Handbook of Dynamics and Probability
Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2022, 2022
|
| Edition: | 1st ed. 2022 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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