{"id":"https://openalex.org/W4414756261","doi":"https://doi.org/10.37236/14600","title":"The Limit of Repetition Thresholds of Rich Sequences","display_name":"The Limit of Repetition Thresholds of Rich Sequences","publication_year":2026,"publication_date":"2026-04-23","ids":{"openalex":"https://openalex.org/W4414756261","doi":"https://doi.org/10.37236/14600"},"language":"en","primary_location":{"id":"doi:10.37236/14600","is_oa":true,"landing_page_url":"https://doi.org/10.37236/14600","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/14600","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059406138","display_name":"\u013dubom\u00edra Dvo\u0159\u00e1kov\u00e1","orcid":"https://orcid.org/0000-0001-7208-4248"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Lubom\u00edra Dvo\u0159\u00e1kov\u00e1","raw_affiliation_strings":["Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053945124","display_name":"Edita Pelantov\u00e1","orcid":"https://orcid.org/0000-0003-3817-2943"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Edita Pelantov\u00e1","raw_affiliation_strings":["Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08060094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9926000237464905,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9926000237464905,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9559999704360962,"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/T13234","display_name":"advanced mathematical theories","score":0.9524000287055969,"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/repetition","display_name":"Repetition (rhetorical device)","score":0.8650000095367432},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6144000291824341},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6079000234603882},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5810999870300293},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.550599992275238},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5491999983787537}],"concepts":[{"id":"https://openalex.org/C2776141515","wikidata":"https://www.wikidata.org/wiki/Q1274479","display_name":"Repetition (rhetorical device)","level":2,"score":0.8650000095367432},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6744999885559082},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6144000291824341},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6079000234603882},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5810999870300293},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.550599992275238},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5491999983787537},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.40950000286102295},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40149998664855957},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35600000619888306},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31779998540878296},{"id":"https://openalex.org/C3019361169","wikidata":"https://www.wikidata.org/wiki/Q2609467","display_name":"Detection threshold","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2581000030040741},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/14600","is_oa":true,"landing_page_url":"https://doi.org/10.37236/14600","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2509.06104","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.06104","pdf_url":"https://arxiv.org/pdf/2509.06104","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2509.06104","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2509.06104","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"doi:10.37236/14600","is_oa":true,"landing_page_url":"https://doi.org/10.37236/14600","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"repetition":[1,21,45,57,65],"threshold":[2,46,58,66],"of":[3,6,31],"a":[4],"class":[5,18],"sequences":[7,33],"is":[8],"the":[9,17,29,44,56,64],"smallest":[10],"number":[11],"$r$":[12],"such":[13],"that":[14,63],"a~sequence":[15],"from":[16],"contains":[19],"no":[20],"with":[22,71],"exponent":[23],"$>":[24],"r$.":[25],"We":[26],"focus":[27],"on":[28],"class~$\\mathcal{C}_d$":[30],"$d$-ary":[32],"rich":[34],"in":[35],"palindromes.":[36],"In":[37,49],"2020,":[38],"Currie,":[39,51],"Mol,":[40],"and":[41,53,61],"Rampersad":[42],"determined":[43],"for":[47,59,67],"$\\mathcal{C}_2$.":[48],"2024,":[50],"Mol":[52],"Peltom\u00e4ki":[54],"found":[55],"$\\mathcal{C}_3$":[60],"conjectured":[62],"$\\mathcal{C}_d$":[68],"tends":[69],"to~2":[70],"$d$":[72],"growing":[73],"to":[74],"infinity.":[75],"Here":[76],"we":[77],"verify":[78],"their":[79],"conjecture.":[80]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}