{"id":"https://openalex.org/W3137041801","doi":"https://doi.org/10.3390/axioms10010038","title":"Filtrated Pseudo-Orbit Shadowing Property and Approximately Shadowable Measures","display_name":"Filtrated Pseudo-Orbit Shadowing Property and Approximately Shadowable Measures","publication_year":2021,"publication_date":"2021-03-20","ids":{"openalex":"https://openalex.org/W3137041801","doi":"https://doi.org/10.3390/axioms10010038","mag":"3137041801"},"language":"en","primary_location":{"id":"doi:10.3390/axioms10010038","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10010038","pdf_url":"https://www.mdpi.com/2075-1680/10/1/38/pdf?version=1616375697","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/10/1/38/pdf?version=1616375697","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025428121","display_name":"Kazuhiro Sakai","orcid":"https://orcid.org/0000-0001-5367-5528"},"institutions":[{"id":"https://openalex.org/I207399273","display_name":"Utsunomiya University","ror":"https://ror.org/05bx1gz93","country_code":"JP","type":"education","lineage":["https://openalex.org/I207399273"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kazuhiro Sakai","raw_affiliation_strings":["Department of Mathematics, Utsunomiya University, Utsunomiya 321-8505, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Utsunomiya University, Utsunomiya 321-8505, Japan","institution_ids":["https://openalex.org/I207399273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033966219","display_name":"Naoya Sumi","orcid":null},"institutions":[{"id":"https://openalex.org/I96036126","display_name":"Kumamoto University","ror":"https://ror.org/02cgss904","country_code":"JP","type":"education","lineage":["https://openalex.org/I96036126"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoya Sumi","raw_affiliation_strings":["Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan","institution_ids":["https://openalex.org/I96036126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025428121"],"corresponding_institution_ids":["https://openalex.org/I207399273"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13131786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"1","first_page":"38","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9997000098228455,"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":0.9997000098228455,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9603999853134155,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.944599986076355,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lebesgue-measure","display_name":"Lebesgue measure","score":0.7426115274429321},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.7269428968429565},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.7182145118713379},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6950423717498779},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.653044581413269},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6261728405952454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5816873908042908},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.490726113319397},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4876624345779419},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4825417399406433},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.41668376326560974},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21232500672340393},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1781524419784546}],"concepts":[{"id":"https://openalex.org/C2777105136","wikidata":"https://www.wikidata.org/wiki/Q827230","display_name":"Lebesgue measure","level":3,"score":0.7426115274429321},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.7269428968429565},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7182145118713379},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6950423717498779},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.653044581413269},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6261728405952454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5816873908042908},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.490726113319397},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4876624345779419},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4825417399406433},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.41668376326560974},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21232500672340393},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1781524419784546},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms10010038","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10010038","pdf_url":"https://www.mdpi.com/2075-1680/10/1/38/pdf?version=1616375697","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1d5170c6c4dd4aa99ed06eb02755b3c5","is_oa":true,"landing_page_url":"https://doaj.org/article/1d5170c6c4dd4aa99ed06eb02755b3c5","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 10, Iss 1, p 38 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/10/1/38/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms10010038","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 10; Issue 1; Pages: 38","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms10010038","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10010038","pdf_url":"https://www.mdpi.com/2075-1680/10/1/38/pdf?version=1616375697","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3137041801.pdf","grobid_xml":"https://content.openalex.org/works/W3137041801.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1493425720","https://openalex.org/W1508885817","https://openalex.org/W1990291740","https://openalex.org/W1990562940","https://openalex.org/W2011679795","https://openalex.org/W2064600459","https://openalex.org/W2750855539","https://openalex.org/W2903881667","https://openalex.org/W3000479255"],"related_works":["https://openalex.org/W2964225732","https://openalex.org/W2980829356","https://openalex.org/W2623979582","https://openalex.org/W2076099369","https://openalex.org/W4286858240","https://openalex.org/W2108145585","https://openalex.org/W4299306074","https://openalex.org/W2074721578","https://openalex.org/W928772053","https://openalex.org/W3008743878"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"it":[3,53],"is":[4,35,54],"proved":[5,55],"that":[6,56],"every":[7],"diffeomorphism":[8],"possessing":[9,29],"the":[10,22,25,30,38,47,71],"filtrated":[11,31],"pseudo-orbit":[12,32],"shadowing":[13,33,72],"property":[14,34,73],"admits":[15,75],"an":[16,76],"approximately":[17,77],"shadowable":[18,78],"Lebesgue":[19,79],"measure.":[20,80],"Furthermore,":[21],"C1-interior":[23],"of":[24,27,40,62,66],"set":[26,39,61],"diffeomorphisms":[28,41],"characterized":[36],"as":[37],"satisfying":[42],"both":[43],"Axiom":[44],"A":[45],"and":[46],"no-cycle":[48],"condition.":[49],"As":[50],"a":[51,59],"corollary,":[52],"there":[57],"exists":[58],"C1-open":[60],"diffeomorphisms,":[63],"any":[64],"element":[65],"which":[67],"does":[68],"not":[69],"have":[70],"but":[74]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
