81 citations · 223 across the 53 of their papers we have counts for
60 papers
Extreme value laws for intrinsic Diophantine approximation on spheres
Alexander Gorodnik, Zouhair Ouaggag
We study intrinsic Diophantine approximation on the sphere , measured by the quality of the best rational approximation available at a given height. We show that, for $d\geq 3…
Cone upgrade for effective equidistribution and weighted Khintchine--Schmidt theorem on fractals
Gaurav Aggarwal, Alexander Gorodnik
We prove a fractal analogue of the weighted theorems of Khintchine and Schmidt for products of self-similar measures on the real line whose defining iterated function systems share…
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…
Automorphic density estimates and optimal Diophantine exponents
Mikolaj Fraczyk, Alexander Gorodnik, Amos Nevo
The present paper is devoted to establishing an optimal approximation exponent for the action of an irreducible uniform lattice subgroup of a product group on its proper factors. P…
Decorrelation estimates for translated measures under diagonal flows
Michael Björklund, Reynold Fregoli, Alexander Gorodnik
A profound link between Homogeneous Dynamics and Diophantine Approximation is based on an observation that Diophantine properties of a real matrix are encoded by the correspond…
Stationary measures for -actions on homogeneous bundles over flag varieties
Alexander Gorodnik, Jialun Li, Cagri Sert
Let be a real semisimple Lie group with finite centre and without compact factors, a parabolic subgroup and a homogeneous space of admitting an equivariant projec…