Symmetric interacting particle systems

Symmetric interacting particle systems: Self-duality and hydrodynamics in dynamic random environment

Sau, F. (TU Delft Applied Probability)

Redig, F.H.J. (promotor)

Delft University of Technology

2019-09-30

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.

Interacting particle systems
Duality
Markov processes
Hydrodynamics
Random walks

https://doi.org/10.4233/uuid:a0b4bc54-ec9b-4eb7-92d2-6a751993e5d9

Institutional Repository

doctoral thesis

© 2019 F. Sau