{"id":"https://openalex.org/W378919085","doi":"https://doi.org/10.1007/978-3-030-41556-3","title":"A Course on Rough Paths: With an Introduction to Regularity Structures","display_name":"A Course on Rough Paths: With an Introduction to Regularity Structures","publication_year":2020,"publication_date":"2020-05-30","ids":{"openalex":"https://openalex.org/W378919085","doi":"https://doi.org/10.1007/978-3-030-41556-3","mag":"378919085"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-027510427","doi":null,"is_oa":false,"landing_page_url":"https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027510427&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ci.nii.ac.jp/ncid/BB16610566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085656370","display_name":"Peter K. Friz","orcid":"https://orcid.org/0000-0003-2571-8388","observed_orcids":["https://orcid.org/0000-0003-2571-8388"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter K. Friz","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2571-8388","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016315238","display_name":"Martin Hairer","orcid":"https://orcid.org/0000-0002-2141-6561","observed_orcids":["https://orcid.org/0000-0002-2141-6561"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Hairer","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2141-6561","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.7418,"has_fulltext":false,"cited_by_count":153,"citation_normalized_percentile":{"value":0.99111001,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.010599999688565731,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.009700000286102295,"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/rough-paths","display_name":"rough paths","score":0.9829999804496765},{"id":"https://openalex.org/keywords/regularity-structures","display_name":"regularity structures","score":0.9760000109672546},{"id":"https://openalex.org/keywords/stochastic-differential-equations","display_name":"stochastic differential equations","score":0.9700000286102295},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equations","display_name":"stochastic partial differential equations","score":0.9990000128746033},{"id":"https://openalex.org/keywords/kardar-parisi-zhang-equation","display_name":"Kardar-Parisi-Zhang equation","score":0.8949999809265137},{"id":"https://openalex.org/keywords/pathwise-solutions","display_name":"pathwise solutions","score":0.8629999756813049},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.9319999814033508},{"id":"https://openalex.org/keywords/stochastic-analysis","display_name":"stochastic analysis","score":0.3240000009536743}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7267550826072693},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6630474925041199},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5738211274147034},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.51103675365448},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45215508341789246},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.4257586598396301},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.42203840613365173},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4152297377586365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38851267099380493},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07490092515945435},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059821486473083496},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-027510427","doi":null,"is_oa":false,"landing_page_url":"https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027510427&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-027514153","doi":null,"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-08332-2","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"software, multimedia"},{"id":"pmh:oai:cds.cern.ch:1952393","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1952393","pdf_url":null,"source":{"id":"https://openalex.org/S4306400735","display_name":"International Linear Collider","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:cds.cern.ch:2720414","doi":"https://doi.org/10.1007/978-3-030-41556-3","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/2720414","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:dial.uclouvain.be:ebook:53398","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2078/ebook:53398","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:378919085","doi":null,"is_oa":true,"landing_page_url":"https://ci.nii.ac.jp/ncid/BB16610566","pdf_url":null,"source":{"id":"https://openalex.org/S4210197683","display_name":"Medical Entomology and Zoology","issn_l":"0424-7086","issn":["0424-7086","2185-5609"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319750","host_organization_name":"Japan Society of Medical Entomology and Zoology","host_organization_lineage":["https://openalex.org/P4310319750"],"host_organization_lineage_names":["Japan Society of Medical Entomology and Zoology"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"mag:378919085","doi":null,"is_oa":true,"landing_page_url":"https://ci.nii.ac.jp/ncid/BB16610566","pdf_url":null,"source":{"id":"https://openalex.org/S4210197683","display_name":"Medical Entomology and Zoology","issn_l":"0424-7086","issn":["0424-7086","2185-5609"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319750","host_organization_name":"Japan Society of Medical Entomology and Zoology","host_organization_lineage":["https://openalex.org/P4310319750"],"host_organization_lineage_names":["Japan Society of Medical Entomology and Zoology"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W617501864","https://openalex.org/W3106345291","https://openalex.org/W2963269529","https://openalex.org/W2499451752","https://openalex.org/W2131099969","https://openalex.org/W2048920969","https://openalex.org/W2004095444","https://openalex.org/W100459338","https://openalex.org/W616109306","https://openalex.org/W2074366794","https://openalex.org/W2005714749","https://openalex.org/W166242285","https://openalex.org/W3100497783","https://openalex.org/W1973898185","https://openalex.org/W2962942991","https://openalex.org/W1554577510","https://openalex.org/W1967350244","https://openalex.org/W2963472460","https://openalex.org/W2581482186","https://openalex.org/W2024012668"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":24},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}