Mark Lewko

activity

20112017

collaborators

3 papers

math.CA2017

Finite field restriction estimates for the paraboloid in high even dimensions

Alex Iosevich, Doowon Koh, Mark Lewko

We prove that the finite field Fourier extension operator for the paraboloid is bounded from $L^{2} \to L^{r}$ for $r \geq \frac{2 d + 4}{d}$ in even dimensions $d \geq 8$ , which is the optim…

math.CA2012

The Square Variation of Rearranged Fourier Series

Allison Lewko, Mark Lewko

We prove that there exists a rearrangement of the first $N$ elements of the trigonometric system such that the $L^{2}$ -norm of the square variation operator is at most $O_ε(\log^{9/2…

math.PR2011

An Exact Asymptotic for the Square Variation of Partial Sum Processes

Allison Lewko, Mark Lewko

We establish an exact asymptotic formula for the square variation of certain partial sum processes. Let ${X_{i}}$ be a sequence of independent, identically distributed mean zero…