3 papers
math.CO2021
A Numeration System for Fibonacci-like Wang Shifts
Sébastien Labbé, Jana Lepšová
Motivated by the study of Fibonacci-like Wang shifts, we define a numeration system for and based on the binary alphabet . We introduce a set o…
math.DS2019
Markov partitions for toral -rotations featuring Jeandel-Rao Wang shift and model sets
Sébastien Labbé
We define a partition and a -rotation (-action defined by rotations) on a 2-dimensional torus whose associated symbolic dynamical system…
math.MG2011
Complexity of the Fibonacci snowflake
Alexandre Blondin Massé, Srečko Brlek, Sébastien Labbé +1
The object under study is a particular closed curve on the square lattice related with the Fibonacci sequence . It belongs to a class of curves whose length is $4F_{3n+…