{"id":"https://openalex.org/W46125183","doi":"https://doi.org/10.4171/dms/1-1/2","title":"Some analogies between number theory and dynamical systems on foliated spaces","display_name":"Some analogies between number theory and dynamical systems on foliated spaces","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W46125183","doi":"https://doi.org/10.4171/dms/1-1/2","mag":"46125183"},"language":"en","primary_location":{"id":"doi:10.4171/dms/1-1/2","doi":"https://doi.org/10.4171/dms/1-1/2","is_oa":false,"landing_page_url":"https://doi.org/10.4171/dms/1-1/2","pdf_url":null,"source":{"id":"https://openalex.org/S4306487135","display_name":"EMS Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Congress of Mathematicians 1998","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W3127358834","display_name":"Plenary Lectures and Ceremonies"},"type":"book-chapter","is_traditional":true,"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/A5111506881","display_name":"Christopher Deninger","orcid":"https://orcid.org/0009-0000-9663-7943","observed_orcids":["https://orcid.org/0009-0000-9663-7943"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christopher Deninger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5111506881"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.2045,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.98944193,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"163","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.4146000146865845,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.4146000146865845,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.23229999840259552,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.13680000603199005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/zeta-functions","display_name":"zeta functions","score":0.796999990940094},{"id":"https://openalex.org/keywords/l-functions","display_name":"L-functions","score":0.996999979019165},{"id":"https://openalex.org/keywords/cohomology","display_name":"cohomology","score":0.8949999809265137}],"concepts":[{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.6556631326675415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6171861886978149},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5962019562721252},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5584913492202759},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5333250761032104},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5280148386955261},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.43666332960128784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24185800552368164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10982847213745117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1020972728729248},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04648017883300781}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4171/dms/1-1/2","doi":"https://doi.org/10.4171/dms/1-1/2","is_oa":false,"landing_page_url":"https://doi.org/10.4171/dms/1-1/2","pdf_url":null,"source":{"id":"https://openalex.org/S4306487135","display_name":"EMS Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Congress of Mathematicians 1998","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2486955698","https://openalex.org/W2994396055","https://openalex.org/W6982972386","https://openalex.org/W1738418450","https://openalex.org/W4300660836","https://openalex.org/W1614248557","https://openalex.org/W2794443960","https://openalex.org/W2775567852","https://openalex.org/W1636907775","https://openalex.org/W2807196746"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3],"describe":[4],"what":[5],"a":[6],"cohomology":[7,34],"theory":[8],"related":[9],"to":[10],"zeta":[11],"and":[12],"$L$-functions":[13],"for":[14],"algebraic":[15],"schemes":[16],"over":[17],"the":[18,31],"integers":[19],"should":[20],"look":[21],"like.":[22],"We":[23],"then":[24],"point":[25],"out":[26],"some":[27],"striking":[28],"analogies":[29],"with":[30],"leafwise":[32],"reduced":[33],"of":[35],"certain":[36],"foliated":[37],"dynamical":[38],"systems.":[39]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}