{"id":"https://openalex.org/W7223884533","doi":"https://doi.org/10.48550/arxiv.2610.34630","title":"Quantum wedges and large deviations for SLE with two force points","display_name":"Quantum wedges and large deviations for SLE with two force points","publication_year":2026,"publication_date":"2026-10-25","ids":{"openalex":"https://openalex.org/W7223884533","doi":"https://doi.org/10.48550/arxiv.2610.34630"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.34630","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.34630","pdf_url":"https://arxiv.org/pdf/2610.34630","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.34630","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137673589","display_name":"Yuchen Fan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fan, Yuchen","raw_affiliation_strings":["Courant Institute Courant Institute New York University New York University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute Courant Institute New York University New York University","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000014512","display_name":"Zhenfeng Tu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tu, Zhenfeng","raw_affiliation_strings":["Courant Institute Courant Institute New York University New York University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute Courant Institute New York University New York University","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.975600004196167,"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":0.975600004196167,"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":0.007600000128149986,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.001500000013038516,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/large-deviations","display_name":"large deviations","score":0.8040000200271606},{"id":"https://openalex.org/keywords/hausdorff-convergence","display_name":"Hausdorff convergence","score":0.8920000195503235},{"id":"https://openalex.org/keywords/random-curves","display_name":"random curves","score":0.3720000088214874}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7228999733924866},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.6259999871253967},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.5715000033378601},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5242000222206116},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5120999813079834},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.4973999857902527},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.4359000027179718},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42320001125335693},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.3750999867916107},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35749998688697815},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3506999909877777},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.33959999680519104},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2808000147342682},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27469998598098755},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.26660001277923584},{"id":"https://openalex.org/C148818006","wikidata":"https://www.wikidata.org/wiki/Q4137985","display_name":"Giant component","level":4,"score":0.26350000500679016},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C15964574","wikidata":"https://www.wikidata.org/wiki/Q7295534","display_name":"Rate function","level":3,"score":0.25029999017715454}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.34630","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.34630","pdf_url":"https://arxiv.org/pdf/2610.34630","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":"doi:10.48550/arxiv.2610.34630","doi":"https://doi.org/10.48550/arxiv.2610.34630","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.34630","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.34630","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.34630","pdf_url":"https://arxiv.org/pdf/2610.34630","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223884533.pdf","grobid_xml":"https://content.openalex.org/works/W7223884533.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1480253648","https://openalex.org/W1571200759","https://openalex.org/W1594909327","https://openalex.org/W1684407388","https://openalex.org/W1973766190","https://openalex.org/W2001657683","https://openalex.org/W2046501510","https://openalex.org/W2048825720","https://openalex.org/W2051115080","https://openalex.org/W2064685239","https://openalex.org/W2093482417","https://openalex.org/W2098932612","https://openalex.org/W2149075098","https://openalex.org/W2161511058","https://openalex.org/W2290880892","https://openalex.org/W2925255212","https://openalex.org/W2939948160","https://openalex.org/W3130653968","https://openalex.org/W3191293604","https://openalex.org/W4233073889","https://openalex.org/W4321456101","https://openalex.org/W4365397498","https://openalex.org/W4367173024","https://openalex.org/W4380301303","https://openalex.org/W4391787640","https://openalex.org/W4403443816","https://openalex.org/W4414883406","https://openalex.org/W4416376954","https://openalex.org/W7220358087"],"related_works":["https://openalex.org/W4380301303","https://openalex.org/W4403443816","https://openalex.org/W3130653968","https://openalex.org/W4414883406","https://openalex.org/W3005435398","https://openalex.org/W7131372277","https://openalex.org/W2290880892","https://openalex.org/W4367173024","https://openalex.org/W7128937632","https://openalex.org/W2963070768"],"abstract_inverted_index":{"We":[0],"prove":[1],"a":[2,49],"good":[3],"large":[4],"deviation":[5],"principle":[6],"for":[7,17],"chordal":[8],"$\\mathrm{SLE}_\u03ba(W_1-2;W_2-2)$":[9],"with":[10],"force":[11],"points":[12],"at":[13],"$0^-$":[14],"and":[15,53],"$0^+$,":[16],"every":[18],"fixed":[19],"$W_1,W_2>0$,":[20],"as":[21],"$\u03ba\\downarrow0$.":[22],"The":[23,33],"topology":[24],"is":[25],"Hausdorff":[26],"convergence":[27],"of":[28,41],"the":[29,39,42,54,60],"entire":[30],"compact":[31],"trace.":[32],"rate":[34],"has":[35],"two":[36],"equivalent":[37],"descriptions:":[38],"sum":[40],"component":[43],"wedge":[44],"energies":[45],"obtained":[46],"by":[47],"cutting":[48],"deterministic":[50],"ambient":[51],"wedge,":[52],"Loewner":[55],"driving":[56],"energy":[57],"relative":[58],"to":[59],"force-point":[61],"drift.":[62]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-28T00:00:00"}
