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.
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 language | English |
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| Qualification | Doctor of Philosophy |
| Awarding Institution |
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| Supervisors/Advisors |
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| Award date | 18 Feb 2021 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Interacting particle systems
- Fluctuation fields
- Duality