Next Article in Journal
Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Diesel Cycle
Next Article in Special Issue
Mean Hitting Time for Random Walks on a Class of Sparse Networks
Previous Article in Journal
Data-Driven Analysis of Nonlinear Heterogeneous Reactions through Sparse Modeling and Bayesian Statistical Approaches
Previous Article in Special Issue
Random Walks with Invariant Loop Probabilities: Stereographic Random Walks
Article

A Semi-Deterministic Random Walk with Resetting

1
Instituto Universitario Física y Matemáticas University of Salamanca, Plaza Merced s/n, 37008 Salamanca, Spain
2
Departament de Física de Matèria Condensada, University of Barcelona, Martí i Franquès 1, E-08028 Barcelona, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Eli Barkai
Entropy 2021, 23(7), 825; https://doi.org/10.3390/e23070825
Received: 4 June 2021 / Revised: 22 June 2021 / Accepted: 23 June 2021 / Published: 28 June 2021
(This article belongs to the Special Issue New Trends in Random Walks)
We consider a discrete-time random walk (xt) which, at random times, is reset to the starting position and performs a deterministic motion between them. We show that the quantity Prxt+1=n+1|xt=n,n determines if the system is averse, neutral or inclined towards resetting. It also classifies the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined. View Full-Text
Keywords: random walk with resetting; escape probabilities; exit times random walk with resetting; escape probabilities; exit times
Show Figures

Figure 1

MDPI and ACS Style

Villarroel, J.; Montero, M.; Vega, J.A. A Semi-Deterministic Random Walk with Resetting. Entropy 2021, 23, 825. https://doi.org/10.3390/e23070825

AMA Style

Villarroel J, Montero M, Vega JA. A Semi-Deterministic Random Walk with Resetting. Entropy. 2021; 23(7):825. https://doi.org/10.3390/e23070825

Chicago/Turabian Style

Villarroel, Javier, Miquel Montero, and Juan A. Vega. 2021. "A Semi-Deterministic Random Walk with Resetting" Entropy 23, no. 7: 825. https://doi.org/10.3390/e23070825

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop