{"id":"https://openalex.org/W76249218","doi":null,"title":"Complex contagions on noisy geometric networks.","display_name":"Complex contagions on noisy geometric networks.","publication_year":2014,"publication_date":"2014-08-06","ids":{"openalex":"https://openalex.org/W76249218","mag":"76249218"},"language":"en","primary_location":{"id":"mag:76249218","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1408.1168","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/1408.1168","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037020807","display_name":"Dane Taylor","orcid":"https://orcid.org/0000-0003-1851-3309","observed_orcids":["https://orcid.org/0000-0003-1851-3309"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dane Taylor","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1851-3309","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059771532","display_name":"Florian Klimm","orcid":"https://orcid.org/0000-0001-7209-5393","observed_orcids":["https://orcid.org/0000-0001-7209-5393"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Florian Klimm","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7209-5393","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060903723","display_name":"Heather A. Harrington","orcid":"https://orcid.org/0000-0002-1705-7869","observed_orcids":["https://orcid.org/0000-0002-1705-7869"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Heather A. Harrington","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087376780","display_name":"Miroslav Kram\u00e1r","orcid":"https://orcid.org/0000-0001-7773-6516","observed_orcids":["https://orcid.org/0000-0001-7773-6516"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miroslav Kram\u00e1r","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7773-6516","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049298090","display_name":"Konstantin Mischaikow","orcid":"https://orcid.org/0000-0003-2876-4558","observed_orcids":["https://orcid.org/0000-0003-2876-4558"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Konstantin Mischaikow","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2876-4558","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058684689","display_name":"Mason Alexander Porter","orcid":"https://orcid.org/0000-0002-5166-0717","observed_orcids":["https://orcid.org/0000-0002-5166-0717"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mason A. Porter","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5166-0717","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054890347","display_name":"Peter J. Mucha","orcid":"https://orcid.org/0000-0002-0648-7230","observed_orcids":["https://orcid.org/0000-0002-0648-7230"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter J. Mucha","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0648-7230","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":false,"cited_by_count":1,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9984999895095825,"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":0.9984999895095825,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.0012000000569969416,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/complex-contagion","display_name":"complex contagion","score":0.9430000185966492},{"id":"https://openalex.org/keywords/spatially-embedded-networks","display_name":"spatially embedded networks","score":0.8880000114440918},{"id":"https://openalex.org/keywords/point-cloud-maps","display_name":"point cloud maps","score":0.6700000166893005},{"id":"https://openalex.org/keywords/ring-lattice","display_name":"ring lattice","score":0.49399998784065247},{"id":"https://openalex.org/keywords/bifurcation-analysis","display_name":"bifurcation analysis","score":0.9409999847412109},{"id":"https://openalex.org/keywords/epidemic-spreading","display_name":"epidemic spread","score":0.6019999980926514},{"id":"https://openalex.org/keywords/social-contagion","display_name":"social contagion","score":0.6169999837875366}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45472848415374756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3613313138484955},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3501129746437073}],"mesh":[],"locations_count":2,"locations":[{"id":"mag:76249218","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1408.1168","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.758.81","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.758.81","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/1408.1168.pdf","raw_type":"text"}],"best_oa_location":{"id":"mag:76249218","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1408.1168","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1912624343","https://openalex.org/W2906221684","https://openalex.org/W7116421514","https://openalex.org/W1830471444","https://openalex.org/W2894557724","https://openalex.org/W2612869935","https://openalex.org/W7005436033","https://openalex.org/W2570588480","https://openalex.org/W7074211392","https://openalex.org/W4385663353"],"abstract_inverted_index":{"The":[0],"study":[1,99],"of":[2,11,60,69,83,86,105,121,133,174,188],"contagions":[3,62,107],"on":[4,42,108],"networks":[5,118],"is":[6,20,36],"central":[7],"to":[8,136,163],"the":[9,43,58,66,75,81,100,138,149,172,189,203,208],"understanding":[10],"collective":[12],"social":[13,32,106],"processes":[14,41],"and":[15,33,124,152,166],"epidemiology.":[16],"When":[17],"a":[18,95,142,175,185],"network":[19,44,139],"constrained":[21],"by":[22],"an":[23],"underlying":[24,47,205],"manifold":[25,206],"such":[26,46,156],"as":[27,72,141],"Earth\u2019s":[28],"surface\u2014as":[29],"in":[30,207],"most":[31],"transportation":[34],"networks\u2014it":[35],"unclear":[37],"how":[38],"much":[39],"spreading":[40],"reflect":[45],"structure,":[48],"especially":[49],"when":[50,61],"long-range":[51,125],"edges":[52],"are":[53,116],"also":[54],"present.":[55],"We":[56,154],"address":[57],"question":[59],"spread":[63],"predominantly":[64],"via":[65,80],"spatial":[67],"propagation":[68],"wavefronts":[70],"(e.g.,":[71],"observed":[73,89],"for":[74,90,145,195],"Black":[76],"Death)":[77],"rather":[78],"than":[79],"appearance":[82],"spatially-distant":[84],"clusters":[85],"contagion":[87,134,190],"(as":[88],"modern":[91],"epidemics).":[92],"To":[93],"provide":[94],"concrete":[96],"scenario,":[97],"we":[98,110,147,159,193,200],"Watts":[101],"threshold":[102],"model":[103],"(WTM)":[104],"what":[109],"call":[111,160],"noisy":[112,168,176],"geometric":[113,169],"networks,":[114],"which":[115,146,158],"spatially-embedded":[117],"that":[119,199],"consist":[120],"both":[122,164],"short-range":[123],"edges.":[126],"Our":[127],"approach":[128,180],"involves":[129],"using":[130],"multiple":[131],"realizations":[132],"dynamics":[135],"map":[137],"nodes":[140],"point":[143,209],"cloud,":[144,210],"analyze":[148],"geometry,":[150],"topology,":[151],"dimensionality.":[153],"apply":[155],"maps,":[157,162],"WTM":[161],"empirical":[165],"synthetic":[167],"networks.":[170],"For":[171],"example":[173],"ring":[177],"lattice,":[178],"our":[179],"yields":[181],"excellent":[182],"agreement":[183],"with":[184],"bifurcation":[186],"analysis":[187],"dynamics.":[191],"Importantly,":[192],"find":[194],"certain":[196],"dynamical":[197],"regimes":[198],"can":[201],"identify":[202],"network\u2019s":[204]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}