内容

目次

A White-Noise Approach to Stochastic Calculus.- Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility.- Infinite-Dimensional Analysis and Analytic Number Theory.- Bell Numbers, Log-Concavity, and Log-Convexity.- 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-Itô Theorem in Terms of Wick Tensors.- Donsker’s Delta Function of Lévy 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 KM20-Langevin Equations for Stationary Flows (2): Construction Theorem.- Vector Bundle-Valued Poisson and Cauchy Kernel Functions on Classical Domains.- On Differential Operators in White Noise Analysis.- Stochastic Differentiation — A Generalized Approach.- A Stochastic Process Generated by the Lévy Laplacian.- Recurrence-Transience for Self-similar Additive Processes Associated with Stable Distributions.- Semigroup Domination on a Riemannian Manifold with Boundary.- TheProduct of Independent Random Variables with Regularly Varying Tails.- Entropy in Subordination and Filtering.- Asymptotic Windings of Brownian Motion Paths on Riemann Surfaces.