{"id":"https://openalex.org/W2757029513","doi":"https://doi.org/10.1515/mcma-2018-0001","title":"Fast generation of isotropic Gaussian random fields on the sphere","display_name":"Fast generation of isotropic Gaussian random fields on the sphere","publication_year":2018,"publication_date":"2018-01-26","ids":{"openalex":"https://openalex.org/W2757029513","doi":"https://doi.org/10.1515/mcma-2018-0001","mag":"2757029513"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2018-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mcma-2018-0001","pdf_url":"http://www.degruyter.com/downloadpdf/j/mcma.2018.24.issue-1/mcma-2018-0001/mcma-2018-0001.xml","source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://www.degruyter.com/downloadpdf/j/mcma.2018.24.issue-1/mcma-2018-0001/mcma-2018-0001.xml","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089306630","display_name":"Peter Creasey","orcid":"https://orcid.org/0000-0002-4049-4928"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter E. Creasey","raw_affiliation_strings":["Department of Physics and Astronomy , University of California , Riverside , CA 92507 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , University of California , Riverside , CA 92507 , USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013038827","display_name":"Annika Lang","orcid":"https://orcid.org/0000-0003-2661-533X"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Annika Lang","raw_affiliation_strings":["Department of Mathematical Sciences , Chalmers University of Technology & University of Gothenburg , 412 96 G\u00f6teborg , Sweden"],"raw_orcid":"https://orcid.org/0000-0003-2661-533X","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , Chalmers University of Technology & University of Gothenburg , 412 96 G\u00f6teborg , Sweden","institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013038827"],"corresponding_institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"],"apc_list":null,"apc_paid":null,"fwci":1.4764,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.79258642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"24","issue":"1","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/combinatorics","display_name":"Combinatorics","score":0.5230632424354553},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.49477332830429077},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.464760422706604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4011761248111725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.397449791431427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3469444215297699},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12810900807380676},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0846782922744751}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5230632424354553},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.49477332830429077},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.464760422706604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4011761248111725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.397449791431427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3469444215297699},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12810900807380676},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0846782922744751}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1515/mcma-2018-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mcma-2018-0001","pdf_url":"http://www.degruyter.com/downloadpdf/j/mcma.2018.24.issue-1/mcma-2018-0001/mcma-2018-0001.xml","source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1709.10314","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.10314","pdf_url":"https://arxiv.org/pdf/1709.10314","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":null,"raw_type":"text"},{"id":"pmh:oai:research.chalmers.se:503625","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/c0aa37fc-287f-40af-b131-cbdcfb09d29e","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1515/mcma-2018-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mcma-2018-0001","pdf_url":"http://www.degruyter.com/downloadpdf/j/mcma.2018.24.issue-1/mcma-2018-0001/mcma-2018-0001.xml","source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6780192790","display_name":null,"funder_award_id":"621-2014-3995","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G8349912277","display_name":null,"funder_award_id":"621-2014-3995","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2757029513.pdf","grobid_xml":"https://content.openalex.org/works/W2757029513.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W143236119","https://openalex.org/W1520053542","https://openalex.org/W1589527987","https://openalex.org/W1837874438","https://openalex.org/W1928207369","https://openalex.org/W1973942504","https://openalex.org/W1976579441","https://openalex.org/W1980327512","https://openalex.org/W2013252827","https://openalex.org/W2024931169","https://openalex.org/W2041202461","https://openalex.org/W2051224170","https://openalex.org/W2051694884","https://openalex.org/W2066373217","https://openalex.org/W2079321251","https://openalex.org/W2108406547","https://openalex.org/W2120062331","https://openalex.org/W2128465878","https://openalex.org/W2136133681","https://openalex.org/W2160615084","https://openalex.org/W2168938915","https://openalex.org/W2173259039","https://openalex.org/W3038165843","https://openalex.org/W3100562901","https://openalex.org/W4248246199"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2794789911","https://openalex.org/W4298134547","https://openalex.org/W2051487156","https://openalex.org/W2389148534","https://openalex.org/W2053555031","https://openalex.org/W2466433367","https://openalex.org/W2554371957"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"efficient":[2,84],"simulation":[3],"of":[4,101,108],"isotropic":[5],"Gaussian":[6],"random":[7],"fields":[8],"on":[9,25,39],"the":[10,89,99,102,109],"unit":[11],"sphere":[12],"is":[13,34,94],"a":[14],"task":[15],"encountered":[16],"frequently":[17],"in":[18,32,52],"numerical":[19],"applications.":[20],"A":[21],"fast":[22,29],"algorithm":[23],"based":[24],"Markov":[26],"properties":[27],"and":[28,96],"Fourier":[30],"transforms":[31],"1d":[33],"presented":[35],"that":[36],"generates":[37],"samples":[38],"an":[40,83],"<m:math":[41,53],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[42,54],"<m:mrow>":[43,55,59,62,68],"<m:mi>n</m:mi>":[44,46,64,71],"<m:mo>\u00d7</m:mo>":[45],"</m:mrow>":[47,72,73,76,77],"</m:math>":[48,78],"{n\\times":[49],"n}":[50],"grid":[51],"<m:mi":[56],"mathvariant=\"normal\">O</m:mi>":[57],"<m:mo>\u2061</m:mo>":[58,70],"<m:mo":[60,74],"stretchy=\"false\">(</m:mo>":[61],"<m:msup>":[63],"<m:mn>2</m:mn>":[65],"</m:msup>":[66],"<m:mo>\u2062</m:mo>":[67],"<m:mi>log</m:mi>":[69],"stretchy=\"false\">)</m:mo>":[75],"{\\operatorname{O}(n^{2}\\log":[79],"n)}":[80],".":[81,117],"Furthermore,":[82],"method":[85],"to":[86],"set":[87],"up":[88],"necessary":[90],"conditional":[91],"covariance":[92],"matrices":[93],"derived":[95],"simulations":[97],"demonstrate":[98],"performance":[100],"algorithm.":[103],"An":[104],"open":[105],"source":[106],"implementation":[107],"code":[110],"has":[111],"been":[112],"made":[113],"available":[114],"at":[115],"https://github.com/pec27/smerfs":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}