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- W1514892174 abstract "The main focus of this thesis is on coupling of random walks on the line with discrete step lengths and initial positions. After introducing the relevant coupling concepts, an Ornstein-type approach is used to establish necessary and su cient conditions for the existence of a successful exact coupling and a successful shift-coupling. This yields results on asymptotic loss of memory. These ndings are then applied to establish successful exact coupling of continuous-time regenerative processes with discrete regeneration times. After preliminaries on extension techniques, we nally construct a successful exact coupling of random walks with non-discrete (possibly singular) step lengths that are periodic in a certain sense." @default.
- W1514892174 created "2016-06-24" @default.
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- W1514892174 date "2010-05-31" @default.
- W1514892174 modified "2023-09-24" @default.
- W1514892174 title "On Coupling of Discrete Random Walks on the Line" @default.
- W1514892174 hasPublicationYear "2010" @default.
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