Browsing by Subject "Random walks (Mathematics)"

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    Oscillation properties of stopped random walks on infinite tress
    (2014) Öner, Abdullah
    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.