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Stochastic analysis and stochastic PDEs on fractals

Abstract:

Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intuitive starting point is to observe that on many fractals, one can define diffusion processes whose law is in some sense invariant with respect to the symmetries and self-similarities of the fractal. These can be interpreted as fractal-valued counterparts of standard Brownian motion on Rd. One can study these diffusions directly, for example by computing heat kernel and hitting time estimates...

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Division:
MPLS
Department:
Mathematical Institute
Department:
University of Oxford
Role:
Author

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
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UUID:
uuid:43a7af74-c531-424a-9f3d-4277138affbb
Deposit date:
2018-08-05

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