Friesen, Martin: Semigroup methods for spatial birth-and-death processes. 2016
Inhalt
- Introduction
- Evolution equations in scales of Banach spaces
- Markov evolutions on 0
- General Markov jump processes
- Dynamics on the space of finite configurations
- Time-inhomogeneous dynamics
- Evolution of observables and states
- Evolution of quasi-observables and correlation measures
- Examples: Ecological models
- Time-homogeneous dynamics
- Markov evolutions on
- Preliminaries
- Main results
- Description of model
- Evolution of observables
- Evolution of states
- Ergodicity
- Vlasov scaling
- Extension to time-inhomogeneous intensities
- Finite system in ergodic environment
- Examples
- Markov evolutions on 2
- Preliminaries
- Harmonic analysis on 2
- Markov dynamics on 2
- General description of Vlasov scaling
- Description of model
- Evolution of observables
- Evolution of correlation functions
- Evolution of states
- Ergodicity
- Vlasov scaling
- Extension to time-inhomogeneous intensities
- Weak-coupling limit
- Examples
- Appendix