Year: 2025
Type: article
Abstract: 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.
Source: Mathematical Notes
Authors: V. D. Konakov, S. Menozzi
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4411339431