@article{PMIHES_2017__125__1_0, author = {Borodin, Alexei and Gorin, Vadim and Guionnet, Alice}, title = {Gaussian asymptotics of discrete $\beta $-ensembles}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {1--78}, publisher = {Springer Berlin Heidelberg}, address = {Berlin/Heidelberg}, volume = {125}, year = {2017}, doi = {10.1007/s10240-016-0085-5}, mrnumber = {3668648}, zbl = {1406.60008}, language = {en}, url = {http://www.numdam.org/articles/10.1007/s10240-016-0085-5/} }