{"id":"https://openalex.org/W2605442860","doi":"https://doi.org/10.1093/comnet/cnx041","title":"A new framework for dynamical models on multiplex networks","display_name":"A new framework for dynamical models on multiplex networks","publication_year":2017,"publication_date":"2017-08-22","ids":{"openalex":"https://openalex.org/W2605442860","doi":"https://doi.org/10.1093/comnet/cnx041","mag":"2605442860"},"language":"en","primary_location":{"id":"doi:10.1093/comnet/cnx041","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnx041","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1507.00695","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019973061","display_name":"Daryl DeFord","orcid":"https://orcid.org/0000-0003-2032-3168"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daryl R DeFord","raw_affiliation_strings":["Department of Mathematics, Dartmouth College, Hanover, 27 N. Main St. Hanover, NH 03755, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dartmouth College, Hanover, 27 N. Main St. Hanover, NH 03755, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078170104","display_name":"Scott D. Pauls","orcid":"https://orcid.org/0000-0002-0281-2868"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott D Pauls","raw_affiliation_strings":["Department of Mathematics, Dartmouth College, Hanover, 27 N. Main St. Hanover, NH 03755, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dartmouth College, Hanover, 27 N. Main St. Hanover, NH 03755, USA","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019973061"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.18981059,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45853764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":"3","first_page":"353","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.989300012588501,"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/computer-science","display_name":"Computer science","score":0.674538254737854},{"id":"https://openalex.org/keywords/multiplex","display_name":"Multiplex","score":0.6628128886222839},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.5634241700172424},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.544636070728302},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5412400364875793},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4854465126991272},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4560428261756897},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4236161410808563},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34664952754974365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3208225667476654},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.22504451870918274},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21959203481674194}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.674538254737854},{"id":"https://openalex.org/C2781188995","wikidata":"https://www.wikidata.org/wiki/Q6934982","display_name":"Multiplex","level":2,"score":0.6628128886222839},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.5634241700172424},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.544636070728302},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5412400364875793},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4854465126991272},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4560428261756897},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4236161410808563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34664952754974365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3208225667476654},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.22504451870918274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21959203481674194},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/comnet/cnx041","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnx041","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.00695","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.00695","pdf_url":"https://arxiv.org/pdf/1507.00695","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":null},{"id":"mag:2605442860","is_oa":true,"landing_page_url":"http://core.ac.uk/display/29550592","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1507.00695","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1507.00695","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.00695","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.00695","pdf_url":"https://arxiv.org/pdf/1507.00695","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W46703341","https://openalex.org/W393416684","https://openalex.org/W1159540256","https://openalex.org/W1453560013","https://openalex.org/W1512522810","https://openalex.org/W1578099820","https://openalex.org/W1587744656","https://openalex.org/W1606375300","https://openalex.org/W1618470073","https://openalex.org/W1647431324","https://openalex.org/W1664429083","https://openalex.org/W1807089695","https://openalex.org/W1845507378","https://openalex.org/W1875112053","https://openalex.org/W1952898721","https://openalex.org/W1968164782","https://openalex.org/W1968817980","https://openalex.org/W1977181113","https://openalex.org/W1977969989","https://openalex.org/W1981492647","https://openalex.org/W1992407104","https://openalex.org/W2013623009","https://openalex.org/W2014219430","https://openalex.org/W2024224210","https://openalex.org/W2050766178","https://openalex.org/W2052990666","https://openalex.org/W2071453418","https://openalex.org/W2073348267","https://openalex.org/W2074617510","https://openalex.org/W2078844161","https://openalex.org/W2081610921","https://openalex.org/W2081805563","https://openalex.org/W2082190341","https://openalex.org/W2089151787","https://openalex.org/W2097074884","https://openalex.org/W2098005762","https://openalex.org/W2114930814","https://openalex.org/W2121321994","https://openalex.org/W2123583562","https://openalex.org/W2123758551","https://openalex.org/W2125050594","https://openalex.org/W2127387319","https://openalex.org/W2142811312","https://openalex.org/W2143389120","https://openalex.org/W2149527103","https://openalex.org/W2150049940","https://openalex.org/W2154897810","https://openalex.org/W2158328144","https://openalex.org/W2164487624","https://openalex.org/W2171256723","https://openalex.org/W2190793089","https://openalex.org/W2264102307","https://openalex.org/W2296987967","https://openalex.org/W2342114889","https://openalex.org/W2516930855","https://openalex.org/W2556672803","https://openalex.org/W2594770789","https://openalex.org/W3037826211","https://openalex.org/W3098164384","https://openalex.org/W3102201777","https://openalex.org/W3104277044","https://openalex.org/W3121431518","https://openalex.org/W3121812901","https://openalex.org/W4230962939","https://openalex.org/W4238452917","https://openalex.org/W6629191316","https://openalex.org/W6630470879","https://openalex.org/W6670840353","https://openalex.org/W6729278267"],"related_works":["https://openalex.org/W2963188588","https://openalex.org/W839039456","https://openalex.org/W2800442473","https://openalex.org/W2889035529","https://openalex.org/W2897946500","https://openalex.org/W3102201777","https://openalex.org/W1543741170","https://openalex.org/W3106022063","https://openalex.org/W3103677291","https://openalex.org/W120418627","https://openalex.org/W3009283220","https://openalex.org/W3146352320","https://openalex.org/W2793764644","https://openalex.org/W2951665412","https://openalex.org/W1485714758","https://openalex.org/W2979200253","https://openalex.org/W2798907098","https://openalex.org/W2049719481","https://openalex.org/W1866622910"],"abstract_inverted_index":{"Many":[0],"complex":[1],"systems":[2],"have":[3],"natural":[4],"representations":[5],"as":[6],"multi-layer":[7],"networks.":[8],"While":[9],"these":[10,35],"formulations":[11],"retain":[12],"more":[13],"information":[14],"than":[15],"standard":[16],"single-layer":[17],"network":[18,30],"models,":[19],"there":[20],"is":[21],"not":[22],"yet":[23],"a":[24,39,87],"fully":[25],"developed":[26],"theory":[27],"for":[28],"computing":[29],"metrics":[31],"and":[32,50,59,68,111],"statistics":[33],"on":[34,109],"objects.":[36],"We":[37,61,81],"introduce":[38],"family":[40],"of":[41,43,54,65,79,89],"models":[42,108],"multiplex":[44,66,90],"processes":[45],"motivated":[46],"by":[47],"dynamical":[48],"applications":[49],"investigate":[51],"the":[52,72,99,116,120],"properties":[53],"their":[55,77],"spectra":[56],"both":[57],"theoretically":[58],"computationally.":[60],"study":[62],"special":[63],"cases":[64],"diffusion":[67],"Markov":[69],"dynamics,":[70],"using":[71],"spectral":[73],"results":[74],"to":[75,85,106],"compute":[76],"rates":[78],"convergence.":[80],"use":[82],"our":[83,104],"framework":[84],"define":[86],"version":[88],"eigenvector":[91],"centrality,":[92],"which":[93,119],"generalizes":[94],"some":[95],"existing":[96],"notions":[97],"in":[98,118],"literature.":[100],"Last,":[101],"we":[102],"compare":[103],"operator":[105],"structurally-derived":[107],"synthetic":[110],"real-world":[112],"networks,":[113],"helping":[114],"delineate":[115],"contexts":[117],"different":[121],"frameworks":[122],"are":[123],"appropriate.":[124]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
