InforLorV4, Main, Exploration, bibRecord, 001830

Geometric Palindromic Closure

Identifieur interne : 001830 ( Main/Exploration ); précédent : 001829; suivant : 001831

Geometric Palindromic Closure

Auteurs : Eric Domenjoud [France] ; Laurent Vuillon [France]

Source :

Uniform Distribution Theory [ 2309-5377 ] ; 2012-12.

RBID : Hal:hal-00753935

Abstract

We define, through a set of symmetries, an incremental construction of geometric objects in Z^d. This construction is directed by a word over the alphabet {1,...,d}. These objects are composed of d disjoint components linked by the origin and enjoy the nice property that each component has a central symmetry as well as the global object. This construction may be seen as a geometric palindromic closure. Among other objects, we get a 3 dimensional version of the Rauzy fractal. For the dimension 2, we show that our construction codes the standard discrete lines and is equivalent to the well known palindromic closure in combinatorics on words.

Url:

https://hal.archives-ouvertes.fr/hal-00753935

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 006C73
to stream Hal, to step Curation: 006C73
to stream Hal, to step Checkpoint: 001443
to stream Main, to step Merge: 001863
to stream Main, to step Curation: 001830

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="ro">Geometric Palindromic Closure</title>
<author><name sortKey="Domenjoud, Eric" sort="Domenjoud, Eric" uniqKey="Domenjoud E" first="Eric" last="Domenjoud">Eric Domenjoud</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-206036" status="VALID"><orgName>Applying Discrete Algorithms to Genomics and Imagery</orgName>
<orgName type="acronym">ADAGIO</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche/equipes/adagio</ref>
</desc>
<listRelation><relation active="#struct-423083" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName>
<orgName type="acronym">LORIA - ALGO</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Vuillon, Laurent" sort="Vuillon, Laurent" uniqKey="Vuillon L" first="Laurent" last="Vuillon">Laurent Vuillon</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-79" status="VALID"><orgName>Laboratoire de Mathématiques</orgName>
<orgName type="acronym">LAMA</orgName>
<desc><address><addrLine>Université de Savoie, UFR SFA Domaine Universitaire, Bâtiment Le Chablais 73376 LE BOURGET DU LAC</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lama.univ-savoie.fr/</ref>
</desc>
<listRelation><relation name="UMR5127" active="#struct-441569" type="direct"></relation>
<relation active="#struct-432896" type="direct"></relation>
</listRelation>
<tutelles><tutelle name="UMR5127" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-432896" type="direct"><org type="institution" xml:id="struct-432896" status="VALID"><orgName>Université Savoie Mont Blanc</orgName>
<orgName type="acronym">USMB [Université de Savoie] [Université de Chambéry]</orgName>
<date type="start">1979-10-01</date>
<desc><address><addrLine>27, rue Marcoz - 73000 Chambéry</addrLine>
<country key="FR"></country>
</address>
<ref type="url">https://www.univ-smb.fr</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00753935</idno>
<idno type="halId">hal-00753935</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-00753935</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-00753935</idno>
<date when="2012-12">2012-12</date>
<idno type="wicri:Area/Hal/Corpus">006C73</idno>
<idno type="wicri:Area/Hal/Curation">006C73</idno>
<idno type="wicri:Area/Hal/Checkpoint">001443</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">001443</idno>
<idno type="wicri:doubleKey">2309-5377:2012:Domenjoud E:geometric:palindromic:closure</idno>
<idno type="wicri:Area/Main/Merge">001863</idno>
<idno type="wicri:Area/Main/Curation">001830</idno>
<idno type="wicri:Area/Main/Exploration">001830</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="ro">Geometric Palindromic Closure</title>
<author><name sortKey="Domenjoud, Eric" sort="Domenjoud, Eric" uniqKey="Domenjoud E" first="Eric" last="Domenjoud">Eric Domenjoud</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-206036" status="VALID"><orgName>Applying Discrete Algorithms to Genomics and Imagery</orgName>
<orgName type="acronym">ADAGIO</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche/equipes/adagio</ref>
</desc>
<listRelation><relation active="#struct-423083" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName>
<orgName type="acronym">LORIA - ALGO</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Vuillon, Laurent" sort="Vuillon, Laurent" uniqKey="Vuillon L" first="Laurent" last="Vuillon">Laurent Vuillon</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-79" status="VALID"><orgName>Laboratoire de Mathématiques</orgName>
<orgName type="acronym">LAMA</orgName>
<desc><address><addrLine>Université de Savoie, UFR SFA Domaine Universitaire, Bâtiment Le Chablais 73376 LE BOURGET DU LAC</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lama.univ-savoie.fr/</ref>
</desc>
<listRelation><relation name="UMR5127" active="#struct-441569" type="direct"></relation>
<relation active="#struct-432896" type="direct"></relation>
</listRelation>
<tutelles><tutelle name="UMR5127" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-432896" type="direct"><org type="institution" xml:id="struct-432896" status="VALID"><orgName>Université Savoie Mont Blanc</orgName>
<orgName type="acronym">USMB [Université de Savoie] [Université de Chambéry]</orgName>
<date type="start">1979-10-01</date>
<desc><address><addrLine>27, rue Marcoz - 73000 Chambéry</addrLine>
<country key="FR"></country>
</address>
<ref type="url">https://www.univ-smb.fr</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
<series><title level="j">Uniform Distribution Theory</title>
<idno type="ISSN">2309-5377</idno>
<imprint><date type="datePub">2012-12</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="mix" xml:lang="es"><term>Rauzy fractal</term>
<term>Sturmian sequences</term>
<term>discrete plane</term>
<term>palindromic closure</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">We define, through a set of symmetries, an incremental construction of geometric objects in Z^d. This construction is directed by a word over the alphabet {1,...,d}. These objects are composed of d disjoint components linked by the origin and enjoy the nice property that each component has a central symmetry as well as the global object. This construction may be seen as a geometric palindromic closure. Among other objects, we get a 3 dimensional version of the Rauzy fractal. For the dimension 2, we show that our construction codes the standard discrete lines and is equivalent to the well known palindromic closure in combinatorics on words.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Domenjoud, Eric" sort="Domenjoud, Eric" uniqKey="Domenjoud E" first="Eric" last="Domenjoud">Eric Domenjoud</name>
</region>
<name sortKey="Vuillon, Laurent" sort="Vuillon, Laurent" uniqKey="Vuillon L" first="Laurent" last="Vuillon">Laurent Vuillon</name>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001830 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 001830 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     Hal:hal-00753935
   |texte=   Geometric Palindromic Closure
}}

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022

	Serveur d'exploration sur la recherche en informatique en Lorraine
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration sur la recherche en informatique en Lorraine

Geometric Palindromic Closure

Geometric Palindromic Closure

Source :

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri