First Passage with Restart in Discrete Time: with applications to biased random walks on the half-line

Abstract

In recent years, it has been well-established that adding a restart mechanism can alter the firstpassage statistics of a stochastic processes in useful and interesting ways. Though different mecha-nisms have been investigated, we derive a probability generating function for a discrete-time FirstPassage process Under Restart and use it to examine two examples, including a biased random walkon the non-negative integers.

arXiv comment11 pages, 11 figures

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Cited by in corpus (2)

• Optimal conditions for first passage of jump processes with resetting
• The Pólya and Sisyphus lattice random walks with resetting -- a first passage under restart approach