1. Preface

   Preface Pages: 1 - 1

2. A White-Noise Approach to Stochastic Calculus

   • Luigi Accardi
   • Yun Gang Lu
   • Igor V. Volovich

   OriginalPaper Pages: 3 - 25

3. Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility

   • Sergio Albeverio
   • Alexei Daletskii
   • Michael Röckner

   OriginalPaper Pages: 27 - 40

4. Infinite-Dimensional Analysis and Analytic Number Theory

   • Asao Arai

   OriginalPaper Pages: 41 - 78

5. Bell Numbers, Log-Concavity, and Log-Convexity

   • Nobuhiro Asai
   • Izumi Kubo
   • Hui-Hsiung Kuo

   OriginalPaper Pages: 79 - 87

6. Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis

   • Dong Myung Chung
   • Un Cig Ji

   OriginalPaper Pages: 89 - 100

7. Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation

   • Isamu Dôku

   OriginalPaper Pages: 101 - 117

8. Ornstein–Uhlenbeck Path Integral and Its Application

   • Hiroshi Ezawa

   OriginalPaper Pages: 119 - 135

9. Remarks on a Noncanonical Representation for a Stationary Gaussian Process

   • Yuji Hibino
   • Masuyuki Hitsuda
   • Hiroshi Muraoka

   OriginalPaper Pages: 137 - 139

10. A White Noise Approach to Stochastic Neumann Boundary-Value Problems

    • Helge Holden
    • Bernt Øksendal

    OriginalPaper Pages: 141 - 150

11. Quantum Cable Equations in Terms of Generalized Operators

    • Zhiyuan Huang
    • Caishi Wang
    • Xiangjun Wang

    OriginalPaper Pages: 151 - 164

12. Large Deviation Theorems for Gaussian Processes and Their Applications in Information Theory

    • Shunsuke Ihara

    OriginalPaper Pages: 165 - 174

13. Generalized Functions in Signal Theory

    • Friedrich Jondral

    OriginalPaper Pages: 175 - 184

14. Ergodic Properties of Random Positive Semigroups

    • Hiroshi Kunita

    OriginalPaper Pages: 185 - 201

15. Wiener–Itô Theorem in Terms of Wick Tensors

    • H.-H. Kuo
    • Y.-J. Lee
    • C.-Y. Shih

    OriginalPaper Pages: 203 - 218

16. Donsker's Delta Function of Lévy Process

    • Yuh-Jia Lee
    • Hsin-Hung Shih

    OriginalPaper Pages: 219 - 231

17. Approximation of Hunt Processes by Multivariate Poisson Processes

    • Zhi-Ming Michael Ma
    • Wei Sun

    OriginalPaper 01 September 2000 Pages: 233 - 243

18. Bayes Formula for Optimal Filter with n-ple Markov Gaussian Errors

    • Pranab K. Mandal
    • V. Mandrekar

    OriginalPaper Pages: 245 - 252

19. One Loop Approximation of the Chern–Simons Integral

    • Itaru Mitoma

    OriginalPaper Pages: 253 - 274

20. Quantum Mechanics and Brownian Motions

    • Mikio Namiki

    OriginalPaper Pages: 275 - 282

21. Complex White Noise and Coherent State Representations

    • Nobuaki Obata

    OriginalPaper Pages: 283 - 291

22. Complexity in Dynamics and Computation

    • Masanori Ohya

    OriginalPaper Pages: 293 - 306

23. On the Theory of KM2O-Langevin Equations for Stationary Flows (2): Construction Theorem

    • Yasunori Okabe

    OriginalPaper Pages: 307 - 322

24. Vector Bundle-Valued Poisson and Cauchy Kernel Functions on Classical Domains

    • K. Okamoto
    • M. Tsukamoto
    • K. Yokota

    OriginalPaper Pages: 323 - 332

25. On Differential Operators in White Noise Analysis

    • Jürgen Potthoff

    OriginalPaper 01 September 2000 Pages: 333 - 347

26. Stochastic Differentiation – A Generalized Approach

    • Mylan Redfern

    OriginalPaper Pages: 349 - 361

27. A Stochastic Process Generated by the Lévy Laplacian

    • Kimiaki Saitô

    OriginalPaper Pages: 363 - 373

28. Recurrence-Transience for Self-similar Additive Processes Associated with Stable Distributions

    • Ken-iti Sato
    • Kouji Yamamuro

    OriginalPaper Pages: 375 - 384

29. Semigroup Domination on a Riemannian Manifold with Boundary

    • Ichiro Shigekawa

    OriginalPaper Pages: 385 - 410

30. The Product of Independent Random Variables with Regularly Varying Tails

    • Takaaki Shimura

    OriginalPaper Pages: 411 - 432

31. Entropy in Subordination and Filtering

    • Si Si
    • Win Win Htay

    OriginalPaper Pages: 433 - 439

32. Asymptotic Windings of Brownian Motion Paths on Riemann Surfaces

    • Shinzo Watanabe

    OriginalPaper Pages: 441 - 464