5 citations · 7 across the 13 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2023
Restricted slowly growing digits for infinite iterated function systems
Gerardo González Robert, Mumtaz Hussain, Nikita Shulga +1
For an infinite iterated function system on with an attractor and for an infinite subset , consider the set \[ \mathbb E…
math.DS2023
Metrical properties of exponentially growing partial quotients
Mumtaz Hussain, Nikita Shulga
A fundamental challenge within the metric theory of continued fractions involves quantifying sets of real numbers, when represented using continued fractions, exhibit partial quoti…
math.DS2023
Metrical properties of finite product of partial quotients in arithmetic progressions
Mumtaz Hussain, Nikita Shulga
We investigate the dynamics of continued fractions and explore the ergodic behaviour of the products of mixed partial quotients in continued fractions of real numbers. For any func…