Uniqueness of large invariant measures for Z k actions with Cartan homotopy data (2009)
Anatole Katok, Rodriguez Hertz, Communicated Ralf Spatzier
ABSTRACT. Every C 2 action α of Z k, k ≥ 2, on the (k+ 1)-dimensional torus whose elements are homotopic to the corresponding elements of an action α0 by hyperbolic linear maps has exactly one...