1 citations · 1 across the 2 of their papers we have counts for
6 papers
Classes of ODE solutions: smoothness, covering numbers, implications for noisy function fitting, and the curse of smoothness phenomenon
Ying Zhu, Mozhgan Mirzaei
Many numerical methods for recovering ODE solutions from data rely on approximating the solutions using basis functions or kernel functions under a least square criterion. The accu…
Constructions of point-line arrangements in the plane with large girth
Mozhgan Mirzaei, Andrew Suk, Jacques Verstraëte
A classical result by Erdős, and later on by Bondy and Simonivits, states that every -vertex graph with no cycle of length has at most edges. This bound is…
On grids in point-line arrangements in the plane
Mozhgan Mirzaei, Andrew Suk
The famous Szemerédi-Trotter theorem states that any arrangement of points and lines in the plane determines incidences, and this bound is tight. In this paper…
A note on conditional expanders over prime fields
Mozhgan Mirzaei
Let be a prime field of order and be a set in with In this note, we show that \[\max\{|A+A|, |f(A, A)|\}\gtrsim |A|^{\fra…
Exponential sum estimates over prime fields
Doowon Koh, Mozhgan Mirzaei, Thang Pham +1
In this paper, we prove some extensions of recent results given by Shkredov and Shparlinski on multiple character sums for some general families of polynomials over prime fields. T…
A positive fraction mutually avoiding sets theorem
Mozhgan Mirzaei, Andrew Suk
Two sets and of points in the plane are \emph{mutually avoiding} if no line generated by any two points in intersects the convex hull of , and vice versa. In 1994, A…