Version 1
: Received: 22 October 2024 / Approved: 23 October 2024 / Online: 24 October 2024 (03:14:04 CEST)
How to cite:
Sun, X.; Li, A.; Zhu, S.; Zhu, F. Random Walk on T-Fractal with Stochastic Resetting. Preprints2024, 2024101771. https://doi.org/10.20944/preprints202410.1771.v1
Sun, X.; Li, A.; Zhu, S.; Zhu, F. Random Walk on T-Fractal with Stochastic Resetting. Preprints 2024, 2024101771. https://doi.org/10.20944/preprints202410.1771.v1
Sun, X.; Li, A.; Zhu, S.; Zhu, F. Random Walk on T-Fractal with Stochastic Resetting. Preprints2024, 2024101771. https://doi.org/10.20944/preprints202410.1771.v1
APA Style
Sun, X., Li, A., Zhu, S., & Zhu, F. (2024). Random Walk on T-Fractal with Stochastic Resetting. Preprints. https://doi.org/10.20944/preprints202410.1771.v1
Chicago/Turabian Style
Sun, X., Shaoxiang Zhu and Feng Zhu. 2024 "Random Walk on T-Fractal with Stochastic Resetting" Preprints. https://doi.org/10.20944/preprints202410.1771.v1
Abstract
In this study, we explore the impact of stochastic resetting on the dynamics of random walks on a T-fractal network. By employing the generating function technique, we establish a recursive relation between the generating function of the first passage time (FPT) and derive a relationship between the mean first passage time (MFPT) with resetting and the generating function of the FPT without resetting. Our analysis covers various scenarios for a random walker reaching a target site from the starting position, and for each case, we determine the optimal resetting probability γ* that minimizes the MFPT. We compare the results with the MFPT without resetting and find that the inclusion of resetting significantly enhances search efficiency, particularly as the size of the network increases. Our findings highlight the potential of stochastic resetting as an effective strategy for optimizing search processes in complex networks, offering valuable insights for applications in various fields where efficient search strategies are crucial.
Keywords
random walk; T-fractal; stochastic resetting; generating function; first passage time
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
