4 papers
The Structure of Almost Stationary Measures
Ilya Gekhtman, Simon Machado, Omri Solan +1
Let be a higher-rank simple Lie group acting on a space . A theorem of Nevo and Zimmer asserts that every ergodic stationary probability measure on is either -invaria…
Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and Stück-Zimmer Theorem
Ilya Gekhtman, Simon Machado, Omri Solan +1
Fraczyk and Gelander proved in \cite{FG} that for any simple Lie group of high rank and for every non-lattice discrete subgroup , the injectivity radius of points in…
Directional -Adic Littlewood Conjecture for Algebraic Vectors
Yuval Yifrach
For every vector $\overline α\in \RR^n$ and for every rational approximation $(\overline p,q)\in \RR^n\times\RR$ we can associate the displacement vector . We foc…
Tori Approximation of Families of Diagonally Invariant Measures
Omri Nisan Solan, Yuval Yifrach
We approximate any portion of any orbit of the full diagonal group in the space of unimodular lattices in $\RR^n$ using a fixed proportion of a compact -orbit. Using those a…