Ľubomíra Balková

collaborators

2 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…