Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Edita Pelantová"'
Publikováno v:
Acta Polytechnica, Vol 63, Iss 3 (2023)
To represent real m-dimensional vectors, a positional vector system given by a non-singular matrix M ∈ ℤm×m and a digit set Ɗ ⊂ ℤm is used. If m = 1, the system coincides with the well known numeration system used to represent real numbers.
Externí odkaz:
https://doaj.org/article/b7fcb18f8b3247338521ba6e076b5554
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol vol. 22 no. 1, Iss Combinatorics (2020)
We determine the critical exponent and the recurrence function of complementary symmetric Rote sequences. The formulae are expressed in terms of the continued fraction expansions associated with the S-adic representations of the corresponding standar
Externí odkaz:
https://doaj.org/article/3cd5450cab034f3ea3ddc0bac3db8e10
Publikováno v:
Acta Polytechnica, Vol 56, Iss 6, Pp 462-471 (2016)
We focus on a generalization of the three gap theorem well known in the framework of exchange of two intervals. For the case of three intervals, our main result provides an analogue of this result implying that there are at most 5 gaps. To derive thi
Externí odkaz:
https://doaj.org/article/d0464954876241ec9f1f5e8c163d331f
Autor:
Edita Pelantová, Štěpán Starosta
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 18 no. 3, Iss Combinatorics (2016)
A narrow connection between infinite binary words rich in classical palindromes and infinite binary words rich simultaneously in palindromes and pseudopalindromes (the so-called $H$-rich words) is demonstrated. The correspondence between rich and $H
Externí odkaz:
https://doaj.org/article/03f57e5377044b0485e2bbcdc761d964
Autor:
Zuzana Masáková, Edita Pelantová
Publikováno v:
Acta Polytechnica, Vol 53, Iss 5 (2013)
We focus on the exchange T of two intervals with an irrational slope α. For a general subinterval I of the domain of T, the first return time to I takes three values. We describe the structure of the set of return itineraries to I. In particular, we
Externí odkaz:
https://doaj.org/article/cd084816a2e14e27be19aebd5d8a2b4b
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 13 no. 3, Iss Graph Theory (2011)
Graph Theory
Externí odkaz:
https://doaj.org/article/9634ebf58ce44de798de67dae2e732da
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
We study properties of β-numeration systems, where β > 1 is the real root of the polynomial x 3 - mx 2 - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of numbers whose greedy expansion in b
Externí odkaz:
https://doaj.org/article/e4f6b2a8145f41b8be4bf47a396a7c84
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
A Parry number is a real number β >1 such that the Rényi β-expansion of 1 is finite or infinite eventually periodic. If this expansion is finite, β is said to be a simple Parry number. Remind that any Pisot number is a Parry number. In a previous
Externí odkaz:
https://doaj.org/article/c1f8c2aae205406e832c8410aa04e41b
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
We study the properties of the function R (m) (n) defined as the number of representations of an integer n as a sum of distinct m-Bonacci numbers F (m) k, given by F i (m) =2 i-1, for i∈ { 1, 2, …, m}, F k+m (m) =F k+m-1 (m) +F k+m-2 (m) + ⋯ +
Externí odkaz:
https://doaj.org/article/22dd75c437bc4efe9c443c4385886d90
Publikováno v:
Journal of Number Theory. 249:470-499
The first aim of this article is to give information about the algebraic properties of alternate bases $\boldsymbol{\beta}=(\beta_0,\dots,\beta_{p-1})$ determining sofic systems. We show that a necessary condition is that the product $\delta=\prod_{i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a94015edf4f93c514706a845d671b54
https://doi.org/10.1016/j.jnt.2023.02.012
https://doi.org/10.1016/j.jnt.2023.02.012