@inbook{cf5a37493c624dc395e4685657875115,
title = "Non-uniform measure rigidity for ℤk actions of symplectic type",
abstract = "We make a modest progress in the nonuniform measure rigidity program started in 2007 and its applications to the Zimmer program. The principal innovation is in establishing rigidity of large measures for actions of ℤk, k ≥ 2 with pairs of negatively proportional Lyapunov exponents which translates to applicability of our results to actions of lattices in higher rank semisimple Lie groups other than SL(n, ℝ), namely, Sp(2n, ℤ) and SO(n, n; ℤ).",
author = "Anatole Katok and Hertz, \{Federico Rodriguez\}",
note = "Funding Information: The work of the first author was based on research supported by NSF grants DMS-1002554. The work of the second author was partially supported by the Center for Dynamics and Geometry at Penn State and NSF grants DMS-1201326. Publisher Copyright: {\textcopyright} 2017 A. Katok and F. Rodriguez Hertz.",
year = "2017",
doi = "10.1090/conm/692/13923",
language = "English (US)",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "195--208",
booktitle = "Contemporary Mathematics",
address = "United States",
}