Hydrodynamic Limit for the Symmetric Inclusion Process with Slowly Varying Inhomogeneities

Master Thesis (2022)
Author(s)

A. Rissalah (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Contributor(s)

FRANK REDIG – Mentor (TU Delft - Applied Probability)

Simone Floreani – Graduation committee member (TU Delft - Applied Probability)

Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright
© 2022 Abdellah Rissalah
More Info
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Publication Year
2022
Language
English
Copyright
© 2022 Abdellah Rissalah
Graduation Date
29-08-2022
Awarding Institution
Delft University of Technology
Programme
['Applied Mathematics']
Faculty
Electrical Engineering, Mathematics and Computer Science
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Abstract

In this thesis we study an interacting particle system: the Symmetric Inclusion Process with slowly varying inhomogeneities (SIP(α)). In the SIP(α) particles display random walk like behaviour subjected to an attractive type of interaction whilst evolving in an inhomogeneous environment. We set out to prove its hydrodynamic limit. The main tool helping us for obtaining the hydrodynamic limit is the self-duality property of the process.

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