edited by J C García (Universidad Autonoma Metropolitana-Iztapalapa, Mexico) , R Quezada (Universidad Autonoma Metropolitana-Iztapalapa, Mexico) , & S B Sontz (CIMAT-Guanajuato, Mexico)

Table of Contents (129k)
Preface (79k)
Chapter 1: Linear Independence of the Renormalized Higher Powers of White Noise (248k)

This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies.

• Linear Independence of the Renormalized Higher Powers of White Noise (L Accardi & A Boukas)
• Brownian Dynamics Simulation for Protein Folding and Binding (T Ando)
• Quantum Fokker–Planck Models: The Lindblad and Wigner Approaches (A Arnold et al.)
• Hilbert Space of Analytic Functions Associated with a Rotation Invariant Measure (N Asai)
• Quantum Continuous Measurements: The Spectrum of the Output (A Barchielli & M Gregoratti)
• Characterization Theorems in Gegenbauer White Noise Theory (A Barhoumi et al.)
• A Problem of Powers and the Product of Spatial Product Systems (B V R Bhat et al.)
• Free Martingale Polynomials for Stationary Jacobi Processes (N Demni)
• Accardi Complementarity for -1/2 < µ < 0 and Related Results (L A Echavarría-Cepeda et al.)
• Quantum Models of Brain Activities I. Recognition of Signals (K-H Fichtner & L Fichtner)
• Kallman Decompositions of Endomorphisms of von Neumann Algebras (R Floricel)
• Schrödinger Equation, L^p-Duality and the Geometry of Wigner–Yanase–Dyson Information (P Gibilisco et al.)
• Multiplicative Renormalization Method for Orthogonal Polynomials (H-H Kuo)
• Quantum L_p and Orlicz Spaces (L E Labuschagne & W A Majewski)
• Vicious Random Walkers and Truncated Haar Unitaries (J I Novak)
• Incoherent Quantum Control (A Pechen & H Rabitz)
• Compromising Non-Demolition and Information Gaining for Qubit State Estimation (L Ruppert et al.)
• Positivity of Free Convolution Semigroups (M Schürmann & S Voß)
• Quasi-Free Stochastic Integrals and Martingale Representation (W J Spring)
• A Method of Recovering the Moments of a Probability Measure from Commutators (A I Stan & J J Whitaker)
• Description of Decoherence by Means of Translation-Covariant Master Equations and Lévy Processes (B Vacchini)
• Minimum Back-Action Measurement via Feedback (M Yanagisawa)