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      Oscillation properties of stopped random walks on infinite tress

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      Embargo Lift Date: 2016-08-25
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      Author
      Öner, Abdullah
      Advisor
      Kerimov, Azer
      Date
      2014
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      We investigate a random walk on a branching tree with vertices labeled 1; 2; : : : ; r which terminates if two consecutive vertices of a walk are labeled with close numbers. It is proved that expected absorption times and absorption probabilities have surprising oscillating dependencies on starting states.
      Keywords
      Branching random walk
      Absorption probabilities
      Expected absorption times
      Permalink
      http://hdl.handle.net/11693/18349
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      • Dept. of Mathematics - Master's degree 124
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