{"id":"https://openalex.org/W2023749199","doi":"https://doi.org/10.1142/s0219525905000555","title":"ON ASYNCHRONOUS CELLULAR AUTOMATA","display_name":"ON ASYNCHRONOUS CELLULAR AUTOMATA","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2023749199","doi":"https://doi.org/10.1142/s0219525905000555","mag":"2023749199"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525905000555","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525905000555","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101517584","display_name":"Anders Hansson","orcid":null},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. \u00c5. HANSSON","raw_affiliation_strings":["Los Alamos National Laboratory, CCS-DSS, 87545 New Mexico, USA"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, CCS-DSS, 87545 New Mexico, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079309664","display_name":"Henning Mortveit","orcid":"https://orcid.org/0000-0003-3363-2947"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. S. MORTVEIT","raw_affiliation_strings":["VBI/Department of Mathematics, Virgina Polytechnic Institute and State University, Blacksburg, VA 24061, USA"],"affiliations":[{"raw_affiliation_string":"VBI/Department of Mathematics, Virgina Polytechnic Institute and State University, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053661506","display_name":"Christian M. Reidys","orcid":"https://orcid.org/0000-0002-6349-4998"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. M. REIDYS","raw_affiliation_strings":["Los Alamos National Laboratory, CCS-DSS, 87545 New Mexico, USA"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, CCS-DSS, 87545 New Mexico, USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101517584"],"corresponding_institution_ids":["https://openalex.org/I1343871089"],"apc_list":null,"apc_paid":null,"fwci":1.01,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.7687692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"08","issue":"04","first_page":"521","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7544458508491516},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5898382067680359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5606623888015747},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.549385666847229},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.44259321689605713},{"id":"https://openalex.org/keywords/asynchronous-cellular-automaton","display_name":"Asynchronous cellular automaton","score":0.4371088743209839},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4229559004306793},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4116731882095337},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1575952172279358},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.14737609028816223},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.13772904872894287},{"id":"https://openalex.org/keywords/mobile-automaton","display_name":"Mobile automaton","score":0.13290831446647644}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7544458508491516},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5898382067680359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5606623888015747},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.549385666847229},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.44259321689605713},{"id":"https://openalex.org/C13743347","wikidata":"https://www.wikidata.org/wiki/Q4812203","display_name":"Asynchronous cellular automaton","level":5,"score":0.4371088743209839},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4229559004306793},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4116731882095337},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1575952172279358},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.14737609028816223},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.13772904872894287},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.13290831446647644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219525905000555","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525905000555","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:08:y:2005:i:04:n:s0219525905000555","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525905000555","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:08:y:2005:i:04:p:521-538","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525905000555","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1531090979","https://openalex.org/W1979660848","https://openalex.org/W2019107258","https://openalex.org/W2026210450","https://openalex.org/W2027223427","https://openalex.org/W2163903931","https://openalex.org/W2324539182","https://openalex.org/W4238591275"],"related_works":["https://openalex.org/W3103325625","https://openalex.org/W1486898455","https://openalex.org/W2047986527","https://openalex.org/W3090727460","https://openalex.org/W2041905724","https://openalex.org/W4306313719","https://openalex.org/W3128682647","https://openalex.org/W2151690061","https://openalex.org/W4301046126","https://openalex.org/W2162432446"],"abstract_inverted_index":{"We":[0,220],"study":[1],"asynchronous":[2],"cellular":[3],"automata":[4],"(ACA)":[5],"induced":[6,164,274],"by":[7,165,275],"symmetric":[8],"Boolean":[9,168],"functions":[10,67,273],"[1].":[11],"These":[12],"systems":[13,20,28],"can":[14],"be":[15],"considered":[16],"as":[17,108,261],"sequential":[18],"dynamical":[19,27],"(SDS)":[21],"over":[22,267],"words,":[23],"a":[24,33,53,59,64,77,91,109,166,204],"class":[25],"of":[26,31,66,104,111,114,140,176,190,226,243,258,264],"that":[29,180,187],"consists":[30],"(a)":[32],"finite,":[34],"labeled":[35],"graph":[36,143,147],"Y":[37,244],"with":[38,184,215,271],"vertex":[39,49,92,105,124],"set":[40,225],"{v":[41],"1":[42,82],",\u2026,v":[43],"n":[44,149,154],"}":[45],"and":[46,75,117,120,156,222,233,254],"where":[47,86],"each":[48,87,199],"v":[50,56,69,98,106,115,161],"i":[51,57,70,73,89,99,107,116,162],"has":[52],"state":[54,103,113],"x":[55],"in":[58,93,240],"finite":[60,205],"field":[61],"K,":[62],"(b)":[63],"sequence":[65],"(F":[68],",Y":[71,100],")":[72],",":[74],"(c)":[76],"word":[78,192],"w":[79,88],"=":[80,152,245],"(w":[81],",\u2026,w":[83],"k":[84],"),":[85,155],"is":[90,129,144,173,203],"Y.":[94],"The":[95,127],"function":[96,110],"F":[97,160],"updates":[101],"the":[102,112,130,137,142,145,158,174,191,224,241,262,268],"its":[118],"Y-neighbors":[119],"maps":[121,159],"all":[122,157,177,182,230],"other":[123],"states":[125],"identically.":[126],"SDS":[128,214,266],"composed":[131],"map":[132],"[Formula:":[133],"see":[134],"text].":[135],"In":[136,196],"particular":[138],"case":[139,242],"ACA,":[141,179,232],"circle":[146],"on":[148],"vertices":[150],"(Y":[151],"Circ":[153,246],"are":[163,188],"common":[167],"function.":[169],"Our":[170],"main":[171],"result":[172],"identification":[175],"w-independent":[178,200,231],"is,":[181],"ACA":[183,253],"periodic":[185,227],"points":[186,228],"independent":[189],"(update":[193],"schedule)":[194],"w.":[195],"general,":[197],"for":[198,212,229],"SDS,":[201],"there":[202],"group":[206,263],"whose":[207],"structure":[208],"contains":[209],"information":[210],"about":[211],"example":[213],"specific":[216],"phase":[217],"space":[218],"properties.":[219],"classify":[221],"enumerate":[223],"we":[234,250],"also":[235],"compute":[236],"their":[237],"associated":[238],"groups":[239],"4":[247],".":[248,281],"Finally,":[249],"analyze":[251],"invertible":[252],"offer":[255],"an":[256,265],"interpretation":[257],"S":[259],"35":[260],"three-dimensional":[269],"cube":[270],"local":[272],"nor":[276],"3":[277,280],"+":[278],"nand":[279]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}