of Potthoff-Streit and Lee (1991); 5. More spaces of generalized functions (1992-2000); 6. Applications of white noise theory; 7. References on white noise theory; References; Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials; 1 Introduction; 2 q-deformed Charlier Polynomials; 3 Segal-Bargmann Transform and Hardy Space Inverse S-Transform Wick Product and Overcompleteness of Exponential VectorsIntroduction; 1 White Noise Functions; 2 Complex White Noise; 3 Representation of White Noise Functions; 4 Representation of White Noise Operators; 5 Wick Product and Overcompleteness of Exponential Vectors; Appendix: Multi-Variable White Noise Functions; References; Topics on Complex Gaussian Random Fields; 0 Introduction; 1 Background; 2 Complex Gaussian random field; 3 Innovation; References; Quantum Information in Space and Time and Theory of Stochastic Processes; 1 Introduction; 2 Bell's Theorem 4 Main ResultsAppendix; References; Notions of Independence in Algebraic Probability Theory and Set Partition Statistics; 1 Singleton condition and set partition statistics; 2 Law of large numbers central limit theorems and entangled ergodicity; 3 Set partition statistics on discrete groups; 4 Singleton independence; 5 A limit theorem on the Haagerup states; 6 Quantum decomposition in a discrete group; 7 Interacting Fock spaces associated with a discrete group; 8 Applications to limit theorems in algebraic probability theory; References 4 A semi-group generated by the Levy Laplacian5 Stochastic expressions of the semigroup generated by the Levy Laplacian; References; A Hausdorff-Young Inequality for White Noise Analysis; 1 INTRODUCTION; 2 BACKGROUND; 3 HAUSDORFF-YOUNG INEQUALITY FOR WHITE NOISE ANALYSIS; REFERENCES; The Clark Formula of Generalized Wiener Functionals; 1 Introduction; 2 A Gel'fand triple associated with the classical Wiener space; 3 The spaces of test and generalized functions; 4 The Clark formula for generalized Wiener functionals; References Contents: A Quarter Century of White Noise Theory (H-H Kuo) Integral Transform and Segal-Bargmann Representation Associated to q -Charlier Polynomials (N Asai) Notions of Independence in Algebraic Probability Theory and Set Partition Statistics (Y Hashimoto) Some Thoughts on the Infinite Dimensional Harmonic Analysis (T Hida & Y Hara-Mimachi) A Treatment of Quantum Baker's Map by Chaos Degree (K Inoue et al.) Poisson Noise Analysis Based on the Lévy Laplacian (A Ishikawa et al.)