%0 Journal Article %A Michael Hochman %T Geometric rigidity of $\times m$ invariant measures %J Journal of the European Mathematical Society %D 2012 %P 1539-1563 %V 14 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/340/ %R 10.4171/jems/340 %F JEMS_2012_14_5_a6