Carlo Carminati

activity

20242026

collaborators

3 papers

math.DS2026

On the minimum of $I ¨ $ -Brjuno functions

Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi

$I ¨ $ -Brjuno functions were introduced in \cite{MaMoYo_06} as an interesting variant of the classical Brjuno function, where one substitutes the $lo g$ singularity at $x = 0$ with the…

math.DS2025

Global and local minima of $I^\pm$ -Brjuno functions

Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi

The main goal of this article is to analyze some peculiar features of the global (and local) minima of $I^\pm$ -Brjuno functions $B_{I^} \pm$ where $I^\pm \in (0, 1] .$ Our starting point is the re…

math.DS2024

Regularity properties of the $I^\pm$ -Wilton functions

Ayreena Bakhtawar, Carlo Carminati, Seul Bee Lee

The aim of this article is to study the regularity properties of the Wilton functions $W_{I^} \pm$ associated with $I^\pm$ -continued fractions. We prove that the Wilton function is BMO for…

On the minimum of I¨-Brjuno functions

Global and local minima of I^±-Brjuno functions

Regularity properties of the I^±-Wilton functions

On the minimum of $I ¨ $ -Brjuno functions

Global and local minima of $I^\pm$ -Brjuno functions

Regularity properties of the $I^\pm$ -Wilton functions