36 citations · 106 across the 26 of their papers we have counts for
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A special case of effective equidistribution with explicit constants
Amir Mohammadi
An effective equidistribution with explicit constants for the isometry group of rational forms with signature is proved. As an application we get an effective discreteness…
Unipotent Flows And Isotropic Quadratic Forms In Positive Characteristic
Amir Mohammadi
The analogous statement to Oppenheim conjecture over a local field of positive characteristic is proved. The dynamical argument is most involved in the case of characteristic 3.
Measures Invariant Under Horospherical Subgroups in Positive characteristic
Amir Mohammadi
We prove measure rigidity for the action of (maximal) horospherical subgroups on homogeneous spaces obtained by quotient by a uniform (nonuniform) arithmetic lattices over a field…
Permanent magnetic microtraps for ultracold atoms
Amir Mohammadi, Saeed Ghanbari, Aref Pariz
We propose and numerically study two permanent magnetic micro-structures for creating Ioffe-Pritchard microtraps. A bias magnetic field is used to vary the depth, trap frequencies…