{"id":"https://openalex.org/W1558448260","doi":"https://doi.org/10.4230/lipics.stacs.2025.21","title":"Computability of Extender Sets in Multidimensional Subshifts","display_name":"Computability of Extender Sets in Multidimensional Subshifts","publication_year":2015,"publication_date":"2015-01-23","ids":{"openalex":"https://openalex.org/W1558448260","doi":"https://doi.org/10.4230/lipics.stacs.2025.21","mag":"1558448260"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1501.05814","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.05814","pdf_url":"https://arxiv.org/pdf/1501.05814","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1501.05814","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038443903","display_name":"P. Guillon","orcid":"https://orcid.org/0000-0002-4665-6887"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210116669","display_name":"Ch\u00e2teau Gombert","ror":"https://ror.org/02kspbq18","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210116669"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Guillon, Pierre","raw_affiliation_strings":["I2M","I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)"],"affiliations":[{"raw_affiliation_string":"I2M","institution_ids":[]},{"raw_affiliation_string":"I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)","institution_ids":["https://openalex.org/I4210116669","https://openalex.org/I4210160189","https://openalex.org/I4210138206"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020089810","display_name":"Emmanuel Jeandel","orcid":"https://orcid.org/0000-0001-7236-2906"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jeandel, Emmanuel","raw_affiliation_strings":["INRIA Nancy - Grand Est / LORIA","CARTE - Theoretical adverse computations, and safety (France)"],"affiliations":[{"raw_affiliation_string":"INRIA Nancy - Grand Est / LORIA","institution_ids":[]},{"raw_affiliation_string":"CARTE - Theoretical adverse computations, and safety (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038443903"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210116669","https://openalex.org/I4210138206","https://openalex.org/I4210139483","https://openalex.org/I4210160189","https://openalex.org/I98702875"],"apc_list":null,"apc_paid":null,"fwci":0.32538916,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65060241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7171463370323181},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6091400384902954},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.5998244285583496},{"id":"https://openalex.org/keywords/alice-and-bob","display_name":"Alice and Bob","score":0.5819147825241089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5347710251808167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4355047941207886},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.4201088547706604},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4170829653739929},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3767939805984497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35783374309539795},{"id":"https://openalex.org/keywords/alice","display_name":"Alice (programming language)","score":0.27465546131134033}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7171463370323181},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6091400384902954},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.5998244285583496},{"id":"https://openalex.org/C127964579","wikidata":"https://www.wikidata.org/wiki/Q649676","display_name":"Alice and Bob","level":3,"score":0.5819147825241089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5347710251808167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4355047941207886},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4201088547706604},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4170829653739929},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3767939805984497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35783374309539795},{"id":"https://openalex.org/C2778222013","wikidata":"https://www.wikidata.org/wiki/Q1136926","display_name":"Alice (programming language)","level":2,"score":0.27465546131134033},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1501.05814","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.05814","pdf_url":"https://arxiv.org/pdf/1501.05814","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.1501.05814","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1501.05814","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.stacs.2025.21","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.stacs.2025.21","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1501.05814","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1501.05814","pdf_url":"https://arxiv.org/pdf/1501.05814","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1532972246","https://openalex.org/W1565611252","https://openalex.org/W1982939827","https://openalex.org/W2007195430","https://openalex.org/W2014618792","https://openalex.org/W2024285901","https://openalex.org/W2049198892","https://openalex.org/W2075595154","https://openalex.org/W2340787257"],"related_works":["https://openalex.org/W2120222618","https://openalex.org/W2132559993","https://openalex.org/W3134161675","https://openalex.org/W2767455857","https://openalex.org/W3022052004","https://openalex.org/W2154150949","https://openalex.org/W2784688133","https://openalex.org/W3213807924","https://openalex.org/W3204098402","https://openalex.org/W1663218918"],"abstract_inverted_index":{"Subshifts":[0],"are":[1],"sets":[2],"of":[3,5,10,26,29,39,62,84],"colorings":[4],"\u2124^d":[6],"defined":[7],"by":[8],"families":[9],"forbidden":[11],"patterns.":[12],"Given":[13],"a":[14,17,56],"subshift":[15],"and":[16,42,51,64],"finite":[18],"pattern,":[19],"its":[20],"extender":[21,40,48,77],"set":[22,25],"is":[23],"the":[24,37,60,74,80],"admissible":[27],"completions":[28],"this":[30],"pattern.":[31],"It":[32],"has":[33],"been":[34],"conjectured":[35],"that":[36,70],"behavior":[38],"sets,":[41],"in":[43],"particular":[44],"their":[45],"growth":[46],"called":[47],"entropy":[49],"[French":[50],"Pavlov,":[52],"2019],":[53],"could":[54],"provide":[55],"way":[57],"to":[58],"separate":[59],"classes":[61,72],"sofic":[63],"effective":[65],"subshifts.":[66],"We":[67],"prove":[68],"here":[69],"both":[71],"have":[73],"same":[75],"possible":[76],"entropies:":[78],"exactly":[79],"\u03a0\u2083":[81],"real":[82],"numbers":[83],"[0,+\u221e).":[85]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-02-13T15:27:49.765798","created_date":"2025-10-10T00:00:00"}
