{"id":"https://openalex.org/W4410214528","doi":"https://doi.org/10.1137/24m1637854","title":"Book Review: Optimal Mass Transport on Euclidean Spaces","display_name":"Book Review: Optimal Mass Transport on Euclidean Spaces","publication_year":2025,"publication_date":"2025-05-08","ids":{"openalex":"https://openalex.org/W4410214528","doi":"https://doi.org/10.1137/24m1637854"},"language":"en","primary_location":{"id":"doi:10.1137/24m1637854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1637854","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"book-review","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035045595","display_name":"Leon Bungert","orcid":"https://orcid.org/0000-0002-6554-9892"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Leon Bungert","raw_affiliation_strings":["University of W\u00fcrzburg"],"raw_orcid":"https://orcid.org/0000-0002-6554-9892","affiliations":[{"raw_affiliation_string":"University of W\u00fcrzburg","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035045595"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"2","first_page":"408","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9984999895095825,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9983000159263611,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/euclidean-geometry","display_name":"Euclidean geometry","score":0.5026695728302002},{"id":"https://openalex.org/keywords/mass-transport","display_name":"Mass transport","score":0.4463728666305542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4050324857234955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36217838525772095},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.358503520488739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25975704193115234},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16135120391845703},{"id":"https://openalex.org/keywords/engineering-physics","display_name":"Engineering physics","score":0.08062371611595154}],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5026695728302002},{"id":"https://openalex.org/C2989209122","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Mass transport","level":2,"score":0.4463728666305542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4050324857234955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36217838525772095},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.358503520488739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25975704193115234},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16135120391845703},{"id":"https://openalex.org/C61696701","wikidata":"https://www.wikidata.org/wiki/Q770766","display_name":"Engineering physics","level":1,"score":0.08062371611595154}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1637854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1637854","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1522579744","https://openalex.org/W1978220498","https://openalex.org/W4206471589","https://openalex.org/W4229690478","https://openalex.org/W4233762729"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Optimal":[0,126],"transport":[1,55,94],"was":[2,40],"originally":[3],"invented":[4],"by":[5,43,132],"Gaspard":[6],"Monge":[7],"[\u201cM\u00e9moire":[8],"sur":[9],"la":[10],"th\u00e9orie":[11],"des":[12,15],"d\u00e9blais":[13],"et":[14],"remblais,\u201d":[16],"Mem.":[17],"Math.":[18],"Phys.":[19],"Acad.":[20],"Royale":[21],"Sci.,":[22],"(1781),":[23],"pp.":[24,73],"666\u2013704]":[25],"to":[26],"model":[27],"the":[28,52,62,78,86,90,123],"problem":[29],"of":[30,35,54,58,64,92],"optimally":[31],"mapping":[32],"one":[33],"distribution":[34],"mass":[36],"onto":[37],"another.":[38],"This":[39,118],"later":[41],"reformulated":[42],"Leonid":[44],"Kantorovich":[45],"as":[46],"a":[47,106],"well-posed":[48],"linear":[49],"program":[50],"using":[51],"notion":[53],"plans":[56],"instead":[57],"maps":[59],"in":[60,82,115],"[\u201cOn":[61],"translocation":[63],"masses,\u201d":[65],"Dokl.":[66],"Akad.":[67],"Nauk.":[68],"USSR":[69],"(N.S.),":[70],"37":[71],"(1942),":[72],"199\u2013201],":[74],"which":[75],"earned":[76],"him":[77],"Nobel":[79],"Memorial":[80],"Prize":[81],"Economic":[83],"Sciences.":[84],"In":[85],"past":[87],"four":[88],"decades":[89],"field":[91],"optimal":[93],"has":[95,103],"grown":[96],"far":[97],"beyond":[98],"its":[99],"original":[100],"purpose":[101],"and":[102,114],"evolved":[104],"into":[105],"driving":[107],"force":[108],"for":[109],"applications":[110],"both":[111],"within":[112],"mathematics":[113],"other":[116],"sciences.":[117],"book":[119],"review":[120],"deals":[121],"with":[122],"new":[124],"monograph":[125],"Mass":[127],"Transport":[128],"on":[129],"Euclidean":[130],"Spaces":[131],"Francesco":[133],"Maggi.":[134]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}