Resetting evanescent one-dimensional random walk and diffusion

Authors

  • Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Resetting has emerged as a cross-cutting theme in stochastic processes in physics, biology, chemistry, engineering, economics, and other areas. Previous works on stochastic resetting have been done in contexts such as first-passage and search theory, stochastic thermodynamics, optimization theory, animal foraging, protein-DNA interactions, chemical reaction processes, stock-market crashes, and population dynamics. The talk will first discuss generic effects of the introduction of stochastic resetting such as the existence of non-equilibrium steady states, and the non-monotonic dependence of mean first passage times on the resetting rate. New results on the interplay of evanescence or mortality and resetting will be presented. In particular, we will discuss how the introduction of resetting modifies characteristics of evanescent one-dimensional random walks and diffusion processes such as occupation probabilities, eventual exit probabilities, eventual return probabilities, conditional first passage times, and the mean number of visited sites.

About the Speaker

Jose Perico Esguerra, National Institute of Physics, University of the Philippines Diliman

Jose Perico Esguerra obtained his PhD degree in Physics from the University of the Philippines Diliman in 2001. He is now a Professor at the National Institute of Physics and faculty member of its Theoretical Physics Group. Perry's research is in the fields of statistical mechanics and mathematical physics, with recent focus on stochastic processes and anomalous diffusion. He served as President of the Samahang Pisika ng Pilipinas from 2009 to 2010. He has led the Philippine International Physics Olympiad team for several years and chairs the Philippine National Astronomy Education Coordinator team for the IAU Office of Astronomy for Education.

Downloads

Issue

Article ID

SPP-2022-INV-2B-03

Section

Invited Presentations

Published

2022-10-11

How to Cite

[1]
JP Esguerra, Resetting evanescent one-dimensional random walk and diffusion, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-INV-2B-03 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-INV-2B-03.