43 citations · 45 across the 4 of their papers we have counts for
Showing 2025Show all
2 papers · 1 filter
math.DS2025
Hausdorff dimension of double base expansions and binary shifts with a hole
Jian Lu, Wolfgang Steiner, Yuru Zou
For two real bases , a binary sequence is the -expansion of the number \[ π_{q_0,q_1}(i_1 i_2 \cdots) = \sum_{k=1}^\inf…
math.DS2025
Nonstationary Markov Partitions and Multidimensional Continued Fraction Algorithms
Pierre Arnoux, Valérie Berthé, Milton Minervino +2
It is well known from results of Sina\uı and Bowen that a hyperbolic toral automorphism admits a Markov partition. Our aim is to generalize this concept to the nonstationary case,…