{"id":"https://openalex.org/W4403786378","doi":"https://doi.org/10.1016/j.aim.2026.111103","title":"Nonunique ergodicity on the boundary of Outer space","display_name":"Nonunique ergodicity on the boundary of Outer space","publication_year":2026,"publication_date":"2026-06-17","ids":{"openalex":"https://openalex.org/W4403786378","doi":"https://doi.org/10.1016/j.aim.2026.111103"},"language":"en","primary_location":{"id":"doi:10.1016/j.aim.2026.111103","doi":"https://doi.org/10.1016/j.aim.2026.111103","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111103","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2409.15591","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086905932","display_name":"Mladen Bestvina","orcid":"https://orcid.org/0000-0002-6506-4211","observed_orcids":["https://orcid.org/0000-0002-6506-4211"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mladen Bestvina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Elizabeth Field","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elizabeth Field","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046018525","display_name":"Sanghoon Kwak","orcid":"https://orcid.org/0000-0001-5266-8481","observed_orcids":["https://orcid.org/0000-0001-5266-8481"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sanghoon Kwak","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5046018525"],"corresponding_institution_ids":[],"apc_list":{"value":3790,"currency":"USD","value_usd":3790},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07237416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"501","issue":null,"first_page":"111103","last_page":"111103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.798799991607666,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.798799991607666,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.164900004863739,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00839999970048666,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/outer-space","display_name":"outer space","score":0.906000018119812},{"id":"https://openalex.org/keywords/r-tree","display_name":"R-tree","score":0.7839999794960022},{"id":"https://openalex.org/keywords/simplices","display_name":"simplices","score":0.7829999923706055},{"id":"https://openalex.org/keywords/dimension-estimates","display_name":"dimension estimates","score":0.7059999704360962},{"id":"https://openalex.org/keywords/outer-automorphism-group-of-free-groups","display_name":"outer automorphism group of free groups","score":0.6209999918937683}],"concepts":[{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.746537446975708},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6212013959884644},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5750730633735657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32060420513153076},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21283313632011414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20587405562400818},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1392635703086853},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.aim.2026.111103","doi":"https://doi.org/10.1016/j.aim.2026.111103","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111103","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2409.15591","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2409.15591","pdf_url":"https://arxiv.org/pdf/2409.15591","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2409.15591","doi":"https://doi.org/10.48550/arxiv.2409.15591","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2409.15591","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2409.15591","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2409.15591","pdf_url":"https://arxiv.org/pdf/2409.15591","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1391424185","display_name":"RTG: Algebra, Geometry, and Topology at the University of Utah","funder_award_id":"1840190","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3022246983","display_name":"PostDoctoral Research Fellowship","funder_award_id":"2103275","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4336327613","display_name":"Research in Geometry and Topology","funder_award_id":"2304774","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5674123174","display_name":null,"funder_award_id":"HP098501","funder_id":"https://openalex.org/F5450473328","funder_display_name":"Korea Institute for Advanced Study"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310050","display_name":"University of Utah","ror":"https://ror.org/03r0ha626"},{"id":"https://openalex.org/F4320321292","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F5450473328","display_name":"Korea Institute for Advanced Study","ror":"https://ror.org/041hz9568"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403786378.pdf","grobid_xml":"https://content.openalex.org/works/W4403786378.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391842496","https://openalex.org/W1600640176","https://openalex.org/W391854735","https://openalex.org/W2091098874","https://openalex.org/W3013208517","https://openalex.org/W2789913538","https://openalex.org/W2096436143","https://openalex.org/W2531387856","https://openalex.org/W2025386536","https://openalex.org/W7099264398"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2024-10-26T00:00:00"}