Christina Giannitsi

activity

20212026

collaborators

8 papers

cs.LG2026

On the Generalization Gap of Streaming Federated Learning with Markovian Data

Masoud Kavian, Milad Sefidgaran, Youssef Attia El Hili +2

Streaming federated learning (SFL) allows clients to train a shared model from continuously arriving data without retaining large local datasets. Such streams often exhibit tempora…

math.CO2026

Sharp Thresholds for Distance Patterns in Random Subsets of $Z^{d}$

Christina Giannitsi, Eyvindur Ari Palsson

Let $d \geq 5$ , $0 < γ < d - 2$ , and $Ω_{N}$ be the binomial random subset of $Q_{N} = [- N, N]^{d} \cap Z^{d}$ with retention probability $p_{N} = N^{- γ}$ . We prove that, with failure…

math.DS2026

Ergodic Averages over Shrinking Sectors of $Z [i]$

Alex Burgin, Christina Giannitsi

We study ergodic averages over Gaussian integers in shrinking angular sectors, which impose an increasingly restrictive directional relation between the real and imaginary coordina…

math.CA2024

Averages with the Gaussian divisor: Weighted Inequalities and the Pointwise Ergodic Theorem

Christina Giannitsi, Nazar Miheisi, Hamed Mousavi

We discuss the Pointwise Ergodic Theorem for the Gaussian divisor function $d (n)$ , that is, for a measure preserving $Z [i]$ action $T$ , the limit $$\lim_{N\rightarrow \inft…

math.NT2023

Averages over the Gaussian Primes: Goldbach's Conjecture and Improving Estimates

Christina Giannitsi, Ben Krause, Michael Lacey +2

We prove versions of Goldbach conjectures for Gaussian primes in arbitrary sectors. Fix an interval $ω \subset T$ . There is an integer $N_{ω}$ , so that every odd integer $n$ …

math.CA2023

Lower Estimate on Square Function of an Indicator Set

Christina Giannitsi, Michael T. Lacey

Let $S f$ be a discrete martingale square function. Then, for any set $V$ of positive probability, we have $E S (1_{V})^{2} \geq η P (V)$ for an absolute constan…

math.CA2021

Improving and Maximal Inequalities for Primes in Progressions

Christina Giannitsi, Michael T. Lacey, Hamed Mousavi +1

Assume that $y < N$ are integers, and that $(b, y) = 1$ . Define an average along the primes in a progression of diameter $y$ , given by integer $(b, y) = 1$ . \begin{align*} A_{N,y,b…

math.CA2021

Averaging with the Divisor Function: $ℓ^{p}$ -improving and Sparse Bounds