16 citations · 48 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
Joinings classification and applications [after Einsiedler and Lindenstruass]
Menny Aka
This is the text accompanying my Bourbaki seminar on the work of Einsiedler and Lindenstrauss on joinings. The first five sections surveys their proof of the classification of join…
On effective equidistribution for quotients of SL(d)
Menny Aka, Manfred Einsiedler, Han Li +1
We prove the first case of polynomially effective equidistribution of closed orbits of semisimple groups with nontrivial centralizer. The proof relies on uniform spectral gap, buil…
Duke's Theorem for subcollections
Menny Aka, Manfred Einsiedler
We combine effective mixing and Duke's Theorem on closed geodesics on the modular surface to show that certain subcollections of the collection of geodesics with a given discrimina…
On the evolution of continued fractions in a fixed quadratic field
Menny Aka, Uri Shapira
We prove that the statistics of the period of the continued fraction expansion of certain sequences of quadratic irrationals from a fixed quadratic field approach the `normal' stat…