{"id":"https://openalex.org/W4392340468","doi":"https://doi.org/10.48550/arxiv.2402.18218","title":"Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds","display_name":"Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds","publication_year":2024,"publication_date":"2024-02-28","ids":{"openalex":"https://openalex.org/W4392340468","doi":"https://doi.org/10.48550/arxiv.2402.18218"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2402.18218","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.18218","pdf_url":"https://arxiv.org/pdf/2402.18218","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2402.18218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090460523","display_name":"Zvi Shem\u2010Tov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shem-Tov, Zvi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040426645","display_name":"Lior Silberman","orcid":"https://orcid.org/0000-0001-8756-3575","observed_orcids":["https://orcid.org/0000-0001-8756-3575"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Silberman, Lior","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.6977999806404114,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.6977999806404114,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.2061000019311905,"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":0.04740000143647194,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperbolic-4-manifolds","display_name":"hyperbolic 4-manifolds","score":0.9779999852180481},{"id":"https://openalex.org/keywords/quantum-limit","display_name":"quantum limit","score":0.722000002861023},{"id":"https://openalex.org/keywords/totally-geodesic-submanifolds","display_name":"totally geodesic submanifolds","score":0.9390000104904175},{"id":"https://openalex.org/keywords/uniform-measure","display_name":"uniform measure","score":0.6119999885559082},{"id":"https://openalex.org/keywords/ergodic-components","display_name":"ergodic components","score":0.8190000057220459},{"id":"https://openalex.org/keywords/homogeneous-dynamics","display_name":"homogeneous dynamics","score":0.39100000262260437}],"concepts":[{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.7848264575004578},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6205587387084961},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46791937947273254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4479316771030426},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18550699949264526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18440720438957214},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11925235390663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2402.18218","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.18218","pdf_url":"https://arxiv.org/pdf/2402.18218","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2402.18218","doi":"https://doi.org/10.48550/arxiv.2402.18218","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2402.18218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2402.18218","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.18218","pdf_url":"https://arxiv.org/pdf/2402.18218","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392340468.pdf","grobid_xml":"https://content.openalex.org/works/W4392340468.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W1999392235","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2075537321","https://openalex.org/W2055668825","https://openalex.org/W2059493168","https://openalex.org/W2142036596"],"abstract_inverted_index":{"We":[0,18],"work":[1],"toward":[2],"the":[3,40,45,50],"arithmetic":[4],"quantum":[5],"unique":[6],"ergodicity":[7],"(AQUE)":[8],"conjecture":[9],"for":[10],"sequences":[11],"of":[12,22,39],"Hecke--Maass":[13],"forms":[14,24],"on":[15,28,53],"hyperbolic":[16],"$4$-manifolds.":[17],"show":[19],"that":[20,35],"limits":[21],"such":[23],"can":[25],"only":[26],"scar":[27],"totally":[29],"geodesic":[30],"$3$-submanifolds,":[31],"and":[32],"in":[33],"fact":[34],"all":[36],"ergodic":[37],"components":[38],"microlocal":[41],"lift":[42],"other":[43],"than":[44],"uniform":[46,51],"measure":[47],"arise":[48],"from":[49],"measures":[52],"these":[54],"submanifolds.":[55]},"counts_by_year":[],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2025-10-10T00:00:00"}