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. Language: English