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Thesis

Pathwise and probabilistic analysis in the context of Schramm-Loewner Evolutions (SLE)

Abstract:

On the pathwise analysis side, this thesis contains results between Rough Path Theory and Schramm-Loewner Evolutions (SLE). In the study of Rough Differential Equations questions such as continuity of the solutions, methods of approximations of solutions and their uniqueness/non-uniqueness depending on the behavior of parameters of the equation, appear naturally. We adapt these type of questions to the study of the backward and forward Loewner differential equation in the upper half-plane,...

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  • (Dissemination version, pdf, 923.0KB)

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
ORCID:
0000-0002-1725-4360
Role:
Supervisor
European Research Council More from this funder
Engineering and Physical Sciences Research Council More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
UUID:
uuid:0b56798c-4e85-40e9-a1f0-6e1a35ee682c
Deposit date:
2020-05-09

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