@article{AFST_2024_6_33_5_1413_0, author = {Quentin Berger and Matthias Birkner and Linglong Yuan}, title = {Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {1413--1485}, publisher = {Universit\'e Paul Sabatier, Toulouse}, volume = {Ser. 6, 33}, number = {5}, year = {2024}, doi = {10.5802/afst.1802}, language = {en}, url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1802/} }