3 papers
math.CO2023
Critical exponent of binary words with few distinct palindromes
L'ubomíra Dvořáková, Pascal Ochem, Daniela Opočenská
We study infinite binary words that contain few distinct palindromes. In particular, we classify such words according to their critical exponents. This extends results by Fici and…
math.CO2022
Asymptotic repetitive threshold of balanced sequences
Lubomíra Dvořáková, Daniela Opočenská, Edita Pelantová
The critical exponent of an infinite sequence over a finite alphabet expresses the maximal repetition of a factor in . By the famous Dejean's…
math.CO2021
On minimal critical exponent of balanced sequences
Lubomíra Dvořáková, Daniela Opočenská, Edita Pelantová +1
We study the threshold between avoidable and unavoidable repetitions in infinite balanced sequences over finite alphabets. The conjecture stated by Rampersad, Shallit and Vandomme…