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

Federico Sau

Research output: ThesisDissertation (TU Delft)

45 Downloads (Pure)

Abstract

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.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
Supervisors/Advisors
  • Redig, F.H.J., Supervisor
Award date30 Sep 2019
DOIs
Publication statusPublished - 2019

Keywords

  • Interacting particle systems
  • Duality
  • Markov processes
  • Hydrodynamics
  • Random walks

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