Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/178913
Title: A Semi-deterministic random walk with resetting
Author: Villarroel, Javier
Montero Torralbo, Miquel
Vega, Juan Antonio
Keywords: Rutes aleatòries (Matemàtica)
Distribució (Teoria de la probabilitat)
Random walks (Mathematics)
Distribution (Probability theory)
Issue Date: 28-Jun-2021
Publisher: MDPI
Abstract: We consider a discrete-time random walk $(x_t)$ which at random times is reset to the starting position and performs a deterministic motion between them. We show that the quantity $\Pr \Big( x_{ t+1}= n+1 |x_{t}=n \Big), n\to \infty$ determines if the system is averse, neutral or inclined towards resetting. It also classifica the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined.
Note: Reproducció del document publicat a: https://doi.org/10.3390/e23070825
It is part of: Entropy, 2021, vol. 23, num. 7, p. 825-1-825-13
URI: http://hdl.handle.net/2445/178913
Related resource: https://doi.org/10.3390/e23070825
ISSN: 1099-4300
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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