Speaker
Description
First passage under restart has recently emerged as a conceptual framework to study various stochastic processes under a restart mechanism. Restart has been shown to expedite the completion of many first passage processes which otherwise would take a longer time to finish. However, most of the studies so far focused on continuous time and space, while discrete processes received less attention. In this talk, I will bridge this gap by presenting a renewal approach for studying discrete space and time first passage processes under discrete time resetting. Using this general set-up, I compute the moments and the probability mass function of the restarted first passage time and derive a sufficient criterion for geometric restart to be beneficial. I will demonstrate the usefulness of this method by applying it to one-dimensional lattice random walks in confined geometry.
References
[1] Bonomo, O.L. and Pal, A., 2021. First passage under restart for discrete space and time: Application to one-dimensional confined lattice random walks. Physical Review E, 103(5), p.052129.
[2] Bonomo, O.L. and Pal, A., 2021. The P\'{o} lya and Sisyphus lattice random walks with resetting--a first passage under restart approach. arXiv preprint arXiv:2106.14036.
