{"id":"https://openalex.org/W3134573318","doi":"https://doi.org/10.1007/978-3-030-80209-7_13","title":"Diffusion Means and Heat Kernel on\u00a0Manifolds","display_name":"Diffusion Means and Heat Kernel on\u00a0Manifolds","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3134573318","doi":"https://doi.org/10.1007/978-3-030-80209-7_13","mag":"3134573318"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-80209-7_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.00588","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037934753","display_name":"Pernille Hansen","orcid":"https://orcid.org/0000-0002-5171-5060"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Pernille Hansen","raw_affiliation_strings":["Department of Computer Science, University of Copenhagen, Copenhagen, Denmark","Department of Computer Science, University of Copenhagen, Copenhagen \u2205, Denmark#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Copenhagen \u2205, Denmark#TAB#","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049480942","display_name":"Benjamin Eltzner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benjamin Eltzner","raw_affiliation_strings":["Felix-Bernstein-Institute for Mathematical Statistics in the Biosciences, Georg-August-Universit\u00e4t at G\u00f6ttingen, Goettingen, Germany"],"affiliations":[{"raw_affiliation_string":"Felix-Bernstein-Institute for Mathematical Statistics in the Biosciences, Georg-August-Universit\u00e4t at G\u00f6ttingen, Goettingen, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103194945","display_name":"Stefan Sommer","orcid":"https://orcid.org/0000-0001-6784-0328"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Stefan Sommer","raw_affiliation_strings":["Department of Computer Science, University of Copenhagen, Copenhagen, Denmark","Department of Computer Science, University of Copenhagen, Copenhagen \u2205, Denmark#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"Department of Computer Science, University of Copenhagen, Copenhagen \u2205, Denmark#TAB#","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037934753"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06030151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"111","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9829999804496765,"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"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9829999804496765,"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"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9771999716758728,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9408000111579895,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/heat-kernel","display_name":"Heat kernel","score":0.7805603742599487},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6608171463012695},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.6355098485946655},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6255582571029663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5985340476036072},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.549573540687561},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5226566195487976},{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.5149562954902649},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4738626480102539},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4565869867801666},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4489521086215973},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.42632368206977844},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.4136624336242676},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28953075408935547},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2722608745098114},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15572449564933777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13614076375961304},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1351318359375},{"id":"https://openalex.org/keywords/innovation-diffusion","display_name":"Innovation diffusion","score":0.09053638577461243}],"concepts":[{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.7805603742599487},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6608171463012695},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6355098485946655},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6255582571029663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5985340476036072},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.549573540687561},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5226566195487976},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.5149562954902649},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4738626480102539},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4565869867801666},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4489521086215973},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.42632368206977844},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.4136624336242676},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28953075408935547},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2722608745098114},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15572449564933777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13614076375961304},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1351318359375},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.09053638577461243},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-030-80209-7_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2103.00588","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00588","pdf_url":"https://arxiv.org/pdf/2103.00588","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":"mag:3134573318","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.00588.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:publications.goettingen-research-online.de:2/136336","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/136336","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/0136a383-c53d-49e2-aeaa-919bebe6d6a7","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/0136a383-c53d-49e2-aeaa-919bebe6d6a7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hansen , P , Eltzner , B & Sommer , S 2021 , Diffusion Means and Heat Kernel on\u00a0Manifolds . in Geometric Science of Information : 5th International Conference, GSI 2021, Paris, France, July 21\u201323, 2021, Proceedings . Springer , Lecture Notes in Computer Science , vol. 12829 , pp. 111-118 , 5th conference on Geometric Science of Information - GSI2021 , Paris , France , 21/07/2021 . https://doi.org/10.1007/978-3-030-80209-7_13","raw_type":"contributionToPeriodical"},{"id":"doi:10.48550/arxiv.2103.00588","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.00588","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.00588","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00588","pdf_url":"https://arxiv.org/pdf/2103.00588","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1758825820","https://openalex.org/W1852328762","https://openalex.org/W2005669468","https://openalex.org/W2027729304","https://openalex.org/W2051616415","https://openalex.org/W2089700743","https://openalex.org/W2092524174","https://openalex.org/W2217701558","https://openalex.org/W2586177931","https://openalex.org/W2616907326","https://openalex.org/W2883374363","https://openalex.org/W2952735854","https://openalex.org/W2982355266","https://openalex.org/W3021977414","https://openalex.org/W3091837215","https://openalex.org/W4246477479","https://openalex.org/W4299441806","https://openalex.org/W6600009367","https://openalex.org/W6604079708"],"related_works":["https://openalex.org/W3186860629","https://openalex.org/W2000801512","https://openalex.org/W1977240919","https://openalex.org/W1976149166","https://openalex.org/W132390375","https://openalex.org/W2952459081","https://openalex.org/W3016628033","https://openalex.org/W3018516288","https://openalex.org/W88885340","https://openalex.org/W2291853634","https://openalex.org/W2010217577","https://openalex.org/W2952471678","https://openalex.org/W2552825710","https://openalex.org/W3103765102","https://openalex.org/W2091558542","https://openalex.org/W1912014092","https://openalex.org/W1880306896","https://openalex.org/W2554005868","https://openalex.org/W2552291935"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
