{"id":"https://openalex.org/W2315762862","doi":"https://doi.org/10.1112/jlms/jdv071","title":"Dynamical properties of the tent map","display_name":"Dynamical properties of the tent map","publication_year":2016,"publication_date":"2016-02-02","ids":{"openalex":"https://openalex.org/W2315762862","doi":"https://doi.org/10.1112/jlms/jdv071","mag":"2315762862"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdv071","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv071","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","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/A5031559807","display_name":"Klaus Scheicher","orcid":"https://orcid.org/0000-0001-7031-2462"},"institutions":[{"id":"https://openalex.org/I137696358","display_name":"Gregor Mendel Institute of Molecular Plant Biology","ror":"https://ror.org/05twjp994","country_code":"AT","type":"facility","lineage":["https://openalex.org/I137696358","https://openalex.org/I138211613","https://openalex.org/I4210142901"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"K. Scheicher","raw_affiliation_strings":["Institut fu\u0308r Mathematik, Universita\u0308t fu\u0308r Bodenkultur, Gregor-Mendel-Stra\u00dfe 33, 1180 Vienna, Austria, klaus.scheicher@boku.ac.at","Institut f\u00fcr Mathematik, Universit\u00e4t f\u00fcr Bodenkultur, Gregor\u2010Mendel\u2010Stra\u00dfe 33, 1180 Vienna, Austria, klaus.scheicher@boku.ac.at"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fu\u0308r Mathematik, Universita\u0308t fu\u0308r Bodenkultur, Gregor-Mendel-Stra\u00dfe 33, 1180 Vienna, Austria, klaus.scheicher@boku.ac.at","institution_ids":["https://openalex.org/I137696358"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t f\u00fcr Bodenkultur, Gregor\u2010Mendel\u2010Stra\u00dfe 33, 1180 Vienna, Austria, klaus.scheicher@boku.ac.at","institution_ids":["https://openalex.org/I137696358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042156366","display_name":"V\u0131\u0301ctor F. Sirvent","orcid":null},"institutions":[{"id":"https://openalex.org/I629287","display_name":"Sim\u00f3n Bol\u00edvar University","ror":"https://ror.org/01ak5cj98","country_code":"VE","type":"education","lineage":["https://openalex.org/I629287"]}],"countries":["VE"],"is_corresponding":false,"raw_author_name":"V. F. Sirvent","raw_affiliation_strings":["Departamento de Matema\u0301ticas, Universidad Simo\u0301n Boli\u0301var, Apartado 89000, Caracas 1086-A, Venezuela, vsirvent@usb.ve","Departamento de Matem\u00e1ticas, Universidad Sim\u00f3n Bol\u00edvar, Apartado 89000, Caracas 1086\u2010A, Venezuela, vsirvent@usb.ve"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matema\u0301ticas, Universidad Simo\u0301n Boli\u0301var, Apartado 89000, Caracas 1086-A, Venezuela, vsirvent@usb.ve","institution_ids":["https://openalex.org/I629287"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Sim\u00f3n Bol\u00edvar, Apartado 89000, Caracas 1086\u2010A, Venezuela, vsirvent@usb.ve","institution_ids":["https://openalex.org/I629287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008646506","display_name":"Paul Surer","orcid":"https://orcid.org/0000-0002-4405-4137"},"institutions":[{"id":"https://openalex.org/I137696358","display_name":"Gregor Mendel Institute of Molecular Plant Biology","ror":"https://ror.org/05twjp994","country_code":"AT","type":"facility","lineage":["https://openalex.org/I137696358","https://openalex.org/I138211613","https://openalex.org/I4210142901"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"P. Surer","raw_affiliation_strings":["Institut fu\u0308r Mathematik, Universita\u0308t fu\u0308r Bodenkultur, Gregor-Mendel-Stra\u00dfe 33, 1180 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fu\u0308r Mathematik, Universita\u0308t fu\u0308r Bodenkultur, Gregor-Mendel-Stra\u00dfe 33, 1180 Vienna, Austria","institution_ids":["https://openalex.org/I137696358"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008646506"],"corresponding_institution_ids":["https://openalex.org/I137696358"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":1.5173,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79179192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"93","issue":"2","first_page":"319","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9990000128746033,"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":0.9990000128746033,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9980000257492065,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9909999966621399,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7322221398353577},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.6815270185470581},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6513301134109497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6083879470825195},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.5804082155227661},{"id":"https://openalex.org/keywords/tent-map","display_name":"Tent map","score":0.5447079539299011},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5180366635322571},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.5130504369735718},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5059418082237244},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5014300346374512},{"id":"https://openalex.org/keywords/symbolic-dynamics","display_name":"Symbolic dynamics","score":0.4668726623058319},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46469447016716003},{"id":"https://openalex.org/keywords/topological-conjugacy","display_name":"Topological conjugacy","score":0.44162410497665405},{"id":"https://openalex.org/keywords/transfer-operator","display_name":"Transfer operator","score":0.43726375699043274},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.434451699256897},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.42822733521461487},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.4227752685546875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3677859306335449},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.22344309091567993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21674811840057373},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21423304080963135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1771494448184967},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11826995015144348},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07872357964515686},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0586317777633667},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05521169304847717}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7322221398353577},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.6815270185470581},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6513301134109497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6083879470825195},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5804082155227661},{"id":"https://openalex.org/C15998118","wikidata":"https://www.wikidata.org/wiki/Q11319849","display_name":"Tent map","level":3,"score":0.5447079539299011},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5180366635322571},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.5130504369735718},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5059418082237244},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5014300346374512},{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.4668726623058319},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46469447016716003},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.44162410497665405},{"id":"https://openalex.org/C2777952282","wikidata":"https://www.wikidata.org/wiki/Q3354606","display_name":"Transfer operator","level":2,"score":0.43726375699043274},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.434451699256897},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.42822733521461487},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.4227752685546875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3677859306335449},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.22344309091567993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21674811840057373},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21423304080963135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1771494448184967},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11826995015144348},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07872357964515686},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0586317777633667},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05521169304847717},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/jlms/jdv071","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv071","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:open-archive.highwire.org:jlms:93/2/319","is_oa":false,"landing_page_url":"http://jlms.oxfordjournals.org/cgi/content/short/93/2/319","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"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/W172144954","https://openalex.org/W1480261884","https://openalex.org/W1565611252","https://openalex.org/W2017625474","https://openalex.org/W2021494822","https://openalex.org/W2039899292","https://openalex.org/W2063853232","https://openalex.org/W2076789781","https://openalex.org/W2089164015","https://openalex.org/W2119752290","https://openalex.org/W2759147184","https://openalex.org/W3105233392","https://openalex.org/W4206252072","https://openalex.org/W4312444053","https://openalex.org/W6744639949"],"related_works":["https://openalex.org/W4233316859","https://openalex.org/W3212487472","https://openalex.org/W4302277231","https://openalex.org/W2766466258","https://openalex.org/W2784622257","https://openalex.org/W4362706470","https://openalex.org/W2123653751","https://openalex.org/W4205290484","https://openalex.org/W2349517432","https://openalex.org/W1484776510"],"abstract_inverted_index":{"Tent":[0],"maps":[1,31],"are":[2,75],"continuous":[3],"composites":[4],"of":[5,40,49,52,63],"two":[6],"linear":[7],"functions":[8],"that":[9,69],"act":[10],"on":[11],"the":[12,16,33,61,70],"unit":[13],"interval.":[14],"In":[15],"present":[17],"paper,":[18],"we":[19],"describe":[20],"and":[21,32],"analyse":[22],"a":[23,37,46,79],"connection":[24],"between":[25],"dynamical":[26,53,73],"systems":[27,74],"induced":[28,35],"by":[29,36],"tent":[30],"dynamics":[34],"certain":[38],"type":[39],"beta-expansion.":[41],"This":[42],"relation,":[43],"which":[44],"is":[45],"weaker":[47],"form":[48],"measure-theoretical":[50],"conjugacy":[51],"systems,":[54],"allows":[55],"us":[56],"to":[57],"transfer":[58],"statements":[59],"concerning":[60],"periodicity":[62],"orbits,":[64],"but":[65],"it":[66],"turns":[67],"out":[68],"underlying":[71],"symbolic":[72],"not":[76],"connected":[77],"via":[78],"finite":[80],"state":[81],"transducer.":[82]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}