Oscillation properties of stopped random walks on infinite tress

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Date

2014

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Kerimov, Azer

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Language

English

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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.

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Degree Discipline

Mathematics

Degree Level

Master's

Degree Name

MS (Master of Science)

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Published Version (Please cite this version)