2 papers
math.CA2025
On the Picard-Lindelöf Argument and the Banach-Caccioppoli Contraction Mapping Principle
Alexander I. Bufetov, Ilya I. Zavolokin
The aim of this note is to present the simple observation that a slight refinement of the Contraction Mapping Principle allows one to recover the precise convergence rate in the Pi…
math.DS2024
Local spectral estimates and quantitative weak mixing for substitution -actions
Alexander I. Bufetov, Juan Marshall-Maldonado, Boris Solomyak
The paper investigates Hölder and log-Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed tha…