Publication: Joint Invariance Principles for Random Walks with Positively and Negatively Reinforced Steps
Joint Invariance Principles for Random Walks with Positively and Negatively Reinforced Steps
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Bertenghi, M., & Rosales-Ortiz, A. (2022). Joint Invariance Principles for Random Walks with Positively and Negatively Reinforced Steps. Journal of Statistical Physics, 189(3), 35. https://doi.org/10.1007/s10955-022-02993-5
Abstract
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Abstract
Given a random walk $$(S_n)$$ with typical step distributed according to some fixed law and a fixed parameter $$p \in (0,1)$$, the associated positively step-reinforced random walk is a discrete-time process which performs at each step, with probability $$1-p$$, the same step as $$(S_n)$$
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- Bertenghi, Marco
- Rosales-Ortiz, Alejandro
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Citations
Bertenghi, M., & Rosales-Ortiz, A. (2022). Joint Invariance Principles for Random Walks with Positively and Negatively Reinforced Steps. Journal of Statistical Physics, 189(3), 35. https://doi.org/10.1007/s10955-022-02993-5
