Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Paul Surer"'
Autor:
LIGIA L. CRISTEA, PAUL SURER
Publikováno v:
Fractals. 30
We introduce and study mixed triangular labyrinthic fractals, which can be seen as an extension of (generalized) Sierpiński gaskets. This is a new class of fractal dendrites that generalize the self-similar triangular labyrinth fractals studied rece
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b88a30d146ba5326e00a15a338534265
https://doi.org/10.1142/s0218348x22501353
https://doi.org/10.1142/s0218348x22501353
Publikováno v:
Monatshefte für Mathematik. 194:857-871
The properties of the intersection of Rauzy fractals associated with substitutions having the same incidence matrix have been studied by several authors. Different techniques have been introduced and used for this purpose, one of them is the balanced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eae5c50a4fdabbd125e7549ae66ef554
https://doi.org/10.1007/s00605-021-01515-x
https://doi.org/10.1007/s00605-021-01515-x
Autor:
Paul Surer
Publikováno v:
International Journal of Number Theory. 16:1709-1751
In this paper, we associate a primitive substitution with a family of non-integer positional number systems with respect to the same base but with different sets of digits. In this way, we generalize the classical Dumont–Thomas numeration which cor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e46732dcb03429cfe7b78826047ac838
https://doi.org/10.1142/s1793042120500906
https://doi.org/10.1142/s1793042120500906
Autor:
Paul Surer, Ligia L. Cristea
We define and study a class of fractal dendrites called triangular labyrinth fractals. For the construction, we use triangular labyrinth patterns systems that consist of two triangular patterns: a white and a yellow one. Correspondingly, we have two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29e066a92aeaef495f4f3281c6390da1
Autor:
Paul Surer
Publikováno v:
Journal of Number Theory. 190:367-393
Coding prescriptions are combinatorial objects linked to a substitution, that is a morphism of the free monoid. Originally they have been introduced in order to code the induced symbolic dynamical system. In the present article we are interested in c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9e2ba3448177043088f0a7cea8f4b7a
https://doi.org/10.1016/j.jnt.2018.03.003
https://doi.org/10.1016/j.jnt.2018.03.003
Publikováno v:
Indagationes Mathematicae. 27:799-820
Two Rauzy fractals are congruent if they differ by an affine transformation only. We give conditions on unimodular Pisot substitutions in order to ensure the congruence of the Rauzy fractals. We use these results to characterise a large family of sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d18316ff5de2af0595444b54677fbf6
https://doi.org/10.1016/j.indag.2016.01.011
https://doi.org/10.1016/j.indag.2016.01.011
Publikováno v:
Journal of the London Mathematical Society. 93:319-340
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac697e9f357d2baa107e9a83fe250a80
https://doi.org/10.1112/jlms/jdv071
https://doi.org/10.1112/jlms/jdv071
Publikováno v:
Number Theory – Diophantine Problems, Uniform Distribution and Applications ISBN: 9783319553566
In the present paper we are interested in number systems in the ring of integers of cyclotomic number fields in order to obtain a result equivalent to Cobham’s theorem. For this reason we first search for potential bases. This is done in a very gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::885bb69f22a976b17295c165c3d2994b
https://doi.org/10.1007/978-3-319-55357-3_16
https://doi.org/10.1007/978-3-319-55357-3_16
Autor:
Paul Surer
Publikováno v:
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Made available in DSpace on 2018-12-11T17:02:52Z (GMT). No. of bitstreams: 0 Previous issue date: 2016-05-01 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) We develop a theory that allows us to code dynamical systems induced by pri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86ad2f1308d55cde87c4252a6166017d
https://doi.org/10.1017/etds.2014.80
https://doi.org/10.1017/etds.2014.80
Publikováno v:
International Journal of Number Theory. 10:1459-1483
Let $\E$ be a commutative ring with identity and $P\in\E[x]$ be a polynomial. In the present paper we consider digit representations in the residue class ring $\E[x]/(P)$. In particular, we are interested in the question whether each $A\in\E[x]/(P)$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea93e3f54a3566c956a9a86ddb81ede3
https://doi.org/10.1142/s1793042114500389
https://doi.org/10.1142/s1793042114500389