From the 1 of 7 linked papers with an AI index.
7 papers
Advanced Virgo during the LIGO-Virgo-KAGRA fourth observing run
Virgo Collaboration, F Acernese, A Agapito +546
The paper reports on Advanced Virgo's participation in the fourth observing run (O4) of the global gravitational‑wave detector network, describing the commissioning of its new sign…
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…
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)…
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^{2Ïiλ\lfloor |n|^{c} \rfloor}}{n}\bigg|\t…
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…