Standard

Recurrence in Multidimensional Words. / Charlier, Émilie; Puzynina, Svetlana; Vandomme, Élise.

Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings. ed. / Dana Shapira; Alexander Okhotin; Carlos Martín-Vide. Springer Nature, 2019. p. 397-408 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11417 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Charlier, É, Puzynina, S & Vandomme, É 2019, Recurrence in Multidimensional Words. in D Shapira, A Okhotin & C Martín-Vide (eds), Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11417 LNCS, Springer Nature, pp. 397-408, 13th International Conference on Language and Automata Theory and Applications, LATA 2019, St. Petersburg, Russian Federation, 26/03/19. https://doi.org/10.1007/978-3-030-13435-8_29

APA

Charlier, É., Puzynina, S., & Vandomme, É. (2019). Recurrence in Multidimensional Words. In D. Shapira, A. Okhotin, & C. Martín-Vide (Eds.), Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings (pp. 397-408). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11417 LNCS). Springer Nature. https://doi.org/10.1007/978-3-030-13435-8_29

Vancouver

Charlier É, Puzynina S, Vandomme É. Recurrence in Multidimensional Words. In Shapira D, Okhotin A, Martín-Vide C, editors, Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings. Springer Nature. 2019. p. 397-408. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-13435-8_29

Author

Charlier, Émilie ; Puzynina, Svetlana ; Vandomme, Élise. / Recurrence in Multidimensional Words. Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings. editor / Dana Shapira ; Alexander Okhotin ; Carlos Martín-Vide. Springer Nature, 2019. pp. 397-408 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{0f539b4176e54de9a251bf36493fb8aa,
title = "Recurrence in Multidimensional Words",
abstract = "In this paper we study various modifications of the notion of uniform recurrence in multidimensional infinite words. A d-dimensional infinite word is said to be uniformly recurrent if for each (Formula Presented) there exists (Formula Presented) such that each block of size (Formula Presented) contains the prefix of size (Formula Presented). We introduce and study a new notion of uniform recurrence of multidimensional infinite words: for each rational slope (Formula Presented), each rectangular prefix must occur along this slope, that is in positions (Formula Presented), with bounded gaps. Such words are called uniformly recurrent along all directions. We provide several constructions of multidimensional infinite words satisfying this condition, and more generally, a series of three conditions on recurrence. We study general properties of these new notions and in particular we study the strong uniform recurrence of fixed points of square morphisms.",
keywords = "Multidimensional morphisms, Multidimensional words, Uniform recurrence",
author = "{\'E}milie Charlier and Svetlana Puzynina and {\'E}lise Vandomme",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-13435-8_29",
language = "English",
isbn = "9783030134341",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature",
pages = "397--408",
editor = "Dana Shapira and Alexander Okhotin and Carlos Mart{\'i}n-Vide",
booktitle = "Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings",
address = "Germany",
note = "13th International Conference on Language and Automata Theory and Applications, LATA 2019 ; Conference date: 26-03-2019 Through 29-03-2019",

}

RIS

TY - GEN

T1 - Recurrence in Multidimensional Words

AU - Charlier, Émilie

AU - Puzynina, Svetlana

AU - Vandomme, Élise

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper we study various modifications of the notion of uniform recurrence in multidimensional infinite words. A d-dimensional infinite word is said to be uniformly recurrent if for each (Formula Presented) there exists (Formula Presented) such that each block of size (Formula Presented) contains the prefix of size (Formula Presented). We introduce and study a new notion of uniform recurrence of multidimensional infinite words: for each rational slope (Formula Presented), each rectangular prefix must occur along this slope, that is in positions (Formula Presented), with bounded gaps. Such words are called uniformly recurrent along all directions. We provide several constructions of multidimensional infinite words satisfying this condition, and more generally, a series of three conditions on recurrence. We study general properties of these new notions and in particular we study the strong uniform recurrence of fixed points of square morphisms.

AB - In this paper we study various modifications of the notion of uniform recurrence in multidimensional infinite words. A d-dimensional infinite word is said to be uniformly recurrent if for each (Formula Presented) there exists (Formula Presented) such that each block of size (Formula Presented) contains the prefix of size (Formula Presented). We introduce and study a new notion of uniform recurrence of multidimensional infinite words: for each rational slope (Formula Presented), each rectangular prefix must occur along this slope, that is in positions (Formula Presented), with bounded gaps. Such words are called uniformly recurrent along all directions. We provide several constructions of multidimensional infinite words satisfying this condition, and more generally, a series of three conditions on recurrence. We study general properties of these new notions and in particular we study the strong uniform recurrence of fixed points of square morphisms.

KW - Multidimensional morphisms

KW - Multidimensional words

KW - Uniform recurrence

UR - http://www.scopus.com/inward/record.url?scp=85064036877&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/recurrence-multidimensional-words

U2 - 10.1007/978-3-030-13435-8_29

DO - 10.1007/978-3-030-13435-8_29

M3 - Conference contribution

AN - SCOPUS:85064036877

SN - 9783030134341

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 397

EP - 408

BT - Language and Automata Theory and Applications - 13th International Conference, LATA 2019, Proceedings

A2 - Shapira, Dana

A2 - Okhotin, Alexander

A2 - Martín-Vide, Carlos

PB - Springer Nature

T2 - 13th International Conference on Language and Automata Theory and Applications, LATA 2019

Y2 - 26 March 2019 through 29 March 2019

ER -

ID: 41185832