di Stefano, Andrea: Random walks interacting with evolving random environments and related kinetic equations. 2015
Inhalt
- Acknowledgements
- Introduction
- One-particle system in a random environment
- Random walks in Markov environments
- Microscopic description of the model
- Statistical description of the model: evolution of correlation functions
- Kinetic description of the model: mesoscopic limit
- Random walks in birth-and-death environments
- Non-equilibrium evolutions
- Evolution of quasi-observables
- Evolution of correlation functions
- Examples: random walks in a spatial ecological model of environment
- Mesoscopic evolutions: Vlasov-type scaling
- Random walks in a birth-and-death environment with aggregation
- Random walks in a Kawasaki model of environment via generating functionals
- Ovsjannikov-type theorem
- Biography