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math.PR2022
Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
In a recent work we introduced a semi-Markovian discrete-time generalization of the telegraph process. We referred this random walk to as squirrel random walk (SRW). The SRW is a d…
math.PR2022★ 6 cited
Squirrels can remember little: A random walk with jump reversals induced by a discrete-time renewal process
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
We consider a class of discrete-time random walks with directed unit steps on the integer line. The direction of the steps is reversed at the time instants of events in a discrete-…