1 citations · 1 across the 8 of their papers we have counts for
10 papers
Local spectral gap and the Stuck--Zimmer conjecture
Simon Machado, Yuval Yifrach
We prove two new cases of the Stuck--Zimmer conjecture. First, we settle the Stuck--Zimmer conjecture for ergodic probability preserving actions of irreducible lattices (both unifo…
The Fully Inhomogeneous -Adic Littlewood Conjecture
Menny Aka, Alexander Gorodnik, Pankaj Vishe +1
We prove that for almost every , the \textit{fully inhomogeneous -adic Littlewood Conjecture} holds; namely, $$\forall\, δ\in\mathbb{R},\;\forall\, κ\in\mathbb{Z…
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 focus…
K-divergent lattices
Guy Lachman, Anurag Rao, Uri Shapira +1
We introduce a novel concept in topological dynamics, referred to as -divergence, which extends the notion of divergent orbits. Motivated by questions in the theory of inhomogen…
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…
The Equidistribution of Grids of Rings of Integers in Number Fields of Degrees 3,4 and 5
Yuval Yifrach
It was shown by M. Bhargava and P. Harron that for , the shapes of rings of integers of -number fields of degree become equidistributed in the space of shapes whe…
A Note about Weyl Equidistribution Theorem
Yuval Yifrach
H. Weyl proved in \cite{Weyl} that integer evaluations of polynomials are equidistributed mod 1 whenever at least one of the non-free coefficients is irrational. We use Weyl's resu…
Regular Random Sections of Convex Bodies and the Random Quotient-of-Subspace Theorem
Emanuel Milman, Yuval Yifrach
It was shown by G. Pisier that any finite-dimensional normed space admits an -regular -position, guaranteeing not only regular entropy estimates but moreover regular estimate…