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Thesis

Problems in random walks in random environments

Abstract:

Recent years have seen progress in the analysis of the heat kernel for certain reversible random walks in random environments. In particular the work of Barlow(2004) showed that the heat kernel for the random walk on the infinite component of supercritical bond percolation behaves in a Gaussian fashion. This heat kernel control was then used to prove a quenched functional central limit theorem. Following this work several examples have been analysed with anomalous heat kernel behaviour and...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Stochastic Analysis
Oxford college:
Merton College
Role:
Author
More by this author
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:06a12be2-b831-4c2a-87b1-f0abccfb9b8b
Local pid:
ora:8919
Deposit date:
2014-09-10

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