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math.DS2024
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.
math.DS2010★ 22 cited
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…