{"id":"https://openalex.org/W984383851","doi":"https://doi.org/10.4064/-47-1-133-144","title":"Directional transition matrix","display_name":"Directional transition matrix","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W984383851","doi":"https://doi.org/10.4064/-47-1-133-144","mag":"984383851"},"language":"en","primary_location":{"id":"doi:10.4064/-47-1-133-144","doi":"https://doi.org/10.4064/-47-1-133-144","is_oa":true,"landing_page_url":"https://doi.org/10.4064/-47-1-133-144","pdf_url":"https://www.impan.pl/shop/publication/transaction/download/product/110875?download.pdf","source":{"id":"https://openalex.org/S2764976035","display_name":"Banach Center Publications","issn_l":"0137-6934","issn":["0137-6934","1730-6299"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20"],"host_organization":"https://openalex.org/P4324051133","host_organization_name":"Institute of Mathematics, Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4324051133"],"host_organization_lineage_names":["Institute of Mathematics, Polish Academy of Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Banach Center Publications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.impan.pl/shop/publication/transaction/download/product/110875?download.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012454190","display_name":"Hiroshi Kokubu","orcid":"https://orcid.org/0000-0003-2702-841X","observed_orcids":["https://orcid.org/0000-0003-2702-841X"]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Kokubu","raw_affiliation_strings":["Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan ("],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan (","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049298090","display_name":"Konstantin Mischaikow","orcid":"https://orcid.org/0000-0003-2876-4558","observed_orcids":["https://orcid.org/0000-0003-2876-4558"]},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Konstantin Mischaikow","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U. S. A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U. S. A","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028940095","display_name":"Hiroe Oka","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I103390050","display_name":"Ryukoku University","ror":"https://ror.org/012tqgb57","country_code":"JP","type":"education","lineage":["https://openalex.org/I103390050"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroe Oka","raw_affiliation_strings":["Department of Applied Mathematics and Informatics, Faculty of Science and Technology, Ryukoku University, Seta Otsu 520-2194, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Informatics, Faculty of Science and Technology, Ryukoku University, Seta Otsu 520-2194, Japan","institution_ids":["https://openalex.org/I103390050"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5456,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.55466352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"1","first_page":"133","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.7935000061988831,"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":0.7935000061988831,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.03759999945759773,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.014000000432133675,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-dynamics","display_name":"topological dynamics","score":0.5049999952316284},{"id":"https://openalex.org/keywords/topological-conjugacy","display_name":"topological conjugacy","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49264007806777954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4499911367893219},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42695730924606323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3510599136352539},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.21359962224960327},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0847022533416748}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4064/-47-1-133-144","doi":"https://doi.org/10.4064/-47-1-133-144","is_oa":true,"landing_page_url":"https://doi.org/10.4064/-47-1-133-144","pdf_url":"https://www.impan.pl/shop/publication/transaction/download/product/110875?download.pdf","source":{"id":"https://openalex.org/S2764976035","display_name":"Banach Center Publications","issn_l":"0137-6934","issn":["0137-6934","1730-6299"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20"],"host_organization":"https://openalex.org/P4324051133","host_organization_name":"Institute of Mathematics, Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4324051133"],"host_organization_lineage_names":["Institute of Mathematics, Polish Academy of Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Banach Center Publications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.1397","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.1397","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.gatech.edu/~mischaik/papers/kokubu.ps","raw_type":"text"}],"best_oa_location":{"id":"doi:10.4064/-47-1-133-144","doi":"https://doi.org/10.4064/-47-1-133-144","is_oa":true,"landing_page_url":"https://doi.org/10.4064/-47-1-133-144","pdf_url":"https://www.impan.pl/shop/publication/transaction/download/product/110875?download.pdf","source":{"id":"https://openalex.org/S2764976035","display_name":"Banach Center Publications","issn_l":"0137-6934","issn":["0137-6934","1730-6299"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20"],"host_organization":"https://openalex.org/P4324051133","host_organization_name":"Institute of Mathematics, Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4324051133"],"host_organization_lineage_names":["Institute of Mathematics, Polish Academy of Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Banach Center Publications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309321","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W984383851.pdf","grobid_xml":"https://content.openalex.org/works/W984383851.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W27699104","https://openalex.org/W79586319","https://openalex.org/W162901799","https://openalex.org/W1991948908","https://openalex.org/W2046250019","https://openalex.org/W2064482699","https://openalex.org/W2076288192","https://openalex.org/W2093941572","https://openalex.org/W2140530791","https://openalex.org/W4246390303"],"related_works":["https://openalex.org/W2963094436","https://openalex.org/W1029992033","https://openalex.org/W1777016667","https://openalex.org/W7097566821","https://openalex.org/W2471114322","https://openalex.org/W4312627214","https://openalex.org/W2341253697","https://openalex.org/W6922321585","https://openalex.org/W2388278523","https://openalex.org/W2092047626"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"generalization":[3],"of":[4],"topological":[5],"transition":[6],"matrices":[7],"introduced":[8],"in":[9],"[6].":[10]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}