3 papers
math.CO2025
A note on symmetries of rich sequences with minimum critical exponent
Lubomíra Dvořáková, Edita Pelantová
Using three examples of sequences over a finite alphabet, we want to draw attention to the fact that these sequences having the minimum critical exponent in a given class of sequen…
math.NT2024
Optimal Representations of Gaussian and Eisenstein Integers using digit sets closed under multiplication
Adam Blažek, Edita Pelantová, Milena Svobodová
We study two positional numeration systems which are known for allowing very efficient addition and multiplication of complex numbers. The first one uses the base a…
math.CO2024
The asymptotic repetition threshold of sequences rich in palindromes
Lubomíra Dvořáková, Karel Klouda, Edita Pelantová
The asymptotic critical exponent measures for a sequence the maximum repetition rate of factors of growing length. The infimum of asymptotic critical exponents of sequences of a ce…