Quantum Information, Quantum Communication and Innovation (L Accardi) On the Quantum Liouville Space (I Antoniou & Z Suchanecki) L1-Theory for the Kolmogorov Operators of Stochstic Generalized Burgers Equations (M Rockner & Z Sobol) Homogenization of Infinite Dimensional Diffusion Processes with Periodic Drift Coefficients (S Albeverio et al.) Some Topics on White Noise Analysis (T Hida & Si Si) On a Design of Transition Probabilities and Estimates of Cover Times (S Ikeda et al.) Recent Progress on the White Noise Approach to the Levy Laplacian (H-H Kuo) An Infinite Dimensional Stochastic Process and the Levy Laplacian Acting on WND-Valued Functions (K Nishi & K Saito) Note on Poisson Noise (Si Si) Note on Linear Process (Win Win Htay) and other papers.
Quantum Information, Quantum Communication and Innovation (L Accardi) On the Quantum Liouville Space (I Antoniou & Z Suchanecki) L1-Theory for the Kolmogorov Operators of Stochstic Generalized Burgers Equations (M Rockner & Z Sobol) Homogenization of Infinite Dimensional Diffusion Processes with Periodic Drift Coefficients (S Albeverio et al.) Some Topics on White Noise Analysis (T Hida & Si Si) On a Design of Transition Probabilities and Estimates of Cover Times (S Ikeda et al.) Recent Progress on the White Noise Approach to the Levy Laplacian (H-H Kuo) An Infinite Dimensional Stochastic Process and the Levy Laplacian Acting on WND-Valued Functions (K Nishi & K Saito) Note on Poisson Noise (Si Si) Note on Linear Process (Win Win Htay) and other papers.
Some thoughts on the infinite dimensional harmonic analysis, T. Hida and Y.-H. Mimachi a quarter century of white noise theory, H.-H. Kuo the Clark formula of generalized Wiener functionals, Y.-J. Lee and H.-H. Shih a treatment of quantum Baker's map by chaos degree, K. Inoue et al inverse S-transform, Wick product and overcompleteness of exponential vectors, N. Obata a Hausdorff-Young inequality for white noise analysis, H.-H. Kuo et al integral transform and Segal-Bargmann representation associated to q-Charlier polynomials, N. Asai topics on complex Gaussian random fields, S. Si and W.W. Htay quantum information in space and time and theory of stochastic processes, I.V. Volovich notions of independence in algebraic probability theory and set partition statistics, Y. Hashimoto Poisson noise analysis based on the Levy Laplacian, A. Ishikawa et al study on the power of potential fluctuation in living cells, M. Yamanoi some properties of measure-valued processes with singular branching rate, I. Doku. (Part contents)
On Gaussian and Poisson White Noises (N Asai) Renormalization, Orthogonalization, and Generating Functions (I Kubo 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 Equations in Colombeau's Algebra (H Deguchi) On Mathematical Treatment of Quantum Communication Gate on Fock Space (W Freudenberg et al.) A Frontier of White Noise Analysis (T Hida) An Interacting Fock Space with Periodic Jacobi Parameter Obtained from Regular Graphs in Large Scale Limit (A Hora & N Obata) Error Exponents of Codings for Stationary Gaussian Channels (S Ihara) White Noise Analysis on Classical Wiener Space Revisited (Y-J Lee & H-H Shih) Fractional Brownian Motions and the L vy Laplacian (K Nishi et al.) Recognition and Teleportation (M Ohya) Jump Finding of a Stable Process (Si Si et al.) On Entropy Production of a One-Dimensional Lattice Conductor (S Tasaki) Quantum Information and Spacetime Structure (I V Volovich).
# Part 1: # White Noise Functional Approach to Polymer Entanglements (C C Bernido & M V Carpio-Bernido) # White Noise Analysis, Quantum Field Theory, and Topology (A Hahn) # A Topic on Noncanonical Representations of Gaussian Processes (Y Hibino) # Integral Representation of Hilbert-Schimdt Operators on Boson Fock Space (U C Ji) # The Dawn of White Noise Analysis (I Kubo) # White Noise Stochastic Integration (H-H Kuo) # Connes-Hida Calculus and Bismut-Quillen Superconnections (R Leandre & H Ouerdiane) # A Quantum Decomposition of Levy Processes (Y-J Lee & H-H Shih) # Generalized Entanglement and Its Classification (T Matsuoka) # A White Noise Approach to Fractional Brownian Motion (D Nualart) # Adaptive Dynamics in Quantum Information and Chaos (M Ohya) # Micro-Macro Duality in Quantum Physics (I Ojima) # White Noise Measures Associated to the Solutions of Stochastic Differential Equations (H Ouerdiane) # A Remark on Sets of Infinite Dimensional Spaces with Full or Zero Capacity (J Ren & M Rockner) # An Infinite Dimensional Laplacian in White Noise Theory (K Saito) # Invariance of Poisson Noise (Si Si et al.) # Nonequilibrium Steady States with Bose-Einstein Condensates (S Tasaki & T Matsui) # Multidimensional Skew Reflected Diffusions (G Trutnau) # On Quantum Mutual Type Entropies and Quantum Capacity (N Watanabe) # Part 2: # White Noise Calculus and Stochastic Calculus (L Accardi & A Boukas)
How we, human being, have evolved to such complexity from nothing?, M. Oda why and how physicists are interested in brain and mind?, M. Oda a method for information analysis of sequences by two-dimensional pattern formation with colouration, N. Obata et al teleportation of general quantum states, L. Accardi and M. Ohya on acerain integral formula in stochastic analysis, I. Doku comments on Nelson's quantum stochastic process - tunnelling time and domain structure, T. Hashimoto some of future directions in white noise analysis, T. Hida quantum computer - an overview, A. Hosoya on the computational power of bounded error quantum turing machines, T. Nishino mutual entropy in quantum information and information genetics, M. Ohya the Levy Laplacian as a self-adjoint operator, K. Saito and A.H. Tsoi on variation theory of structures and Kiho's problem, Y. Shikata and M. Tsukamoto topics on random fields, (i Si), extracting order from chaotic world through perceptual grouping processes in human sensory system, N. Sugie models of quantum computers and decoherence problem, I.V. Volovich analysis and control of decoherence in spin system, M. Yamanoi.
A Combinatorial Identity and Its Application to Gaussian Measure (L Accardi, H-H Kuo & A I Stan) Integral Representation of Positive Operator on Infinite Dimensional Space of Entire Functions (W Ayed & H Ouerdiane) Comparison of Some Methods of Quantum State Estimation (D Petz et al.) Entropic Bounds and Continual Measurements (A Barchielli & G Lupieri) Covariant Quantum Stochastic Flows and Their Dilation (V Belavkin & L Gregory) Alicki-Fannes and Hudson-Parthasarathy Evolution Equations (A C R Belton) Functional Integrals Over Smolyanov Surface Measures for Evolution Equations in a Riemannian Manifold (Ya A Butko) Quantum Probabilistic Model for the Financial Market (O Choustova) Note on the Time Operator (T Hida) An Analytic Double Product Integral (R L Hudson) To Quantum Mechanics Through Gaussian Integration and the Taylor Expansion of Functionals of Classical Fields (A Yu Khrennikov) A Theorem on Liftings of Statistical Operators (J Kupsch) Thermodynamical Formalism for Quasi-Local C*-Systems and Fermion Grading Symmetry (H Moriya) Micro-Macro Duality and an Attempt Towards Measurement Scheme of Quantum Fields (I Ojima) The Levy Laplacian Acting on Some Class of Levy Functionals (K Saito & A H Tsoi) On the General Form of the Integral-Sigma Lemma in Symmetric Fock Space (K Schubert) Spatial E0-Semigroups are Restrictions of Inner Automorphism Groups (M Skeide) A Characterization of Poisson Noise (Si Si) On Two Conjectures in Segal-Bargmann Analysis (S B Sontz) Note on Quantum Mutual Type Entropies and Capacity (N Watanabe) and other papers.
A generalization of Grover's algorithm, L. Accardi and R. Sabbadini characterization of product measures by an integrability condition, N. Asai tunnelling effect based on the Nelson's quantum stochastic process approach - comparison with a neutron spin echo experiment, T. Hasimoto and T. Tomomura Gibbs state, quadratic embedding and central limit theorem on large graphs, A. Hora algebraic stochastic differential equations and a Fubini theorem for symmetrized double quantum stochastic product integrals, R.L. Hudson some properties of a random field derived by variational calculus, K.S. Lee a stochastic expression of a semi-group generated by the Levy Laplacian, K. Nishi et al quantum logical gate based on electron spin resonance, M. Ohya et al. (Part contents).