{"id":"https://openalex.org/W2953101633","doi":"https://doi.org/10.1017/s0021900200011396","title":"On a \u2018Replicating Character String\u2019 Model","display_name":"On a \u2018Replicating Character String\u2019 Model","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2953101633","doi":"https://doi.org/10.1017/s0021900200011396","mag":"2953101633"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200011396","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200011396","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","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/A5084962382","display_name":"Richard C. Bradley","orcid":"https://orcid.org/0000-0002-3339-8364"},"institutions":[{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard C. Bradley","raw_affiliation_strings":["Indiana University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indiana University","institution_ids":["https://openalex.org/I592451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084962382"],"corresponding_institution_ids":["https://openalex.org/I592451"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3021258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"02","first_page":"512","last_page":"527"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9883999824523926,"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/mixing","display_name":"Mixing (physics)","score":0.8233629465103149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8172606229782104},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7807780504226685},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.7389363050460815},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5906373858451843},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5383447408676147},{"id":"https://openalex.org/keywords/random-sequence","display_name":"Random sequence","score":0.504941999912262},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5024123191833496},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4174410104751587},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3903571367263794},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3683966100215912},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3503052592277527},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2266378402709961},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11947286128997803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11711099743843079},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07956194877624512},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058378398418426514},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.05681109428405762}],"concepts":[{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.8233629465103149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8172606229782104},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7807780504226685},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.7389363050460815},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5906373858451843},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5383447408676147},{"id":"https://openalex.org/C186515451","wikidata":"https://www.wikidata.org/wiki/Q228191","display_name":"Random sequence","level":3,"score":0.504941999912262},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5024123191833496},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4174410104751587},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3903571367263794},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3683966100215912},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3503052592277527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2266378402709961},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11947286128997803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11711099743843079},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07956194877624512},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058378398418426514},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.05681109428405762},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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:10.1017/s0021900200011396","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200011396","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W180082969","https://openalex.org/W1523228994","https://openalex.org/W1532821729","https://openalex.org/W1600463518","https://openalex.org/W1966733153","https://openalex.org/W1994669566","https://openalex.org/W2008173531","https://openalex.org/W2033562346","https://openalex.org/W2056871913","https://openalex.org/W2091891040","https://openalex.org/W2094547532","https://openalex.org/W2113065129","https://openalex.org/W2331857133","https://openalex.org/W4231163715","https://openalex.org/W4244344965","https://openalex.org/W4244512033","https://openalex.org/W4245943833"],"related_works":["https://openalex.org/W1503216044","https://openalex.org/W2393609567","https://openalex.org/W2369369044","https://openalex.org/W2354143083","https://openalex.org/W2372906645","https://openalex.org/W4319998713","https://openalex.org/W2366269494","https://openalex.org/W2353650902","https://openalex.org/W2347884623","https://openalex.org/W2361201432"],"abstract_inverted_index":{"In":[0,21,42,69,111],"Chaudhuri":[1,73],"and":[2,34,74,94,125],"Dasgupta's":[3],"2006":[4,71],"paper":[5,44],"a":[6,24,38,52,97,128],"certain":[7,79],"stochastic":[8],"model":[9,46],"for":[10,66,101,131],"\u2018replicating":[11],"character":[12],"strings\u2019":[13],"(such":[14],"as":[15],"in":[16,37,51,56,116],"DNA":[17],"sequences)":[18],"was":[19,28],"studied.":[20],"their":[22,45,67,70,120],"model,":[23],"random":[25,31,39],"\u2018input\u2019":[26,85],"sequence":[27,86],"subjected":[29],"to":[30,59],"mutations,":[32],"insertions,":[33],"deletions,":[35],"resulting":[36],"\u2018output\u2019":[40,92],"sequence.":[41],"this":[43],"will":[47,115],"be":[48,88],"set":[49],"up":[50],"slightly":[53,118],"different":[54],"way,":[55],"an":[57],"effort":[58],"facilitate":[60],"further":[61],"development":[62],"of":[63,83,104,122,134],"the":[64,84,91,102,132],"theory":[65],"model.":[68],"paper,":[72],"Dasgupta":[75],"showed":[76],"that,":[77],"under":[78],"conditions,":[80],"strict":[81],"stationarity":[82],"would":[87],"preserved":[89],"by":[90],"sequence,":[93],"they":[95],"proved":[96],"similar":[98],"\u2018preservation\u2019":[99,129],"result":[100,130],"property":[103,133],"strong":[105],"mixing":[106,109,139],"with":[107,137],"exponential":[108],"rate.":[110,140],"our":[112],"setup,":[113],"we":[114],"spirit":[117],"extend":[119],"\u2018preservation":[121],"stationarity\u2019":[123],"result,":[124],"also":[126],"prove":[127],"absolute":[135],"regularity":[136],"summable":[138]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
