{"id":"https://openalex.org/W4416830703","doi":"https://doi.org/10.1093/imrn/rnag160","title":"Multiradial SLE with spiral: resampling property and boundary perturbation","display_name":"Multiradial SLE with spiral: resampling property and boundary perturbation","publication_year":2026,"publication_date":"2026-07-02","ids":{"openalex":"https://openalex.org/W4416830703","doi":"https://doi.org/10.1093/imrn/rnag160"},"language":"en","primary_location":{"id":"doi:10.1093/imrn/rnag160","doi":"https://doi.org/10.1093/imrn/rnag160","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imrn/rnag160","pdf_url":null,"source":{"id":"https://openalex.org/S111381568","display_name":"International Mathematics Research Notices","issn_l":"1073-7928","issn":["1073-7928","1687-0247"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Mathematics Research Notices","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1093/imrn/rnag160","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Chongzhi Huang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chongzhi Huang","raw_affiliation_strings":["Yau Mathematical Sciences Center , Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center , Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058827318","display_name":"Eveliina Peltola","orcid":"https://orcid.org/0000-0001-7435-9452","observed_orcids":["https://orcid.org/0000-0001-7435-9452"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]},{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["DE","FI"],"is_corresponding":false,"raw_author_name":"Eveliina Peltola","raw_affiliation_strings":["Department of Mathematics and Systems Analysis , School of Science, Aalto University, Espoo 02150, Finland","Institute for Applied Mathematics , University of Bonn, Bonn 53115, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis , School of Science, Aalto University, Espoo 02150, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Institute for Applied Mathematics , University of Bonn, Bonn 53115, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068084181","display_name":"Hao Wu","orcid":"https://orcid.org/0000-0002-7920-5353","observed_orcids":["https://orcid.org/0000-0002-7920-5353","https://orcid.org/0000-0002-0767-4177"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Wu","raw_affiliation_strings":["Yau Mathematical Sciences Center , Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center , Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4534,"currency":"USD","value_usd":4534},"apc_paid":{"value":4534,"currency":"USD","value_usd":4534},"fwci":12.7941,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.99046035,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"2026","issue":"15","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9750999808311462,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9750999808311462,"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":0.005799999926239252,"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"}},{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.002300000051036477,"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/chordal-sle","display_name":"chordal SLE","score":0.8799999952316284},{"id":"https://openalex.org/keywords/boundary-perturbation","display_name":"boundary perturbation","score":0.9580000042915344},{"id":"https://openalex.org/keywords/partition-function","display_name":"partition function","score":0.847000002861023},{"id":"https://openalex.org/keywords/coulomb-gas","display_name":"Coulomb gas","score":0.8880000114440918},{"id":"https://openalex.org/keywords/electric-and-magnetic-charges","display_name":"electric and magnetic charges","score":0.8960000276565552},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"conformal field theory","score":0.7459999918937683},{"id":"https://openalex.org/keywords/random-curves","display_name":"random curves","score":0.4440000057220459}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7117999792098999},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5340999960899353},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.3953000009059906},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.364300012588501},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.36160001158714294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35899999737739563},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.3546999990940094},{"id":"https://openalex.org/C53688716","wikidata":"https://www.wikidata.org/wiki/Q5659270","display_name":"Harmonic measure","level":3,"score":0.35109999775886536},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.3474999964237213},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3305000066757202},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29789999127388},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28209999203681946},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.26089999079704285}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/imrn/rnag160","doi":"https://doi.org/10.1093/imrn/rnag160","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imrn/rnag160","pdf_url":null,"source":{"id":"https://openalex.org/S111381568","display_name":"International Mathematics Research Notices","issn_l":"1073-7928","issn":["1073-7928","1687-0247"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Mathematics Research Notices","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2509.22045","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2509.22045","pdf_url":"https://arxiv.org/pdf/2509.22045","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/147628","doi":null,"is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/82c2b962-5231-47f3-a89b-27687c9a8cdf","pdf_url":"https://research.aalto.fi/files/232493703/Multiradial_SLE_with_spiral.pdf","source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2509.22045","doi":"https://doi.org/10.48550/arxiv.2509.22045","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2509.22045","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1093/imrn/rnag160","doi":"https://doi.org/10.1093/imrn/rnag160","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imrn/rnag160","pdf_url":null,"source":{"id":"https://openalex.org/S111381568","display_name":"International Mathematics Research Notices","issn_l":"1073-7928","issn":["1073-7928","1687-0247"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Mathematics Research Notices","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1521016025","display_name":"EXC 2047: Hausdorff Center for Mathematics (HCM)","funder_award_id":"390685813","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1600773818","display_name":null,"funder_award_id":"EXC 2047/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4351549459","display_name":null,"funder_award_id":"340461","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5095796221","display_name":null,"funder_award_id":"346315","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G591746060","display_name":null,"funder_award_id":"EXC-2047","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6901668799","display_name":null,"funder_award_id":"101042460","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8118356716","display_name":"SFB 1060: Die Mathematik der emergenten Effekte","funder_award_id":"211504053","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G838580437","display_name":null,"funder_award_id":"211504053","funder_id":"https://openalex.org/F4320337180","funder_display_name":"Hausdorff Research Institute for Mathematics"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320337180","display_name":"Hausdorff Research Institute for Mathematics","ror":null},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416830703.pdf","grobid_xml":"https://content.openalex.org/works/W4416830703.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W1495424320","https://openalex.org/W1495787929","https://openalex.org/W1505212748","https://openalex.org/W1529836796","https://openalex.org/W1571200759","https://openalex.org/W1592052990","https://openalex.org/W1654251741","https://openalex.org/W1781718690","https://openalex.org/W1797893441","https://openalex.org/W1859669281","https://openalex.org/W1963946794","https://openalex.org/W1966926866","https://openalex.org/W1984749076","https://openalex.org/W1995268075","https://openalex.org/W2008137962","https://openalex.org/W2011085908","https://openalex.org/W2011690209","https://openalex.org/W2013245882","https://openalex.org/W2014503260","https://openalex.org/W2015909034","https://openalex.org/W2039050839","https://openalex.org/W2045180462","https://openalex.org/W2048825720","https://openalex.org/W2052665988","https://openalex.org/W2058642873","https://openalex.org/W2068994892","https://openalex.org/W2073450955","https://openalex.org/W2078036533","https://openalex.org/W2082176167","https://openalex.org/W2099626568","https://openalex.org/W2118154107","https://openalex.org/W2120645838","https://openalex.org/W2138111056","https://openalex.org/W2156895775","https://openalex.org/W2166984790","https://openalex.org/W2406858734","https://openalex.org/W2406903305","https://openalex.org/W2444117518","https://openalex.org/W2901903600","https://openalex.org/W2949857522","https://openalex.org/W2949895073","https://openalex.org/W2951944263","https://openalex.org/W2963391152","https://openalex.org/W2963891071","https://openalex.org/W2964108702","https://openalex.org/W3005597767","https://openalex.org/W3007108459","https://openalex.org/W3094268120","https://openalex.org/W3106202260","https://openalex.org/W3122621659","https://openalex.org/W4242893449","https://openalex.org/W4247390922","https://openalex.org/W4367173024","https://openalex.org/W4388448212","https://openalex.org/W4396913330","https://openalex.org/W4399554454","https://openalex.org/W4400667934","https://openalex.org/W4401496969","https://openalex.org/W4409053920","https://openalex.org/W4414563001","https://openalex.org/W4414883406","https://openalex.org/W4416343311","https://openalex.org/W7117248844","https://openalex.org/W7131372277","https://openalex.org/W7154622032"],"related_works":["https://openalex.org/W7154622032","https://openalex.org/W2001412700","https://openalex.org/W2947767228","https://openalex.org/W2148139524","https://openalex.org/W2302015077","https://openalex.org/W4414992216","https://openalex.org/W3107177401","https://openalex.org/W4396913330","https://openalex.org/W2901903600","https://openalex.org/W1505212748"],"abstract_inverted_index":{"Abstract":[0],"We":[1,17,38,61,89],"consider":[2],"multiple":[3],"radial":[4,23],"Schramm\u2013Loewner":[5],"evolution":[6],"(SLE)":[7],"curves":[8,42,74],"with":[9,25,136],"various":[10],"time":[11],"parameterizations":[12],"and":[13,36,53,141],"possible":[14],"spiraling":[15],"behavior.":[16],"construct":[18],"them":[19],"by":[20,34],"tilting":[21],"independent":[22],"SLEs":[24],"a":[26,56,98],"suitable":[27],"local":[28],"martingale,":[29],"generalizing":[30],"the":[31,41,66,73,77,86,93,107,120],"earlier":[32],"construction":[33],"Healey":[35],"Lawler.":[37],"prove":[39],"that":[40,63,92,105],"are":[43],"almost":[44],"surely":[45],"transient":[46],"(i.e.,":[47],"they":[48,64],"emanate":[49],"from":[50],"boundary":[51,100],"points":[52],"terminate":[54],"at":[55],"common":[57],"interior":[58],"target":[59],"point).":[60],"show":[62],"enjoy":[65],"resampling":[67],"property:":[68],"conditional":[69],"on":[70],"all":[71],"of":[72,106,122,132],"but":[75],"one,":[76],"remaining":[78,87],"curve":[79],"is":[80,116],"distributed":[81],"as":[82],"chordal":[83],"SLE":[84,95,109,134],"in":[85,119,126],"domain.":[88],"also":[90],"verify":[91],"multiradial":[94,133],"measure":[96],"satisfies":[97],"natural":[99],"perturbation":[101],"property":[102],"analogous":[103],"to":[104],"known":[108],"variants,":[110],"involving":[111],"its":[112],"partition":[113,130],"function":[114],"(which":[115],"finite).":[117],"Interestingly,":[118],"parlance":[121],"Coulomb":[123],"gas":[124],"formalism":[125],"conformal":[127],"field":[128],"theory,":[129],"functions":[131],"processes":[135],"spiral":[137],"involve":[138],"both":[139],"electric":[140],"magnetic":[142],"charges.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2025-10-10T00:00:00"}