{"id":"https://openalex.org/W2055264282","doi":"https://doi.org/10.1109/cdc.2013.6760386","title":"Dynamics of heterogeneous peer-to-peer networks","display_name":"Dynamics of heterogeneous peer-to-peer networks","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2055264282","doi":"https://doi.org/10.1109/cdc.2013.6760386","mag":"2055264282"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5072319687","display_name":"Fernando Paganini","orcid":"https://orcid.org/0000-0002-1258-9049"},"institutions":[{"id":"https://openalex.org/I4210147939","display_name":"Universidad ORT Uruguay","ror":"https://ror.org/03ypykr22","country_code":"UY","type":"education","lineage":["https://openalex.org/I4210147939"]}],"countries":["UY"],"is_corresponding":false,"raw_author_name":"Fernando Paganini","raw_affiliation_strings":["Universidad ORT Uruguay","Univ. ORT Uruguay, Montevideo, Uruguay"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad ORT Uruguay","institution_ids":["https://openalex.org/I4210147939"]},{"raw_affiliation_string":"Univ. ORT Uruguay, Montevideo, Uruguay","institution_ids":["https://openalex.org/I4210147939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062251722","display_name":"Andr\u00e9s Ferragut","orcid":"https://orcid.org/0000-0003-0134-5548"},"institutions":[{"id":"https://openalex.org/I4210147939","display_name":"Universidad ORT Uruguay","ror":"https://ror.org/03ypykr22","country_code":"UY","type":"education","lineage":["https://openalex.org/I4210147939"]}],"countries":["UY"],"is_corresponding":false,"raw_author_name":"Andres Ferragut","raw_affiliation_strings":["Universidad ORT Uruguay","Univ. ORT Uruguay, Montevideo, Uruguay"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad ORT Uruguay","institution_ids":["https://openalex.org/I4210147939"]},{"raw_affiliation_string":"Univ. ORT Uruguay, Montevideo, Uruguay","institution_ids":["https://openalex.org/I4210147939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109427723","display_name":"Mart\u00edn Zubeld\u00eda","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147939","display_name":"Universidad ORT Uruguay","ror":"https://ror.org/03ypykr22","country_code":"UY","type":"education","lineage":["https://openalex.org/I4210147939"]}],"countries":["UY"],"is_corresponding":false,"raw_author_name":"Martin Zubeldia","raw_affiliation_strings":["Universidad ORT Uruguay","Univ. ORT Uruguay, Montevideo, Uruguay"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad ORT Uruguay","institution_ids":["https://openalex.org/I4210147939"]},{"raw_affiliation_string":"Univ. ORT Uruguay, Montevideo, Uruguay","institution_ids":["https://openalex.org/I4210147939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210147939"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"3293","last_page":"3298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.978600025177002,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bittorrent","display_name":"BitTorrent","score":0.7001363039016724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6930659413337708},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6195083856582642},{"id":"https://openalex.org/keywords/upload","display_name":"Upload","score":0.612774133682251},{"id":"https://openalex.org/keywords/download","display_name":"Download","score":0.5751156806945801},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5210216045379639},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5180418491363525},{"id":"https://openalex.org/keywords/peer-to-peer","display_name":"Peer-to-peer","score":0.5039107203483582},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.43373903632164},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.41853955388069153},{"id":"https://openalex.org/keywords/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.41229212284088135},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36426061391830444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31564223766326904},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2684628367424011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2050517499446869},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09251022338867188},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08485496044158936}],"concepts":[{"id":"https://openalex.org/C520566109","wikidata":"https://www.wikidata.org/wiki/Q133862","display_name":"BitTorrent","level":3,"score":0.7001363039016724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6930659413337708},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6195083856582642},{"id":"https://openalex.org/C71901391","wikidata":"https://www.wikidata.org/wiki/Q7126699","display_name":"Upload","level":2,"score":0.612774133682251},{"id":"https://openalex.org/C2780154274","wikidata":"https://www.wikidata.org/wiki/Q7126717","display_name":"Download","level":2,"score":0.5751156806945801},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5210216045379639},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5180418491363525},{"id":"https://openalex.org/C534932454","wikidata":"https://www.wikidata.org/wiki/Q161410","display_name":"Peer-to-peer","level":2,"score":0.5039107203483582},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.43373903632164},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.41853955388069153},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.41229212284088135},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36426061391830444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31564223766326904},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2684628367424011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2050517499446869},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09251022338867188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08485496044158936},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W239964209","https://openalex.org/W240844920","https://openalex.org/W1538686203","https://openalex.org/W1607022417","https://openalex.org/W1736530648","https://openalex.org/W1967055748","https://openalex.org/W1979635763","https://openalex.org/W1987640899","https://openalex.org/W2039790487","https://openalex.org/W2063807603","https://openalex.org/W2081965600","https://openalex.org/W2088740899","https://openalex.org/W2090459604","https://openalex.org/W2090556263","https://openalex.org/W2098149016","https://openalex.org/W2099376907","https://openalex.org/W2102091746","https://openalex.org/W2111343525","https://openalex.org/W2117047663","https://openalex.org/W2142123158","https://openalex.org/W2166245380","https://openalex.org/W2171076347","https://openalex.org/W2171217544","https://openalex.org/W2533708477","https://openalex.org/W3007820763","https://openalex.org/W3035235874","https://openalex.org/W3104452722","https://openalex.org/W3161642056","https://openalex.org/W6609205758","https://openalex.org/W6670836876","https://openalex.org/W6676227504"],"related_works":["https://openalex.org/W2081918782","https://openalex.org/W955465953","https://openalex.org/W2347387859","https://openalex.org/W2123978205","https://openalex.org/W2001742163","https://openalex.org/W4240078698","https://openalex.org/W1547086384","https://openalex.org/W2138883974","https://openalex.org/W2163567792","https://openalex.org/W2041363710"],"abstract_inverted_index":{"The":[0],"most":[1],"tractable":[2],"models":[3],"of":[4,17,71,102,111,124,135],"population":[5],"dynamics":[6],"in":[7,53],"peer-to-peer":[8],"file":[9],"sharing":[10],"systems":[11],"apply":[12],"to":[13,32,55,120],"a":[14,37,45,60,93,122,145],"single":[15],"class":[16],"peers":[18],"with":[19],"homogeneous":[20],"network":[21],"access":[22],"parameters.":[23],"When":[24],"upload":[25,57],"bandwidths":[26,50],"are":[27,51],"heterogeneous,":[28],"reciprocity":[29],"mechanisms":[30,134],"lead":[31],"non-uniform":[33],"download":[34,49,100],"rates":[35],"and":[36,80,126,143],"more":[38],"complex":[39],"multi-class":[40,73],"dynamics.":[41],"We":[42,90],"consider":[43],"first":[44],"model":[46,70,97,119],"where":[47],"mutual":[48],"allocated":[52],"proportion":[54],"the":[56,72,78,103,107,112,117,133],"speed,":[58],"plus":[59],"uniformly":[61],"distributed":[62],"server":[63],"component.":[64],"For":[65],"an":[66],"ordinary":[67],"differential":[68,95],"equation":[69,96],"peer":[74],"populations,":[75],"we":[76,105,115,139],"characterize":[77,140],"equilibrium":[79,141],"establish":[81,106],"its":[82],"global":[83],"stability,":[84],"invoking":[85],"results":[86],"from":[87],"monotone":[88],"systems.":[89],"also":[91],"analyze":[92],"partial":[94,146],"that":[98],"tracks":[99],"progress":[101],"populations;":[104],"local":[108,149],"asymptotic":[109],"stability":[110],"equilibrium.":[113],"Finally,":[114],"extend":[116],"ODE":[118],"include":[121],"mix":[123],"proportional":[125],"uniform":[127],"bandwidth":[128],"allocation,":[129],"which":[130],"better":[131],"describes":[132],"BitTorrent":[136],"systems;":[137],"again":[138],"configurations":[142],"give":[144],"result":[147],"on":[148],"stability.":[150]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}