Fluctuations for Interacting Particle Systems with Duality

Doctoral thesis (2021)

Authors

M.A. Ayala Applied Probability - EEMCS
Research Group
Applied Probability (EEMCS) (TU Delft)
Copyright: © 2021 M.A. Ayala Valenzuela
DOI: https://doi.org/10.4233/uuid:0e66fcb3-691e-4737-be5f-2a57dbce6f6b
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Published Date

2021

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

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.

Files

DissertationMarioAyala.pdf
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