Limit Theorems for Random Walks in the Hyperbolic Space
A local limit theorem for random walks in the hyperbolic Poincaré space of dimension $$n\ge 2$$ is proved. To this end, we use the model of a ball and describe the walk in it by means of the Möbius addition and multiplication. This also enables us to derive the corresponding law of large numbers.
Authors
- Stéphane Menozzi (ORCID: https://orcid.org/0000-0001-5069-6067)
- Valentin Dmitrievich Konakov (ORCID: https://orcid.org/0000-0001-8331-4950)
Institutions
- National Research University Higher School of Economics (RU)
- Université d'Évry Val-d'Essonne (FR)
Publication Details
- Journal
- Mathematical Notes
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1134/s0001434625030083
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00