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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.GR2024
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…