{"id":"https://openalex.org/W1514057982","doi":"https://doi.org/10.1109/tit.2010.2070130","title":"On Information Rates of the Fading Wyner Cellular Model via the Thouless Formula for the Strip","display_name":"On Information Rates of the Fading Wyner Cellular Model via the Thouless Formula for the Strip","publication_year":2010,"publication_date":"2010-10-20","ids":{"openalex":"https://openalex.org/W1514057982","doi":"https://doi.org/10.1109/tit.2010.2070130","mag":"1514057982"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2070130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2070130","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","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/A5045753928","display_name":"Nathan Levy","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR","IL"],"is_corresponding":false,"raw_author_name":"Nathan Levy","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa, Israel","D\u00e9partement de Math\u00e9\u00e9matiques et Applications, Ecole Normale Sup\u00e9erieure, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9\u00e9matiques et Applications, Ecole Normale Sup\u00e9erieure, Paris, France","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000594503","display_name":"Ofer Zeitouni","orcid":"https://orcid.org/0000-0002-2520-1525"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Ofer Zeitouni","raw_affiliation_strings":["Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel","University of Minnesota, School of Mathematics, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"University of Minnesota, School of Mathematics, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025989795","display_name":"Shlomo Shamai","orcid":"https://orcid.org/0000-0002-6594-3371"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Shlomo Shamai","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Technion City, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Technion City, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.527,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.83070487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"56","issue":"11","first_page":"5495","last_page":"5514"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.6268424987792969},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4441075026988983},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39024731516838074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3860227167606354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3508261442184448},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18834689259529114},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11728203296661377},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11691781878471375}],"concepts":[{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.6268424987792969},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4441075026988983},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39024731516838074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3860227167606354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3508261442184448},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18834689259529114},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11728203296661377},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11691781878471375},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2010.2070130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2070130","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.311.3137","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.311.3137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0806.2991v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W66179134","https://openalex.org/W1600977221","https://openalex.org/W1830460230","https://openalex.org/W1979336192","https://openalex.org/W1988097099","https://openalex.org/W2041504681","https://openalex.org/W2041565260","https://openalex.org/W2053347259","https://openalex.org/W2058458624","https://openalex.org/W2059121108","https://openalex.org/W2072184935","https://openalex.org/W2086605818","https://openalex.org/W2112508077","https://openalex.org/W2118259605","https://openalex.org/W2122101931","https://openalex.org/W2130509920","https://openalex.org/W2131034300","https://openalex.org/W2141262522","https://openalex.org/W2156315971","https://openalex.org/W2181292907","https://openalex.org/W2506952443","https://openalex.org/W3142587736","https://openalex.org/W3144912999","https://openalex.org/W4244274996","https://openalex.org/W4247649371"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,135],"apply":[4],"the":[5,12,20,44,52,66,71,74,84,90,104,113,121,140],"theory":[6,122],"of":[7,14,46,70,77,79,94,98,103,123],"random":[8,48,61,81,96,124],"Schr\u00f6dinger":[9,62,82,125],"operators":[10],"to":[11,19,59,73,89],"analysis":[13],"multiusers":[15],"communication":[16],"channels":[17],"similar":[18,58],"Wyner":[21],"model,":[22],"which":[23],"are":[24],"characterized":[25],"by":[26],"short-range":[27],"intercell":[28],"interference.":[29],"WithHthe":[30],"channel":[31,72],"transfer":[32],"matrix,HHfis":[33],"a":[34,38,60,80,95,101],"narrow":[35],"band":[36],"matrix,":[37],"fact":[39],"that":[40],"does":[41],"not":[42],"permit":[43],"use":[45],"classical":[47],"matrices":[49,99],"theory.":[50],"On":[51],"other":[53],"hand,HHfis":[54],"in":[55,139],"many":[56],"aspects":[57],"operator.":[63],"We":[64,107],"relate":[65],"per-cell":[67,115],"sum-rate":[68,116],"capacity":[69],"integrated":[75],"density":[76],"states":[78],"operator;":[83],"latter":[85],"is":[86],"then":[87],"related":[88],"top":[91],"Lyapunov":[92],"exponent":[93],"sequence":[97],"via":[100],"version":[102],"Thouless":[105],"formula.":[106],"also":[108],"derive":[109],"several":[110],"bounds":[111],"on":[112,120],"limiting":[114],"capacity,":[117],"some":[118,128,146],"based":[119],"operators,":[126],"and":[127],"derived":[129],"from":[130],"information":[131],"theoretical":[132],"considerations.":[133],"Finally,":[134],"get":[136],"explicit":[137],"results":[138],"high-signal-to-noise":[141],"ratio":[142],"(SNR)":[143],"regime":[144],"for":[145],"particular":[147],"cases.":[148]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
