@article{10_4007_annals_2018_188_1_6,
     author = {Vadim Kaloshin and Alfonso Sorrentino},
     title = {On the local {Birkhoff} conjecture for convex billiards},
     journal = {Annals of mathematics},
     pages = {315--380},
     publisher = {mathdoc},
     volume = {188},
     number = {1},
     year = {2018},
     doi = {10.4007/annals.2018.188.1.6},
     mrnumber = {3815464},
     zbl = {06890814},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2018.188.1.6/}
}