@article{JEMS_2007_9_1_a6, author = {Karma Dajani and Martijn de Vries}, title = {Invariant densities for random $\beta$-expansions}, journal = {Journal of the European Mathematical Society}, pages = {157--176}, publisher = {mathdoc}, volume = {9}, number = {1}, year = {2007}, doi = {10.4171/jems/76}, url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/76/} }