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 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.
Probability Measures in Terms of Creation, Annihilation and Neutral Operators (L Accardi et al.) Generating Function Methods for Orthogonal Polynomials and Jacobi-Szego Parameters (N Asai et al.) Multiquantum Markov Semigroups, Interacting Branching Processes and Nonlinear Kinetic Equations. Finite Dimensional Case (V Belavkin & C Williams) A Note on Vacuum-Adapted Semimartingales and Monotone Independence (A Belton) Regular Quantum Stochastic Cocycles have Exponential Product Systems (B V R Bhat & M Lindsay) Quantum Mechanics on the Circle Through Hopf q-Deformations of the Kinematical Algebra with Possible Applications to Levy Processes (V K Dobrev et al.) On Algebraic and Quantum Random Walks (D Ellinas) Dual Representations for the Schrodinger Algebra (P H Feinsilver & R Schott) A Limit Theorem for Conditionally Independent Beam Splittings (K H Fichtner et al.) On Quantum Logical Gates on a General Fock Space (W Feudenberg et al.) On an Argument of David Deutsch (R Gill) The Method of Double Product Integrals in Quantization of Lie Bialgebras (R Hudson) Asymptotics of Large Truncated Haar Unitary Matrices (J Reffy) Three Ways to Representations of Ba(E) (M Skeide) On Topological Entropy of Quotients and Extensions (J Zacharias) and other papers.
# 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)
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)
Feynman functional integrals and the stochastic limit, L. Accardi dynamical programming, filtering and control of quantum Markov processes, V.P. Belavkin quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrodinger equation, A.M. Chebotarev on phase transitions, M. Corgini existence of attractors for dissipative Schrodinger equation in R, M.A. Astaburuaga and V.H. Cortes reduction of noise by squeezed vacuum, F. Fagnola et al outgoing states and resonant behaviour, C. Fernandez stochastic Dyson series and the solution to associated stochastic evolution equations, G.W. Johnson and G. Kallianpur norm estimates for a class of semigroups of Schrodinger type, H. Prado on the recurrence of quantum dynamical semigroups, R. Rebolledo collective interactions in CQED, C. Saavedra T-product and Wiener Measure, D.P. Sankovich from Feynman-Kac formulae to Feynman-Kac semigroups, J.A. van Casteren completely positive quantum stochastic flows with infinite degrees of freedom, J. Lindsay and S.J. Wills characterization of continuous operators on infinite dimension distribution spaces, S.-L. Luo and J.-A. Yan a special time-dependent quantum invariant and a general theorem on quantum symmetries, J.-G. Zambrini.
Markov property - recent developments on the quantum Markov property, L. Accardi and F. Fidaleo stationary quantum stochastic processes from the cohomological point-of-view, G.G. Amosov the Feller property of a class of quantum Markov semigroups II, R. Carbone and F. Fagnola recognition and teleportation, K.-H. Fichtner et al prediction errors and completely positive maps, R. Gohm multiplicative properties of double stochastic product integrals, R.L. Hudson isometric cocycles related to beam splittings, V. Liebscher multiplicativity via a hat trick, J.M. Lindsay and S.J. Wills dilation theory and continuous tensor product systems of Hilbert modules, M. Skeide quasi-free fermion planar quantum stochastic integrals, W.J. Spring and I.F. Wilde. (Part contents).