Biased random walks with a truncated stochastic resetting mechanism

Authors

  • Adriana Marie T. Salvador ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Inspired by the idea there are no unlimited chances in life, we study a truncated stochastic resetting mechanism that limits the chances of a biased random walker to perform restarts. We study the effects of such mechanism on the first four cumulants of the walker's occupation probability mass functions. We found that incorporating finite resets to biased random walks temporarily stops the mean and variance from blowing up and introduces temporary spikes to skewness and kurtosis. Our work provides a potential gateway to studying other variants of truncation to resetting and other stochastic switching phenomena.

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Issue

Article ID

SPP-2024-PC-15

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2024-06-26

How to Cite

[1]
AMT Salvador and JPH Esguerra, Biased random walks with a truncated stochastic resetting mechanism, Proceedings of the Samahang Pisika ng Pilipinas 42, SPP-2024-PC-15 (2024). URL: https://proceedings.spp-online.org/article/view/SPP-2024-PC-15.