{"id":"https://openalex.org/W7225626656","doi":"https://doi.org/10.5281/zenodo.24093700","title":"Dirichlet-to-Neumann zeta hierarchies for thin homothetic cones","display_name":"Dirichlet-to-Neumann zeta hierarchies for thin homothetic cones","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225626656","doi":"https://doi.org/10.5281/zenodo.24093700"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24093700","doi":"https://doi.org/10.5281/zenodo.24093700","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24093700","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24093700","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160141419","display_name":"F\u00e1bio Dayan Soares de Melo","orcid":"https://orcid.org/0009-0006-6475-0187","observed_orcids":["https://orcid.org/0009-0006-6475-0187"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"de Melo, F\u00e1bio Dayan Soares","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0006-6475-0187","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160141419"],"corresponding_institution_ids":[],"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9545999765396118,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9545999765396118,"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/T11166","display_name":"Analytic Number Theory Research","score":0.012900000438094139,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.006200000178068876,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/spectral-zeta-function","display_name":"spectral zeta function","score":0.6919999718666077},{"id":"https://openalex.org/keywords/dirichlet-to-neumann-map","display_name":"Dirichlet-to-Neumann map","score":0.8240000009536743},{"id":"https://openalex.org/keywords/frozen-layer","display_name":"frozen layer","score":0.7080000042915344},{"id":"https://openalex.org/keywords/neumann-boundary-conditions","display_name":"Neumann boundary conditions","score":0.7960000038146973},{"id":"https://openalex.org/keywords/eigenvalue-asymptotics","display_name":"eigenvalue asymptotics","score":0.7049999833106995},{"id":"https://openalex.org/keywords/isosceles-triangles","display_name":"isosceles triangles","score":0.7720000147819519},{"id":"https://openalex.org/keywords/perturbation-theory","display_name":"perturbation theory","score":0.3529999852180481},{"id":"https://openalex.org/keywords/transverse-profile","display_name":"transverse profile","score":0.5199999809265137},{"id":"https://openalex.org/keywords/lean-formalization","display_name":"Lean formalization","score":0.4359999895095825}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8242999911308289},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6891000270843506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4934000074863434},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45190000534057617},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.44670000672340393},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.4302999973297119},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.40310001373291016},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.3968000113964081},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3952000141143799},{"id":"https://openalex.org/C91709909","wikidata":"https://www.wikidata.org/wiki/Q583960","display_name":"Homothetic transformation","level":2,"score":0.3898000121116638},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3767000138759613},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.34850001335144043},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.33489999175071716},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.302700012922287},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.29660001397132874},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C152022596","wikidata":"https://www.wikidata.org/wiki/Q7268361","display_name":"Quadratic form (statistics)","level":2,"score":0.2849999964237213},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.25369998812675476},{"id":"https://openalex.org/C2780639617","wikidata":"https://www.wikidata.org/wiki/Q6516972","display_name":"Quadrant (abdomen)","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24093700","doi":"https://doi.org/10.5281/zenodo.24093700","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24093700","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24093701","doi":"https://doi.org/10.5281/zenodo.24093701","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24093701","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24093700","doi":"https://doi.org/10.5281/zenodo.24093700","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24093700","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W7225626296","https://openalex.org/W7225660800"],"related_works":["https://openalex.org/W7225626296","https://openalex.org/W7225660800","https://openalex.org/W4244226892","https://openalex.org/W2328606200","https://openalex.org/W1992907858","https://openalex.org/W4252103039","https://openalex.org/W1855918773","https://openalex.org/W2002693743","https://openalex.org/W2558346865","https://openalex.org/W2967682656"],"abstract_inverted_index":{"On":[0,45],"a":[1,19,38,119,139,210,233,268,273],"thin":[2,72],"homothetic":[3],"cone":[4,131],"with":[5,276],"Neumann":[6,135],"condition":[7],"on":[8,101],"the":[9,12,16,34,48,66,71,82,85,95,105,261,265,277,280,282,286,290],"lateral":[10],"boundary,":[11],"frozen":[13,83],"layer":[14,96],"at":[15,110],"base":[17,143],"is":[18,37,65,78,295],"quadratic":[20],"form":[21],"of":[22,40,88,94,108,289],"(A":[23,149],"\u2212":[24,124,150,253],"q\u03b4\u00b2)^{\u00b11/2}":[25,151],"against":[26],"one":[27],"canonical":[28],"transverse":[29],"profile.":[30],"Its":[31],"expansion":[32],"in":[33],"opening":[35],"\u03b4":[36,161],"hierarchy":[39],"weighted":[41],"spectral":[42],"zeta":[43],"values.":[44],"an":[46],"interval":[47],"first":[49],"Dirichlet":[50,176],"monomials":[51],"are":[52],"4q":[53,178],"\u03b6(3)":[54,179],"\u03c0\u207b\u00b3":[55,180],"\u03b4\u00b3":[56,181],"and":[57,272,285,300],"\u22122q\u00b2":[58,183],"\u03b6(5)":[59,184],"\u03c0\u207b\u2075":[60,185],"\u03b4\u2075.":[61,186],"The":[62,75,258],"cubic":[63],"monomial":[64,77],"eigenvalue":[67,86],"coefficient":[68,87],"proved":[69],"for":[70,81],"isosceles":[73],"triangle.":[74],"quintic":[76],"evaluated":[79],"here":[80],"layer;":[84],"\u03b4\u2075":[89,218],"remains":[90],"open.":[91],"A":[92],"perturbation":[93],"that":[97],"does":[98,116],"not":[99,117],"depend":[100],"q":[102,109,230,237],"cannot":[103],"cancel":[104],"highest":[106],"power":[107],"each":[111],"order.":[112],"That":[113],"degree":[114],"bound":[115],"cover":[118],"longitudinal":[120,249],"corrector":[121],"solving":[122],"(L":[123,252],"q)G":[125,254],"=":[126,255],"known":[127],"term.":[128],"Em":[129,169],"um":[130,153,170,247],"homot\u00e9tico":[132],"fino":[133],"com":[134],"na":[136,142,159],"fronteira":[137],"lateral,":[138],"camada":[140,211,225],"congelada":[141],"\u00e9":[144,162,190,206],"uma":[145,163],"forma":[146],"quadr\u00e1tica":[147],"de":[148,165,175,203,229,236,243],"contra":[152],"perfil":[154],"transversal":[155],"can\u00f4nico.":[156],"Sua":[157],"expans\u00e3o":[158],"abertura":[160],"hierarquia":[164],"zetas":[166],"espectrais":[167],"ponderadas.":[168],"intervalo,":[171],"os":[172],"primeiros":[173],"mon\u00f4mios":[174],"s\u00e3o":[177],"e":[182],"O":[187,201],"mon\u00f4mio":[188,202],"c\u00fabico":[189],"o":[191,197,213],"coeficiente":[192,214],"do":[193,215],"autovalor":[194,216],"provado":[195],"para":[196,209],"tri\u00e2ngulo":[198],"is\u00f3sceles":[199],"fino.":[200],"quinta":[204],"ordem":[205],"calculado":[207],"aqui":[208],"congelada;":[212],"em":[217,220,238],"continua":[219],"aberto.":[221],"Uma":[222],"perturba\u00e7\u00e3o":[223],"da":[224],"que":[226,250],"n\u00e3o":[227,231,245],"depende":[228],"cancela":[232],"maior":[234],"pot\u00eancia":[235],"cada":[239],"ordem.":[240],"Essa":[241],"cota":[242],"grau":[244],"cobre":[246],"corretor":[248],"resolve":[251],"termo":[256],"conhecido.":[257],"record":[259,294],"contains":[260],"English":[262],"PDF":[263],"as":[264],"main":[266],"file,":[267],"faithful":[269],"Portuguese":[270],"PDF,":[271],"supplementary":[274],"archive":[275],"TeX":[278],"sources,":[279],"figure,":[281],"verification":[283],"script":[284],"Lean":[287],"sources":[288],"closed":[291],"identities.":[292],"This":[293],"https://doi.org/10.5281/zenodo.24093701.":[296],"It":[297],"references":[298],"https://doi.org/10.5281/zenodo.24084530":[299],"https://doi.org/10.5281/zenodo.24088281.":[301]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}
