Generalized radix representations and dynamical systems. I
GENERALIZED RADIX REPRESENTATIONS AND DYNAMICAL SYSTEMS. I Page 1 Acta
Math. Hungar. 108 (3) (2005), 207–238. GENERALIZED RADIX REPRESENTATIONS AND …
Math. Hungar. 108 (3) (2005), 207–238. GENERALIZED RADIX REPRESENTATIONS AND …
[PDF][PDF] Shift Radix Systems: A Survey (Numeration and Substitution 2012)
P Kirschenhofer… - 数理解析研究所講究 …, 2014 - repository.kulib.kyoto-u.ac.jp
Let d≥ 1 be an integer and r=(r0,..., rd− 1)∈ Rd. The shift radix system τr: Zd→ Zd is defined
by τr (z)=(z1,..., zd− 1,−⌊ rz⌋) t (z=(z0,..., zd− 1) t). τr has the finiteness property if each z∈ …
by τr (z)=(z1,..., zd− 1,−⌊ rz⌋) t (z=(z0,..., zd− 1) t). τr has the finiteness property if each z∈ …
[HTML][HTML] Dynamical directions in numeration
G Barat, V Berthé, P Liardet… - Annales de l'institut …, 2006 - numdam.org
Le but de ce survol est d'aborder définitions et propriétés concernant la numération d'un
point de vue dynamique: nous nous concentrons sur les systèmes de numération, leur …
point de vue dynamique: nous nous concentrons sur les systèmes de numération, leur …
A survey on topological properties of tiles related to number systems
S Akiyama, JM Thuswaldner - Geometriae Dedicata, 2004 - Springer
In the present paper we give an overview of topological properties of self-affine tiles. After
reviewing some basic results on self-affine tiles and their boundary we give criteria for their …
reviewing some basic results on self-affine tiles and their boundary we give criteria for their …
[PDF][PDF] New criteria for canonical number systems
S Akiyama, H Rao - ACTA ARITHMETICA-WARSZAWA-, 2004 - math.tsukuba.ac.jp
Let P (x)= xd+ pd− 1xd− 1+···+ p0 be an expanding monic polynomial with integer
coefficients. If each element of Z [x]/P (x) Z [x] has a polynomial representative with …
coefficients. If each element of Z [x]/P (x) Z [x] has a polynomial representative with …
[PDF][PDF] Symmetric shift radix systems and finite expansions
S Akiyama, K Scheicher - Math. Pannon, 2007 - mathematica-pannonica.ttk.pte.hu
Shift radix systems provide a unified notation to study several important types of number
systems. However, the classification of such systems is already hard in two dimensions. In …
systems. However, the classification of such systems is already hard in two dimensions. In …
A certain finiteness property of Pisot number systems
S Akiyama, H Rao, W Steiner - Journal of Number Theory, 2004 - Elsevier
In the study of substitutative dynamical systems and Pisot number systems, an algebraic
condition, which we call 'weak finiteness', plays a fundamental role. It is expected that all …
condition, which we call 'weak finiteness', plays a fundamental role. It is expected that all …
Characterization of quadratic -CNS polynomials (extended version)
B Jadrijević, K Miletić - arXiv preprint arXiv:2402.16588, 2024 - arxiv.org
In this paper, we give characterization of quadratic $\varepsilon-$ canonical number system
($\varepsilon-$ CNS) polynomials for all values $\varepsilon\in\lbrack0, 1) $. Our …
($\varepsilon-$ CNS) polynomials for all values $\varepsilon\in\lbrack0, 1) $. Our …
Characterization of quadratic ε− CNS polynomials
B Jadrijević, K Miletić - Journal of number theory, 2024 - Elsevier
In this paper, we give characterization of quadratic ε-canonical number system (ε− CNS)
polynomials for all values ε∈[0, 1). Our characterization provides a unified view of the well …
polynomials for all values ε∈[0, 1). Our characterization provides a unified view of the well …