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Diameter of homogeneous spaces: an effective account

https://doi.org/10.1007/s00208-022-02389-6

Mohammadi, A. ; Golsefidy, A. Salehi ; Thilmany, F. ( April 2023 , Mathematische Annalen)

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Isolations of geodesic planes in the frame bundle of a hyperbolic 3-manifold

https://doi.org/10.1112/S0010437X22007928

Mohammadi, Amir ; Oh, Hee ( March 2023 , Compositio Mathematica)

We present a quantitative isolation property of the lifts of properly immersed geodesic planes in the frame bundle of a geometrically finite hyperbolic $3$ -manifold. Our estimates are polynomials in the tight areas and Bowen–Margulis–Sullivan densities of geodesic planes, with degree given by the modified critical exponents.
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Polynomial effective density in quotients of $${\mathbb {H}}^3$$ and $${\mathbb {H}}^2\times {\mathbb {H}}^2$$

https://doi.org/10.1007/s00222-022-01162-5

Lindenstrauss, E. ; Mohammadi, A. ( March 2023 , Inventiones mathematicae)

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Locally Random Groups

https://doi.org/10.1307/mmj/20217213

Mallahi-Karai, Keivan ; Mohammadi, Amir ; Golsefidy, Alireza Salehi ( August 2022 , Michigan Mathematical Journal)

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Geodesic planes in the convex core of an acylindrical 3-manifold

https://doi.org/10.1215/00127094-2021-0030

McMullen, Curtis T. ; Mohammadi, Amir ; Oh, Hee ( April 2022 , Duke Mathematical Journal)

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Effective counting of simple closed geodesics on hyperbolic surfaces

https://doi.org/10.4171/jems/1144

Eskin, Alex ; Mirzakhani, Maryam ; Mohammadi, Amir ( January 2022 , Journal of the European Mathematical Society)

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On effective equidistribution for quotients of SL(d,ℝ)

https://doi.org/10.1007/s11856-020-1978-z

Aka, M. ; Einsiedler, M. ; Li, H. ; Mohammadi, A. ( February 2020 , Israel journal of mathematics)

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Diagonal actions in positive characteristic

https://doi.org/10.1215/00127094-2019-0038

Einsiedler, Manfred ; Lindenstrauss, Elon ; Mohammadi, Amir ( January 2020 , Duke Mathematical Journal)

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Effective equidistribution and property $(\tau )$

https://doi.org/10.1090/jams/930

Einsiedler, M. ; Margulis, G. ; Mohammadi, A. ; Venkatesh, A. ( January 2020 , Journal of the American Mathematical Society)

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