Probability Towards 2000

Non-linear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis.- Trends and open problems in the theory of random dynamical systems.- Probability and Statistics: Selfdecomposability, finance and turbulence.- Some thoughts on extreme values.- Stochastic positive flows and quantum filtering dynamics.- Stein’s method: Some perspectives with applications.- Trilogy of couplings and general formulas for lower bound of spectral gap.- Stochasticity and chaos.- Decoupling inequalities: A second generation of martingale inequalities.- Stochastic differential equations on manifolds.- Extending flows of classical Markov processes to quantum flows in Foch space.- Quantum stochastic analysis after four decades.- Perfect simulation for the area interaction point-process.- Quantum probability seen by a classical probabilist.- Stochastic anticipating calculus.- Foundation of entropy, complexity and fractals in quantum systems.- Dirichlet forms on infinite dimensional ‘manifold-like’ state spaces: A survey of recent results and some prospects for the future.- Quantum stochastic calculus and applications — a review.- Coupling.- Some recent developments for queueing networks.