36 citations · 106 across the 26 of their papers we have counts for
5 papers · 1 filter
S-Arithmetic Khintchine-Type Theorem
Amir Mohammadi, Alireza Salehi Golsefidy
In this article we prove a convergence S-arithmetic Khintchine-type theorem for product of non-degenerate v-adic manifolds, where one of them is the Archimedian place.
Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
Amir Mohammadi, Alireza Salehi Golsefidy
S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the p-adic case the divergence part is also obt…
On presentations of integer polynomial points of simple groups over number fields
Amir Mohammadi, Kevin Wortman
Let K be a number field and let A be its ring of integers. Let G be a connected, noncommutative, absolutely almost simple algebraic K-group. If the K-rank of G equals 2, then G(A[t…
Logarithm laws for one parameter unipotent flows
Dubi Kelmer, Amir Mohammadi
We prove logarithm laws and shrinking target properties for unipotent flows on the homogenous space $Γ\bs G$ with $G=\SL_2(\bbR)^{r_1}\times\SL_2(\bbC)^{r_2}$ and an…
A Sawtooth Permanent Magnetic Lattice for Ultracold Atoms and BECs
Amir Mohammadi, Saeed Ghanbari
We propose a new permanent magnetic lattice for creating periodic arrays of Ioffe-Pritchard permanent magnetic microtraps for holding and controlling ultracold atoms and Bose-Einst…