3 papers
math.DS2026
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…
math.DS2026
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 $…
math.DS2025
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 focus…