22 citations · 25 across the 7 of their papers we have counts for
7 papers
Polynomially effective equidistribution for unipotent orbits in products of factors
Elon Lindenstrauss, Amir Mohammadi, Lei Yang
We sketch the proof of an effective equidistribution theorem for one-parameter unipotent subgroups in -arithmetic quotients arising from -forms of $\mathrm{SL}_2^{\ma…
Effective equidistribution of semisimple adelic periods and representations of quadratic forms
Manfred Einsiedler, Elon Lindenstrauss, Amir Mohammadi +1
We prove an effective equidistribution theorem for semisimple closed orbits on compact adelic quotients. The obtained error depends polynomially on the minimal complexity of interm…
Effective equidistribution in rank 2 homogeneous spaces and values of quadratic forms
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang +1
We establish effective equidistribution theorems, with a polynomial error rate, for orbits of unipotent subgroups in quotients of quasi-split, almost simple Linear algebraic groups…
An effective closing lemma for unipotent flows
Elon Lindenstrauss, Gregory Margulis, Amir Mohammadi +2
We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.
Spectral Independence
Alireza S Golsefidy, Keivan Mallahi-Karai, Amir Mohammadi
We prove the spectral gap property for random walks on the product of two non-locally isomorphic analytic real or p-adic compact groups with simple Lie algebras, under the necessar…
Diagonal actions in positive characteristic
M. Einsiedler, E. Lindenstrauss, A. Mohammadi
We prove positive characteristic analogues of certain measure rigidity theorems in characteristic zero. More specifically we give a classification result for positive entropy measu…
Quantitative Version of the Oppenheim Conjecture for Inhomogeneous Quadratic Forms
G. A. Margulis, A. Mohammadi
A quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms is proved. We also give an application to eigenvalue spacing on flat 2-tori with Aharonov-Bohm…