@article{10.1214/24-AIHP1468, author = {Nils Berglund}, title = {{Reducing metastable continuous-space {M}arkov chains to {M}arkov chains on a finite set}}, volume = {61}, journal = {Annales de l'Institut Henri Poincaré, Probabilités et Statistiques}, number = {3}, publisher = {Institut Henri Poincaré}, pages = {2036 -- 2073}, keywords = {large deviations, metastability, quasistationary distribution, Random Poincaré map, trace process}, year = {2025}, doi = {10.1214/24-AIHP1468}, URL = {https://doi.org/10.1214/24-AIHP1468} }