{"id":"https://openalex.org/W2149704695","doi":"https://doi.org/10.1142/s0218127409023585","title":"NECESSITY FROM CHANCE: SELF-ORGANIZED REPLICATION OF SYMMETRIC PATTERNS THROUGH SYMMETRIC RANDOM INTERACTIONS","display_name":"NECESSITY FROM CHANCE: SELF-ORGANIZED REPLICATION OF SYMMETRIC PATTERNS THROUGH SYMMETRIC RANDOM INTERACTIONS","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2149704695","doi":"https://doi.org/10.1142/s0218127409023585","mag":"2149704695"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023585","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023585","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","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/A5104362669","display_name":"Andr\u00e9 Barb\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"ANDR\u00c9 BARB\u00c9","raw_affiliation_strings":["Department of Electrical Engineering, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B3001 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5104362669"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16891976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"04","first_page":"1185","last_page":"1225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9937999844551086,"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"}},{"id":"https://openalex.org/T11879","display_name":"Protist diversity and phylogeny","score":0.9919999837875366,"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"}},{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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/population","display_name":"Population","score":0.6183146238327026},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5523461103439331},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5375741124153137},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.5368983745574951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49763205647468567},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4936028718948364},{"id":"https://openalex.org/keywords/symmetric-function","display_name":"Symmetric function","score":0.46142131090164185},{"id":"https://openalex.org/keywords/copying","display_name":"Copying","score":0.4467844069004059},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4407367706298828},{"id":"https://openalex.org/keywords/replication","display_name":"Replication (statistics)","score":0.42987436056137085},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"Symmetry breaking","score":0.41257545351982117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3817087411880493},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3798334300518036},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3510361909866333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14854082465171814},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1251753866672516},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.10040825605392456},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09308245778083801},{"id":"https://openalex.org/keywords/evolutionary-biology","display_name":"Evolutionary biology","score":0.08407512307167053}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6183146238327026},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5523461103439331},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5375741124153137},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5368983745574951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49763205647468567},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4936028718948364},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.46142131090164185},{"id":"https://openalex.org/C2779151265","wikidata":"https://www.wikidata.org/wiki/Q1156791","display_name":"Copying","level":2,"score":0.4467844069004059},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4407367706298828},{"id":"https://openalex.org/C12590798","wikidata":"https://www.wikidata.org/wiki/Q3933199","display_name":"Replication (statistics)","level":2,"score":0.42987436056137085},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.41257545351982117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3817087411880493},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3798334300518036},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3510361909866333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14854082465171814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1251753866672516},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10040825605392456},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09308245778083801},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.08407512307167053},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023585","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023585","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W626997277","https://openalex.org/W1525511955","https://openalex.org/W1576426930","https://openalex.org/W1994498898","https://openalex.org/W2033857457","https://openalex.org/W2083496215","https://openalex.org/W2145600675","https://openalex.org/W2487249630","https://openalex.org/W4230164823","https://openalex.org/W4241317014","https://openalex.org/W4248586881","https://openalex.org/W4252292900","https://openalex.org/W4299796063","https://openalex.org/W4388252848","https://openalex.org/W4388299768"],"related_works":["https://openalex.org/W4308771405","https://openalex.org/W2355873265","https://openalex.org/W2963669501","https://openalex.org/W3080197661","https://openalex.org/W4318471783","https://openalex.org/W2760667490","https://openalex.org/W2991781269","https://openalex.org/W775724729","https://openalex.org/W2137489486","https://openalex.org/W2021042108"],"abstract_inverted_index":{"We":[0,126],"present":[1],"an":[2,121],"algorithm,":[3],"completely":[4],"random":[5,68,80,106],"in":[6,20,31,82,95,116],"nature,":[7],"that,":[8],"without":[9],"invoking":[10],"a":[11,21,32,48,52,59,67,79,105,114],"fitness":[12],"function":[13],"or":[14],"purposeful":[15],"design,":[16],"produces":[17],"symmetric":[18],"replicas":[19],"population":[22,60,115],"of":[23,28,42,61,90,133],"so-called":[24],"cellicules.":[25],"Cellicules":[26],"consist":[27],"\"cells\"":[29],"arranged":[30],"structure":[33],"with":[34,84,108],"geometric":[35],"symmetry":[36,86],"S.":[37,87],"Each":[38],"cell":[39],"has":[40],"one":[41],"two":[43,72],"possible":[44],"states,":[45],"thus":[46],"defining":[47],"state-configuration":[49],"pattern":[50],"on":[51,58,142],"cellicule.":[53],"The":[54,88],"algorithm":[55,92],"acts":[56],"recurrently":[57],"cellicules,":[62],"possibly":[63],"randomly":[64,73],"initialized,":[65],"through":[66],"\"copying":[69],"interaction\"":[70],"between":[71],"selected":[74],"cellicules":[75,119],"that":[76,102],"first":[77],"undergo":[78],"reorientation":[81],"accordance":[83],"the":[85,91,131,143],"dynamics":[89],"is":[93,104],"analyzed":[94],"detail":[96],"for":[97],"several":[98],"symmetries.":[99],"This":[100],"shows":[101],"it":[103],"walk":[107],"absorbing":[109],"states":[110],"which":[111,117],"correspond":[112],"to":[113],"all":[118],"have":[120],"identical":[122],"S-symmetric":[123],"configuration":[124],"pattern.":[125],"discuss":[127],"some":[128,140],"aspects":[129],"concerning":[130],"evolution":[132],"cellicule-populations":[134],"under":[135],"mixing":[136],"and":[137,139],"mutation,":[138],"variations":[141],"basic":[144],"algorithm.":[145]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}