E. Pelantov'a

activity

19992021

most citedSturm numbers and substitution invariance of 3iet words

10 citations · 28 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.NT2021

On positional representation of integer vectors

Edita Pelantová, Tomáš Vávra

We show that any $m \times m$ matrix $M$ with integer entries and $det M = Δ \neq = 0$ can be equipped by a finite digit set $D \subset Z^{m}$ such that any integer $m$ -…

math.NT2020

Lattice Bounded Distance Equivalence for 1D Delone Sets with Finite Local Complexity

Petr Ambrož, Zuzana Masáková, Edita Pelantová

Spectra of suitably chosen Pisot-Vijayaraghavan numbers represent non-trivial examples of self-similar Delone point sets of finite local complexity, indispensable in quasicrystal m…

math.NT2014

Description of spectra of quadratic Pisot units

Zuzana Masáková, Kateřina Pastirčáková, Edita Pelantová

The spectrum of a real number $β > 1$ is the set $X^{m} (β)$ of $p (β)$ where $p$ ranges over all polynomials with coefficients restricted to $A = {0, 1, \dots, m}$ . For a quad…