Random walks with invariant loop probabilities: Stereographic random walks

Montero Torralbo, Miquel2021-06-282021-06-282021-06-081099-4300https://hdl.handle.net/2445/178702Random 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.19 p.application/pdfengcc-by (c) Montero Torralbo, Miquel, 2021https://creativecommons.org/licenses/by/4.0/Rutes aleatòries (Matemàtica)Processos de MarkovProcessos estocàsticsRandom walks (Mathematics)Markov processesStochastic processesRandom walks with invariant loop probabilities: Stereographic random walksinfo:eu-repo/semantics/article7129952021-06-28info:eu-repo/semantics/openAccess