A Semi-deterministic random walk with resetting
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 re...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/178913 |
| Online Access: | https://hdl.handle.net/2445/178913 |
| Access Level: | Open access |
| Keyword: | Rutes aleatòries (Matemàtica) Distribució (Teoria de la probabilitat) Random walks (Mathematics) Distribution (Probability theory) |
| Summary: | 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. |
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