3 papers
math.DS2026
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 \[ Ï_{q_0,q_1}(i_1 i_2 \cdots) = \sum_{k=1}^\in…
math.DS2026
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,…
math.DS2025
A dynamical view of Tijdeman's solution of the chairman assignment problem
Valérie Berthé, Olivier Carton, Nicolas Chevallier +2
In 1980, R. Tijdeman provided an on-line algorithm that generates sequences over a finite alphabet with minimal discrepancy, that is, such that the occurrence of each letter optima…