Fluctuations for Interacting Particle Systems with Duality

Research output: ThesisDissertation (TU Delft)

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Abstract

This thesis is concerned with fluctuations of interacting particle systems that
enjoy the property of duality. The main contributions of this work are divided
in two main parts. In the first part we study some of the advantages of looking
at the density fluctuation field through the lenses of orthogonal self-dualities. In
the second part, we made use of self-duality and Mosco convergence of Dirichlet
forms to understand the coarsening behaviour of the symmetric inclusion process
when the process undergoes a phase transition known as condensation.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
Supervisors/Advisors
  • Redig, F.H.J., Supervisor
  • Carinci, G., Advisor, External person
Award date18 Feb 2021
DOIs
Publication statusPublished - 2021

Keywords

  • Interacting particle systems
  • Fluctuation fields
  • Duality

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