Amelia Stokolosa

activity

20232026

collaborators

5 papers

math.NT2026

Reasonable bounds for Restricted Polynomial Progressions in $F_{p}^{n}$

Alex Burgin, Anastasios Fragkos, David Kruzel +2

Given an integer $k \geq 2$ and a prime $p$ large enough depending on $k$ , we show that, if $A \subseteq F_{p}^{n}$ does not contain a restricted polynomial progression of the…

math.CA2026

Polynomial Ergodic Averages Along Short Intervals

Anastasios Fragkos, Hamed Mousavi, Amelia Stokolosa

We study pointwise convergence of polynomial ergodic averages over short intervals whose left endpoints tend to infinity. For a polynomial orbit of degree $d \geq 2$ and doubly lacun…

math.CA2024

Tame algebra estimates for product and flag kernels on graded Lie groups

Amelia Stokolosa

We prove that product kernels and flag kernels on a direct product of graded Lie groups $G_{1} \times \dots \times G_{ν}$ satisfy so-called \emph{tame algebra estimates}. Tame algebra…

math.CA2023

A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform"

Martin Hsu, Fred Yu-Hsiang Lin, Amelia Stokolosa

This article is a study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform" by Christ, Durcik, and Roos. We first present the standard te…

math.CA2023

Inverses of Product Kernels and Flag Kernels on Graded Lie Groups

Amelia Stokolosa

Let $T (f) = f * K$ , where $K$ is a product kernel or a flag kernel on a direct product of graded Lie groups $G = G_{1} \times \dots \times G_{ν}$ . Suppose $T$ is invertible on $L^{2} (G)$ …

Reasonable bounds for Restricted Polynomial Progressions in Fpn​

Polynomial Ergodic Averages Along Short Intervals

Tame algebra estimates for product and flag kernels on graded Lie groups

A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform"

Inverses of Product Kernels and Flag Kernels on Graded Lie Groups

Reasonable bounds for Restricted Polynomial Progressions in $F_{p}^{n}$