Limit Theorems for Random Walks in the Hyperbolic Space
arXiv:2312.06222
Abstract
We prove central and local limit theorems for random walks on the Poincar{é} hyperbolic space of dimension n {\v e} 2. To this end we use the ball model and describe the walk therein through the M{ö}bius addition and multiplication. This also allows to derive a corresponding law of large numbers.