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Vinsamlegast notið þetta auðkenni þegar þið vitnið til verksins eða tengið í það: http://hdl.handle.net/1946/5480

Titill: 
  • On Coupling of Discrete Random Walks on the Line
Námsstig: 
  • Meistara
Leiðbeinandi: 
Útdráttur: 
  • 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 sufficient conditions for the existence of a successful
    exact coupling and a successful shift-coupling. This yields results on asymptotic loss of memory. These findings are then applied to establish successful exact coupling of continuous-time regenerative processes with discrete regeneration times. After preliminaries on extension techniques, we finally construct a successful exact coupling of random walks with non-discrete (possibly singular) step lengths that are periodic in a certain sense.

Samþykkt: 
  • 31.5.2010
URI: 
  • http://hdl.handle.net/1946/5480


Skrár
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