12 papers
Reasonable bounds for Restricted Polynomial Progressions in
Alex Burgin, Anastasios Fragkos, David Kruzel +2
Given an integer and a prime large enough depending on , we show that, if does not contain a restricted polynomial progression of the…
Endpoint Estimates for Stein's Purely Quadratic Carleson Operator
Anastasios Fragkos, Ben Krause, Michael Lacey
We study the near behavior of the maximally quadratically modulated Hilbert transform \[ \mathcal{C}_2f(x) := \sup_λ \left|\operatorname{p.v.} \int_{\mathbb{R}}f(x-y)e^{2 πi…
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 and doubly lacun…
Advanced Virgo during the LIGO-Virgo-KAGRA fourth observing run
Virgo Collaboration, F Acernese, A Agapito +546
From April 10, 2024 to November 18, 2025 Advanced Virgo participated in the fourth observing run of the network of gravitational-wave detectors, together with Advanced LIGO and KAG…
A Variation Norm Carleson Theorem Along the Primes
Anastasios Fragkos, Ben Krause, Nazar Miheisi +1
Let denote the von Mangoldt function; we prove that for each , there exist constants \[ r' < \mathbf{c}(r) < 2 < \mathbf{C}(r), \qquad \lim_{r \to \infty} \mathbf{c}(r)…
Szemerédi's Theorem Along Cantor Sets of Integers
Alex Burgin, Anastasios Fragkos, Michael T. Lacey +2
Let be Cantor set of integers, that is a set of integers with restricted digits modulo a base , and suppose is one of the restricted digit…
Integer Cantor Sets: Arithmetic Combinatorial Properties
Alex Burgin, Anastasios Fragkos, Michael T. Lacey +2
Cantor sets of integers have a rich set of arithmetic combinatorial properties. We consider classical Cantor sets, with a base and a fixed set of allowed digits. For such sets, we…
A case for Case A: detailed look at binary black hole formation through stable mass transfer
Max M. Briel, Tassos Fragos, Monica Gallegos-Garcia +8
In isolated binary evolution, binary black hole (BBH) mergers are generally formed through stable mass transfer (SMT) or common envelope evolution. In recent years, the SMT channel…
The Wiener Wintner Theorem Along the Primes
Jan Fornal, Anastasios Fragkos, Ben Krause +3
We prove the following Wiener-Wintner Theorem along the sequence of prime times, the first extension of the Wiener-Wintner Theorem to arithmetic sequences: for every probability sp…
Fractionally modulated discrete Carleson's Theorem and pointwise Ergodic Theorems along certain curves
Leonidas Daskalakis, Anastasios Fragkos
For we consider the following operators \[ \mathcal{C}_{c}f(x) = \sup_{λ\in [-1/2,1/2)}\bigg| \sum_{n \neq 0}f(x-n) \frac{e^{2πiλ\lfloor |n|^{c} \rfloor}}{n}\bigg|\text…
Multilinear Wavelet Compact T(1) Theorem
Anastasios Fragkos, A. Walton Green, Brett D. Wick
We prove a wavelet theorem for compactness of multilinear Calderón-Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields a…
The weak-type Carleson theorem via wave packet estimates
Francesco Di Plinio, Anastasios Fragkos
We prove that the weak- norms, and in fact the sparse -norms, of the Carleson maximal partial Fourier sum operator are as . This is an…