Mathematical aspects of decoherence induced classicality in quantum systems -- Hankel operators on Segal-Bargmann spaces -- Malliavin calculus and real Bott periodicity -- Heat equation associated with Lévy laplacian -- Zeta-regularized traces versus the Wodzicki residue as tools in quantum field theory and infinite dimensional geometry -- Quantum stochastic calculus applied to path spaces over Lie groups -- Martingale approximation for self-intersection local time of brownian motion -- Itô formula for generalized functionals of brownian bridge -- Fock space operator valued martingale convergence -- Stochastic integration for compensated Poisson measures and the Lévy-Itô formula -- Exponential ergodicity of classical and quantum Markov birth and death semigroups -- Asymptotic flux across hypersurfaces for diffusion processes -- Reflected backward stochastic differential equation with superlinear growth -- Semidynamical systems with the same order relation -- Infinite-dimensional Lagrange problem and application to stochastic processes -- On portfolio separation in the Merton problem with bankruptcy or default -- Square of white noise unitary evolutions on boson Fock space -- Numerical solution of Wick stochastic differential equations.