In this thesis, we study scaling and detailed properties of a class of conservative interacting particle systems. In particular, in the first part we derive the hydrodynamic equation for the symmetric exclusion process in presence of dynamic random environment. The second part of the thesis focuses on a detailed property of conservative particle systems and, more generally, of Markov processes, called duality. There, we study and characterize duality and self-duality relations for so-called symmetric interacting particle systems.
|Qualification||Doctor of Philosophy|
|Award date||30 Sep 2019|
|Publication status||Published - 2019|
- Interacting particle systems
- Markov processes
- Random walks