{"id":"https://openalex.org/W4392560213","doi":"https://doi.org/10.1137/23m1559270","title":"Guarantees for Spontaneous Synchronization on Random Geometric Graphs","display_name":"Guarantees for Spontaneous Synchronization on Random Geometric Graphs","publication_year":2024,"publication_date":"2024-03-07","ids":{"openalex":"https://openalex.org/W4392560213","doi":"https://doi.org/10.1137/23m1559270"},"language":"en","primary_location":{"id":"doi:10.1137/23m1559270","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1559270","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5010494402","display_name":"Pedro Pugliesi Abdalla","orcid":"https://orcid.org/0000-0002-7490-9466"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Pedro Abdalla","raw_affiliation_strings":["Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025529136","display_name":"Afonso S. Bandeira","orcid":"https://orcid.org/0000-0002-7331-7557"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Afonso S. Bandeira","raw_affiliation_strings":["Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085016598","display_name":"Clara Invernizzi","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Clara Invernizzi","raw_affiliation_strings":["Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, 8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010494402"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":2.0579,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86734914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"23","issue":"1","first_page":"779","last_page":"790"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6171985864639282},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5340211987495422},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4981098175048828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.436740517616272},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3727850019931793},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3727515935897827},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.28972387313842773},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2542512118816376}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6171985864639282},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5340211987495422},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4981098175048828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.436740517616272},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3727850019931793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3727515935897827},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.28972387313842773},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2542512118816376}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1559270","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1559270","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W630423399","https://openalex.org/W1979723177","https://openalex.org/W1999351098","https://openalex.org/W2015084265","https://openalex.org/W2019861006","https://openalex.org/W2065378318","https://openalex.org/W2119509057","https://openalex.org/W2120316325","https://openalex.org/W2138505091","https://openalex.org/W2143075842","https://openalex.org/W2153706317","https://openalex.org/W2168448159","https://openalex.org/W2259617270","https://openalex.org/W2559655401","https://openalex.org/W2612690371","https://openalex.org/W2963287704","https://openalex.org/W2963421284","https://openalex.org/W3087982197","https://openalex.org/W3098464343","https://openalex.org/W3102546692","https://openalex.org/W3104488491","https://openalex.org/W3165212442","https://openalex.org/W3185429264","https://openalex.org/W4246010700","https://openalex.org/W4250954493"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{".The":[0],"Kuramoto":[1,73,116,154],"model":[2,7,74,117,155],"is":[3,42,75,147],"a":[4,23,28,43,58,119],"classical":[5],"mathematical":[6,110],"in":[8,22,46,78,94],"the":[9,17,34,39,47,64,67,72,79,88,115,124,133,141,148,153],"field":[10,48],"of":[11,19,49,135,143],"nonlinear":[12],"dynamical":[13],"systems":[14],"that":[15,25,92,114],"describes":[16],"evolution":[18],"coupled":[20],"oscillators":[21,40],"network":[24],"may":[26],"reach":[27],"synchronous":[29],"state.":[30],"The":[31],"relationship":[32],"between":[33],"network's":[35],"topology":[36],"and":[37,51,84,109],"whether":[38],"synchronize":[41],"central":[44],"question":[45],"synchronization,":[50],"random":[52,68,104,107,120,157],"graphs":[53,69],"are":[54,81],"often":[55],"employed":[56],"as":[57,132],"proxy":[59],"for":[60,152],"complex":[61],"networks.":[62],"On":[63],"other":[65],"hand,":[66],"on":[70,118,123,156],"which":[71],"rigorously":[76],"analyzed":[77],"literature":[80],"homogeneous":[82],"models":[83],"fail":[85],"to":[86,112,130,138],"capture":[87],"underlying":[89],"geometric":[90,121,158],"structure":[91],"appears":[93],"several":[95],"examples.":[96],"In":[97],"this":[98,146],"work,":[99],"we":[100],"leverage":[101],"tools":[102],"from":[103],"matrix":[105],"theory,":[106],"graphs,":[108],"statistics":[111],"prove":[113],"graph":[122],"sphere":[125],"synchronizes":[126],"with":[127],"probability":[128],"tending":[129],"one":[131],"number":[134],"nodes":[136],"tends":[137],"infinity.":[139],"To":[140],"best":[142],"our":[144],"knowledge,":[145],"first":[149],"rigorous":[150],"result":[151],"graphs.KeywordsKuramotocomplex":[159],"networksdynamical":[160],"systemsrandom":[161],"graphsMSC":[162],"codes34Cxx34Dxx":[163]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}