{"id":"https://openalex.org/W2981063215","doi":"https://doi.org/10.1080/10586458.2021.1982426","title":"Experimental Statistics for Mirzakhani\u2019s Theorem","display_name":"Experimental Statistics for Mirzakhani\u2019s Theorem","publication_year":2021,"publication_date":"2021-10-16","ids":{"openalex":"https://openalex.org/W2981063215","doi":"https://doi.org/10.1080/10586458.2021.1982426","mag":"2981063215"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1982426","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1982426","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.08155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011669974","display_name":"Mark C. Bell","orcid":"https://orcid.org/0000-0001-8543-1093"},"institutions":[{"id":"https://openalex.org/I4210103476","display_name":"Malvern Community Hospital","ror":"https://ror.org/01ar9ff23","country_code":"GB","type":"healthcare","lineage":["https://openalex.org/I4210103476","https://openalex.org/I4210126300"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Mark C. Bell","raw_affiliation_strings":["Independent, Great Malvern, UK"],"affiliations":[{"raw_affiliation_string":"Independent, Great Malvern, UK","institution_ids":["https://openalex.org/I4210103476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011669974"],"corresponding_institution_ids":["https://openalex.org/I4210103476"],"apc_list":null,"apc_paid":null,"fwci":0.4561,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50399855,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"4","first_page":"683","last_page":"691"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.6555134654045105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6000576615333557},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5405904054641724},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.48277440667152405},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4690972566604614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3829638957977295},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3571503162384033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.244552344083786},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16780129075050354},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.09786000847816467},{"id":"https://openalex.org/keywords/zoology","display_name":"Zoology","score":0.09715569019317627}],"concepts":[{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.6555134654045105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6000576615333557},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5405904054641724},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.48277440667152405},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4690972566604614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3829638957977295},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3571503162384033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.244552344083786},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16780129075050354},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.09786000847816467},{"id":"https://openalex.org/C90856448","wikidata":"https://www.wikidata.org/wiki/Q431","display_name":"Zoology","level":1,"score":0.09715569019317627},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10586458.2021.1982426","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1982426","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.08155","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.08155","pdf_url":"https://arxiv.org/pdf/1910.08155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.1910.08155","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.08155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"},{"id":"mag:2981063215","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.08155","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.08155","pdf_url":"https://arxiv.org/pdf/1910.08155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1433134892","display_name":null,"funder_award_id":"ACI-154856","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3355158854","display_name":null,"funder_award_id":"548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G367708065","display_name":null,"funder_award_id":"ACI-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3709464396","display_name":null,"funder_award_id":"-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3730782400","display_name":null,"funder_award_id":"1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7260934811","display_name":null,"funder_award_id":"CI-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310395","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2981063215.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1663305996","https://openalex.org/W1982041505","https://openalex.org/W1986699862","https://openalex.org/W2011930413","https://openalex.org/W2043701535","https://openalex.org/W2061082437","https://openalex.org/W2105314961","https://openalex.org/W2129740858","https://openalex.org/W2213694853","https://openalex.org/W2593183794","https://openalex.org/W2944483116","https://openalex.org/W2962788967","https://openalex.org/W2969592089","https://openalex.org/W3100294251"],"related_works":["https://openalex.org/W3206935096","https://openalex.org/W1514629605","https://openalex.org/W2921625348","https://openalex.org/W2755039172","https://openalex.org/W3184384888","https://openalex.org/W2953890095","https://openalex.org/W2295570425","https://openalex.org/W2294501109","https://openalex.org/W2971842700","https://openalex.org/W1606675831","https://openalex.org/W1982375651","https://openalex.org/W3201859605","https://openalex.org/W2971522506","https://openalex.org/W2147837154","https://openalex.org/W2913859267","https://openalex.org/W2021093043","https://openalex.org/W1584587634","https://openalex.org/W271113396","https://openalex.org/W1988916767","https://openalex.org/W1967531502"],"abstract_inverted_index":{"In":[0,23],"her":[1],"seminal":[2],"2008":[3],"article,":[4,25],"Maryam":[5],"Mirzakhani":[6],"showed":[7],"that":[8,11,36],"the":[9,28,42,49],"ratio":[10,50],"two":[12,46],"topological":[13],"types":[14],"of":[15,44],"curves":[16,40],"occur":[17,47],"in":[18,48],"is":[19],"a":[20],"rational":[21],"number.":[22],"this":[24],"we":[26,32],"describe":[27],"process":[29],"by":[30],"which":[31],"obtained":[33],"experimental":[34],"evidence":[35],"separating":[37],"and":[38],"non-separating":[39],"on":[41],"surface":[43],"genus":[45],"1:48.11":[51],"markcbell.github.io":[52]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}