{"id":"https://openalex.org/W3122353015","doi":"https://doi.org/10.1007/s00454-022-00387-8","title":"Admissible Reversing and Extended Symmetries for Bijective Substitutions","display_name":"Admissible Reversing and Extended Symmetries for Bijective Substitutions","publication_year":2022,"publication_date":"2022-05-11","ids":{"openalex":"https://openalex.org/W3122353015","doi":"https://doi.org/10.1007/s00454-022-00387-8","mag":"3122353015"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-022-00387-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-022-00387-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-022-00387-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-022-00387-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"\u00c1lvaro Bustos","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"\u00c1lvaro Bustos","raw_affiliation_strings":["Departamento de Ingenier\u00eda Matem\u00e1tica Universidad de Chile, Beauchef 851, Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica Universidad de Chile, Beauchef 851, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072639041","display_name":"Daniel Luz","orcid":"https://orcid.org/0000-0002-3210-6796"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Luz","raw_affiliation_strings":["Fakultt fr Mathematik, Universitt Bielefeld, Postfach 100131, 33501 Bielefeld, Germany","Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501, Bielefeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakultt fr Mathematik, Universitt Bielefeld, Postfach 100131, 33501 Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013424640","display_name":"Neil Ma\u00f1ibo","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Neil Ma\u00f1ibo","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501, Bielefeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.6089,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68422782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"69","issue":"3","first_page":"800","last_page":"833"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T11567","display_name":"semigroups and automata theory","score":0.9990000128746033,"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/T12029","display_name":"DNA and Biological Computing","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6691408157348633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5790587067604065},{"id":"https://openalex.org/keywords/crystallographic-point-group","display_name":"Crystallographic point group","score":0.44809699058532715},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33587247133255005},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.2964547276496887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2831576466560364},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24924516677856445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24526768922805786},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.18436765670776367},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.1672995686531067}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6691408157348633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5790587067604065},{"id":"https://openalex.org/C203992732","wikidata":"https://www.wikidata.org/wiki/Q1066315","display_name":"Crystallographic point group","level":3,"score":0.44809699058532715},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33587247133255005},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.2964547276496887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2831576466560364},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24924516677856445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24526768922805786},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.18436765670776367},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.1672995686531067}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-022-00387-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-022-00387-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-022-00387-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2101.10988","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.10988","pdf_url":"https://arxiv.org/pdf/2101.10988","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":null},{"id":"pmh:oai:repositorio.uchile.cl:2250/194911","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/194911","pdf_url":"https://repositorio.uchile.cl/bitstream/2250/194911/1/Admissible_reversing.pdf","source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"Art\u00edculo de revista"},{"id":"pmh:oai:pub.uni-bielefeld.de:2963460","is_oa":true,"landing_page_url":"https://pub.uni-bielefeld.de/record/2963460","pdf_url":null,"source":{"id":"https://openalex.org/S4306401670","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"doi:10.1007/s00454-022-00387-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-022-00387-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-022-00387-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G212038480","display_name":null,"funder_award_id":"EP/S010335/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3726739138","display_name":null,"funder_award_id":"SFB 1283/2 2021-317210226","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6538932988","display_name":null,"funder_award_id":"SFB 1283","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7804956510","display_name":null,"funder_award_id":"2021-317210226","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8201362140","display_name":null,"funder_award_id":"SFB 1283/2 2021","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8439510294","display_name":null,"funder_award_id":"317210226","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3122353015.pdf","grobid_xml":"https://content.openalex.org/works/W3122353015.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1497399181","https://openalex.org/W1886631328","https://openalex.org/W1965297456","https://openalex.org/W1973030685","https://openalex.org/W1974792589","https://openalex.org/W1976168661","https://openalex.org/W1979245447","https://openalex.org/W1985576940","https://openalex.org/W1993509778","https://openalex.org/W2003196011","https://openalex.org/W2022202258","https://openalex.org/W2030717954","https://openalex.org/W2057063746","https://openalex.org/W2057064277","https://openalex.org/W2064823709","https://openalex.org/W2080492884","https://openalex.org/W2092555966","https://openalex.org/W2153525410","https://openalex.org/W2522924293","https://openalex.org/W2532590789","https://openalex.org/W2788051684","https://openalex.org/W2793764308","https://openalex.org/W2807760945","https://openalex.org/W2888450088","https://openalex.org/W2894850790","https://openalex.org/W2930902176","https://openalex.org/W2963466686","https://openalex.org/W2963718355","https://openalex.org/W2963809654","https://openalex.org/W2963820840","https://openalex.org/W2965578958","https://openalex.org/W2967539100","https://openalex.org/W2982391698","https://openalex.org/W3009259455","https://openalex.org/W3037712811","https://openalex.org/W3097374252","https://openalex.org/W3099760794","https://openalex.org/W3102111773","https://openalex.org/W3104620824","https://openalex.org/W4205583173","https://openalex.org/W4206252072","https://openalex.org/W4292512159","https://openalex.org/W4293517843","https://openalex.org/W6818534811"],"related_works":["https://openalex.org/W4287020903","https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2998840281","https://openalex.org/W2027277382","https://openalex.org/W1508013399","https://openalex.org/W3181135859","https://openalex.org/W4302399754"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,73],"deal":[5],"with":[6,83,132,138],"reversing":[7],"and":[8,22,28,51,63,102],"extended":[9,103,139],"symmetries":[10],"of":[11,25,67],"subshifts":[12,27],"generated":[13],"by":[14],"bijective":[15,76],"substitutions.":[16],"We":[17,36],"survey":[18],"some":[19],"general":[20],"algebraic":[21],"dynamical":[23],"properties":[24],"these":[26],"recall":[29],"known":[30],"results":[31],"regarding":[32],"their":[33],"symmetry":[34,84,104,135,140],"groups.":[35],"provide":[37],"equivalent":[38],"conditions":[39],"for":[40,58],"a":[41,48,75,169],"permutation":[42],"on":[43,172],"the":[44,68,133,173],"alphabet":[45],"to":[46,54],"generate":[47],"reversing/extended":[49],"symmetry,":[50],"algorithms":[52],"how":[53],"compute":[55],"them.":[56],"Moreover,":[57],"any":[59,64],"finite":[60],"group":[61,85,105,141],"H":[62],"subgroup":[65],"P":[66],"d":[69],"-dimensional":[70],"hyperoctahedral":[71],"group,":[72,136],"construct":[74],"substitution":[77],"which":[78],"generates":[79],"an":[80],"aperiodic":[81],"subshift":[82],"$${\\mathbb":[86],"{Z}}^{d}\\times":[87],"H$$":[88,110],"<mml:math":[89,111,148],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[90,112,149],"<mml:mrow>":[91,93,113,116,150,153],"<mml:msup>":[92,115,152],"<mml:mi>Z</mml:mi>":[94,117,154],"</mml:mrow>":[95,100,118,126,155,163],"<mml:mi>d</mml:mi>":[96,119,156],"</mml:msup>":[97,120,157],"<mml:mo>\u00d7</mml:mo>":[98,124,158],"<mml:mi>H</mml:mi>":[99,125,159],"</mml:math>":[101,127,164],"$$({\\mathbb":[106,142],"{Z}}^{d}":[107,143],"\\rtimes":[108,146],"P)\\times":[109],"<mml:mo>(</mml:mo>":[114,151],"<mml:mo>\u22ca</mml:mo>":[121,161],"<mml:mi>P</mml:mi>":[122,162],"<mml:mo>)</mml:mo>":[123,160],".":[128],"A":[129],"similar":[130],"construction":[131],"same":[134],"but":[137],"\\times":[144],"H)":[145],"P$$":[147],"is":[165],"also":[166],"provided":[167],"under":[168],"mild":[170],"assumption":[171],"dimension.":[174]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}