@article{AIHPC_2022__39_2_419_0,
     author = {Blumenthal, Alex and Yang, Yun},
     title = {Positive {Lyapunov} exponent for random perturbations of predominantly expanding multimodal circle maps},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {419--455},
     volume = {39},
     number = {2},
     year = {2022},
     doi = {10.4171/aihpc/11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/11/}
}