@article{JEP_2023__10__549_0, author = {Aoun, Richard and Mathieu, Pierre and Sert, Cagri}, title = {Random walks on hyperbolic spaces: second order expansion of the rate function at the drift}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {549--573}, publisher = {\'Ecole polytechnique}, volume = {10}, year = {2023}, doi = {10.5802/jep.225}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.5802/jep.225/} }