Handbook of Dynamics and Probability (2022)Hardcover - 2022, 20 November 2021

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