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Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Edited by Luigi Accardi, Hui-Hsiung Kuo, Nobuaki Obata, Kimiaki Saito, Si Si and Ludwig Streit

in Springer Books from Springer

Date: 2001
ISBN: 978-94-010-0842-6
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Chapters in this book:

A White-Noise Approach to Stochastic Calculus
Luigi Accardi, Yun Gang Lu and Igor V. Volovich
Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility
Sergio Albeverio, Alexei Daletskii, Yuri Kondratiev and Michael Röckner
Infinite-Dimensional Analysis and Analytic Number Theory
Asao Arai
Bell Numbers, Log-Concavity, and Log-Convexity
Nobuhiro Asai, Izumi Kubo and Hui-Hsiung Kuo
Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis
Dong Myung Chung and Un Cig Ji
Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation
Isamu Dôku
Ornstein-Uhlenbeck Path Integral and Its Application
Hiroshi Ezawa
Remarks on a Noncanonical Representation for a Stationary Gaussian Process
Yuji Hibino, Masuyuki Hitsuda and Hiroshi Muraoka
A White Noise Approach to Stochastic Neumann Boundary-Value Problems
Helge Holden and Bernt Øksendal
Quantum Cable Equations in Terms of Generalized Operators
Zhiyuan Huang, Caishi Wang and Xiangjun Wang
Large Deviation Theorems for Gaussian Processes and Their Applications in Information Theory
Shunsuke Ihara
Generalized Functions in Signal Theory
Friedrich Jondral
Ergodic Properties of Random Positive Semigroups
Hiroshi Kunita
Wiener-Itô Theorem in Terms of Wick Tensors
H. -H. Kuo, Y. -J. Lee and C. -Y. Shih
Donsker’s Delta Function of Lévy Process
Yuh-Jia Lee and Hsin-Hung Shih
Approximation of Hunt Processes by Multivariate Poisson Processes
Zhi-Ming Ma, Michael Röckner and Wei Sun
Bayes Formula for Optimal Filter with n-ple Markov Gaussian Errors
Pranab K. Mandal and V. Mandrekar
One Loop Approximation of the Chern-Simons Integral
Itaru Mitoma
Quantum Mechanics and Brownian Motions
Mikio Namiki
Complex White Noise and Coherent State Representations
Nobuaki Obata
Complexity in Dynamics and Computation
Masanori Ohya
On the Theory of KM2O-Langevin Equations for Stationary Flows (2): Construction Theorem
Yasunori Okabe
Vector Bundle-Valued Poisson and Cauchy Kernel Functions on Classical Domains
K. Okamoto, M. Tsukamoto and K. Yokota
On Differential Operators in White Noise Analysis
Jürgen Potthoff
Stochastic Differentiation — A Generalized Approach
Mylan Redfern
A Stochastic Process Generated by the Lévy Laplacian
Kimiaki Saitô
Recurrence-Transience for Self-similar Additive Processes Associated with Stable Distributions
Ken-Iti Sato and Kouji Yamamuro
Semigroup Domination on a Riemannian Manifold with Boundary
Ichiro Shigekawa
The Product of Independent Random Variables with Regularly Varying Tails
Takaaki Shimura
Entropy in Subordination and Filtering
Si Si and Win Win Htay
Asymptotic Windings of Brownian Motion Paths on Riemann Surfaces
Shinzo Watanabe

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DOI: 10.1007/978-94-010-0842-6

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