Öner, Abdullah2016-01-082016-01-082014http://hdl.handle.net/11693/18349Ankara : The Department of Mathematics and the Granduate School of Engineering and Science of Bilkent University, 2014.Thesis (Master's) -- Bilkent University, 2014.Includes bibliographical references leaves leaf 45.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.vi, 45 leavesEnglishinfo:eu-repo/semantics/openAccessBranching random walkAbsorption probabilitiesExpected absorption timesQA274.73 .O54 2014Random walks (Mathematics)Markov processes.ThesisB148291