L'ubomíra Balková

most citedAsymptotic behavior of beta-integers

11 citations · 12 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2008★ 11 cited

Asymptotic behavior of beta-integers

L. Balková, J. P. Gazeau, E. Pelantová

Beta-integers (`` $β$ -integers'') are those numbers which are the counterparts of integers when real numbers are expressed in irrational basis $β > 1$ . In quasicrystalline studies $β…

cs.DM2006

Combinatorial and Arithmetical Properties of Infinite Words Associated with Non-simple Quadratic Parry Numbers

Lubomíra Balková, Edita Pelantová, Ondřej Turek

We study arithmetical and combinatorial properties of $β$ -integers for $β$ being the root of the equation $x^{2} = m x - n, m, n \in N, m \geq n + 2 \geq 3$ . We determine with the acc…

math.CO2006★ 1 cited

Sequences with constant number of return words

Lubomira Balkova, Edita Pelantova, Wolfgang Steiner

An infinite word has the property $R_{m}$ if every factor has exactly $m$ return words. Vuillon showed that $R_{2}$ characterizes Sturmian words. We prove that a word satisfies $R_{m}$ i…