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Thesis

Excursion sets of planar Gaussian fields

Abstract:

Gaussian fields are widely used for modelling spatial phenomena in disciplines such as cosmology, medical imaging and quantum mechanics. Geometric properties of the excursion sets of such fields are well studied, as they provide important test statistics in these areas. There is also theoretical interest in the large scale topological behaviour of excursion sets of Gaussian fields, due to recent results suggesting a connection with discrete percolation models. In this thesis we study the g...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
ORCID:
0000-0002-1725-4360
Role:
Supervisor
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Name:
Engineering and Physical Sciences Research Council
Funder identifier:
http://dx.doi.org/10.13039/501100000266
Grant:
1789809
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
Deposit date:
2020-08-18

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