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2021-06-08

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cc-by (c) Montero Torralbo, Miquel, 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/178702

Random walks with invariant loop probabilities: Stereographic random walks

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https://doi.org/10.3390/e23060729

Abstract

Random walks with invariant loop probabilities comprise a wide family of Markov processes with site-dependent, one-step transition probabilities. The whole family, which includes the simple random walk, emerges from geometric considerations related to the stereographic projection of an underlying geometry into a line. After a general introduction, we focus our attention on the elliptic case: random walks on a circle with built-in reflexing boundaries.

Subject

Rutes aleatòries (Matemàtica), Processos de Markov, Processos estocàstics

Subject (English)

Random walks (Mathematics), Markov processes, Stochastic processes

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Articles publicats en revistes (Física de la Matèria Condensada)

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MONTERO TORRALBO, Miquel. Random walks with invariant loop probabilities: Stereographic random walks. Entropy. 2021. Vol. 23, num. 6, pags. 729. ISSN 1099-4300. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/178702

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