3 papers
math.DS2026
Unveiling universality, encloseness, and orthogonality in dynamics
J. Aaronson, A. I. Danilenko, J. Kułaga-Przymus +1
Motivated by Sarnak's conjecture on Möbius orthogonality, we investigate the general problem of orthogonality for a bounded sequence to topological models of characteristic classes…
math.NT2025
On some classification problems of multiplicative functions
S. Kasjan, O. Klurman, M. Lemańczyk
We prove that a multiplicative function is Toeplitz if and only if there are a Dirichlet character and a finite subset of prime numbers such tha…
math.DS2024
On orthogonality to uniquely ergodic systems
Martyna Górska, Mariusz Lemańczyk, Thierry de la Rue
We solve Boshernitzan's problem of characterization (in terms of so called Furstenberg systems) of bounded sequences that are orthogonal to all uniquely ergodic systems. Some varia…