Handbook of dynamics and probability Introduction I Dynamics Deterministic dynamical systems Linear and integrable systems Stability and long time behavior Ergodic theory Numerical Algorithms II Probability Probability Theory Discrete time stochastic processes Continuous time stochastic processes Information entropy III Probability in dynamical evolution Time evolution of broadened initial states Stochastic processes generated by observables Stochastic dynamical systems IV Probability in scientific reasoning Interpretations of probability Parameter estimation and hypothesis testing Bayesian inferences V Probability in physics Equilibrium statistical mechanics Non equilibrium statistical mechanics Foundational issues of statistical mechanics Quantum Mechanics A Classical Mechanics B Thermostatics C Fluid dynamics D Some proofs and explicit computations E Mathematical tools conventions and notation References Index.