Communicated Ralf Spatzier

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...

A.Katok, Measure rigidity beyond uniform hyperbolicity: Invariant Measures for Cartan actions on Tori (2007)

Boris Kalinin, Anatole Katok, Communicated Ralf Spatzier

ABSTRACT. We prove that every smooth action α of Z k, k ≥ 2, on the (k+ 1)dimensional torus whose elements are homotopic to corresponding elements of an action α0 by hyperbolic linear maps...