Tomáš Hejda

activity

20112017

most citedAdditive structure of totally positive quadratic integers

8 citations · 10 across the 2 of their papers we have counts for

collaborators

6 papers

math.NT2017★ 8 cited

Additive structure of totally positive quadratic integers

Tomáš Hejda, Vítězslav Kala

Let $K = Q (D)$ be a real quadratic field. We consider the additive semigroup $O_{K}^{+} (+)$ of totally positive integers in $K$ and determine its generators (indec…

math.DS2014★ 2 cited

Beta-expansions of rational numbers in quadratic Pisot bases

Tomáš Hejda, Wolfgang Steiner

We study rational numbers with purely periodic Rényi $β$ -expansions. For bases $β$ satisfying $β^{2} = a β + b$ with $b$ dividing $a$ , we give a necessary and sufficient condition for $γ(…

math.MG2013

Spectral properties of cubic complex Pisot units

Tomáš Hejda, Edita Pelantová

For a real number $β > 1$ , Erdős, Joó and Komornik study distances between consecutive points in the set $X^m(β)=\bigl\{\sum_{j=0}^n a_j β^j : n\in\mathbb N,\,a_j\in\{0,1,\dots,m\}\b…

cs.FL2013

Balancedness of Arnoux-Rauzy and Brun words

Vincent Delecroix, Tomáš Hejda, Wolfgang Steiner

We study balancedness properties of words given by the Arnoux-Rauzy and Brun multi-dimensional continued fraction algorithms. We show that almost all Brun words on 3 letters and Ar…

math.CO2011

Morphisms preserving the set of words coding three interval exchange

Tomáš Hejda

Any amicable pair ϕ, ψ of Sturmian morphisms enables a construction of a ternary morphism η which preserves the set of infinite words coding 3-interval exchange. We determine the n…

math.DS2011

Greedy and lazy representations in negative base systems

Tomáš Hejda, Zuzana Masáková, Edita Pelantová

We consider positional numeration systems with negative real base $- β$ , where $β > 1$ , and study the extremal representations in these systems, called here the greedy and lazy repres…