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Recent Developments in Infinite-Dimensional Analysis and Quantum Probability : Papers in Honour of Takeyuki Hida's 70th Birthday - Luigi Accardi

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Papers in Honour of Takeyuki Hida's 70th Birthday

By: Luigi Accardi (Editor), Hui-Hsiung Kuo (Editor), Nobuaki Obata (Editor), Kimiaki Saito (Editor), Si Si (Editor)


Published: 30th September 2001
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Recent Developments in Infinite-Dimensional Analysis and Quantum Probability is dedicated to Professor Takeyuki Hida on the occasion of his 70th birthday. The book is more than a collection of articles. In fact, in it the reader will find a consistent editorial work, devoted to attempting to obtain a unitary picture from the different contributions and to give a comprehensive account of important recent developments in contemporary white noise analysis and some of its applications. For this reason, not only the latest results, but also motivations, explanations and connections with previous work have been included. The wealth of applications, from number theory to signal processing, from optimal filtering to information theory, from the statistics of stationary flows to quantum cable equations, show the power of white noise analysis as a tool. Beyond these, the authors emphasize its connections with practically all branches of contemporary probability, including stochastic geometry, the structure theory of stationary Gaussian processes, Neumann boundary value problems, and large deviations.

A White-Noise Approach to Stochastic Calculus
L. Accardi, et al. Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility
S. Albeverio, et al. Infinite-Dimensional Analysis and Analytic Number Theory
A. Arai
Bell Numbers, Log-Concavity, and Log-Convexity
N. Asai, et al. Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis
Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation
Ornstein-Uhlenbeck Path Integral and Its Application
Remarks on a Noncanonical Representation for a Stationary Gaussian Process
A White Noise Approach to Stochastic Neumann Boundary-Value Problems
Quantum Cable Equations in Terms of Generalized Operators
Large Deviation Theorems for Gaussian Processes and Their Applications in Information Theory
Generalized Functions in Signal Theory
Ergodic Properties of Random Positive Semigroups
Wiener-Ito Theorem in Terms of Wick Tensors
Donsker's Delta Function of Levy Process
Approximation of Hunt Processes by Multivariate Poisson Processes
Bayes Formula for Optimal Filter with n-ple Markov Gaussian Errors
One Loop Approximation of the Chern-Simons Integral
Quantum Mechanics and Brownian Motions
Complex White Noise and Coherent State Representations
Complexity in Dynamics and Computation
On the Theory of KM2O-Langevin Equations for Stationary Flows (2): Construction Theorem
Vector Bundle-Valued Posson and Cauchy Kernel Functions on Classical Domains
On Differential Operators in White Noise Analysis
Stochastic Differentiation e- A Generalized Approach
A Stochastic Process Generated by the Levy Laplacian
Recurrence-Transience for Self-similar Additive Processes Associated with Stable Distributions
Semigroup Domination on a Riemannian Manifold with Boundary
The Product of Independent Random Variables with Regularly Varying Tails
Entropy in Subordination and Filtering
Asymptotic Windings of Brownian Motion Paths on Riemann Surfaces
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792370161
ISBN-10: 0792370163
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 464
Published: 30th September 2001
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.13 x 16.51  x 2.54
Weight (kg): 1.0
Edition Number: 63