Ayreena Bakhtawar

activity

20182026

most citedHausdorff dimension of a set in the theory of continued fractions

21 citations · 37 across the 12 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.DS2024

Regularity properties of the $α$ -Wilton functions

Ayreena Bakhtawar, Carlo Carminati, Seul Bee Lee

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

math.DS2024

Global and local minima of $α$ -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 $α$ -Brjuno functions $B_{α}$ where $α \in (0, 1] .$ Our starting point is the resul…

Regularity properties of the α-Wilton functions

Global and local minima of α-Brjuno functions

Regularity properties of the $α$ -Wilton functions

Global and local minima of $α$ -Brjuno functions