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ISBN: 1281897175 9786611897178 9812701540 9812565264 9789812565266 9789812701541 9781281897176 6611897178 Year: 2005 Publisher: Hackensack, N.J. World Scientific
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This volume includes papers by leading mathematicians in the fields of stochastic analysis, white noise theory and quantum information, together with their applications. The papers selected were presented at the International Conference on Stochastic Analysis: Classical and Quantum held at Meijo University, Nagoya, Japan from 1 to 5 November 2004. The large range of subjects covers the latest research in probability theory.
ISBN: 128137914X 9786611379148 9812774831 9789812774835 9789812385857 9812385851 Year: 2006 Publisher: Hackensack, N.J. World Scientific
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Sample Chapter(s)
Chapter 1: Recognition and Teleportation (494 KB)
Contents:
- Recognition and Teleportation (M Ohya et al.)
- Quantum Information and Spacetime Structure (I V Volovich)
- On Gaussian and Poisson White Noises (N Asai)
- Renormalization, Orthogonalization, and Generating Functions (N Asai et al.)
- Insider Trading in Continuous Time (E Barucci et al.)
- Existence, Uniqueness, Consistency and Dependency on Diffusion Coefficients of Generalized Solutions of Nonlinear Diffusion Equati
Book
ISBN: 9812812040 9789812812049 Year: 2008 Publisher: Hackensack, NJ : World Scientific,
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White noise analysis is an advanced stochastic calculus that has developed extensively since three decades ago. It has two main characteristics. One is the notion of generalized white noise functionals, the introduction of which is oriented by the line of advanced analysis, and they have made much contribution to the fields in science enormously. The other characteristic is that the white noise analysis has an aspect of infinite dimensional harmonic analysis arising from the infinite dimensional rotation group. With the help of this rotation group, the white noise analysis has explored new are
White noise theory. --- Gaussian processes. --- Distribution (Probability theory) --- Stochastic processes --- White noise analysis --- Stochastic analysis
ISBN: 1281934550 9786611934552 9812794611 9789812794611 9781281934550 9789810243333 9810243332 6611934553 Year: 2001 Publisher: Singapore River Edge, N.J. World Scientific
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The topics discussed in this book can be classified into three parts:. (i) Gaussian processes. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed. (ii) White noise analysis. This book includes the notes of the series of lectures delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called "generalized white noise functionals", and sometimes "Hida distribution". (
ISBN: 1281951773 9786611951771 9812810269 9789812810267 9789810245276 9810245270 9810245270 Year: 2001 Publisher: Singapore [River Edge] N.J. World Scientific
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This volume constitutes the proceedings of the 3rd International Conference on Quantum Information. Topics covered include: quantum computation; NP-complete problem; quantum communication; quantum field theory; Gaussian random fields; complexity in nature; and more.
Book
ISBN: 9812777326 9789812777324 Year: 2002 Publisher: Singapore River Edge, NJ World Scientific
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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.)<
ISBN: 128189849X 9786611898496 981270244X 9789812702449 9781281898494 9812560475 9789812560476 Year: 2004 Publisher: Singapore Hackensack, NJ World Scientific
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Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as ele
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