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.

Table of Contents

Linear Independence of the Renormalized Higher Powers of White Noise (L Accardi & A Boukas); Brownian Dynamics Simulation for Protein Holding and Binding (T Ando); Quantum Fokker-Planck Models: the Lindblad and the Wigner Approaches (A Arnold et al.); Free Martingale Polynomials for Stationary Jacobi Processes (N Demni); Accardi Complementarity for -1/2 < A < 0 and Related Results (L A Echavarria et al.); Quantum Models of Brain Activity I. Recognition of Signals (K H Fichtner & L Fichtner); Central Decompositions of Endomorphisms of von Neumann Algebras (R Floricel); Schrodinger Equation, Lp-Duality and the Geometry of Wigner-Yanase-Dyson Information (P Gibilisco et al.); Multiplicative Renormalization Method for Orthogonal Polynomials (H H Kuo); Quantum Lp and Orlicz Spaces (L E Labuschagne & W 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 Rupper et al.); Positivity of Free Convolution Semigroups (M Schurman & S VoA ); 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 Equation and Levy Processes (B Vachinni); and other papers