{"id":"https://openalex.org/W3173414980","doi":"https://doi.org/10.1137/20m131583x","title":"Determining Key Parameters in Riots Using Lexicographic Directional Differentiation","display_name":"Determining Key Parameters in Riots Using Lexicographic Directional Differentiation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3173414980","doi":"https://doi.org/10.1137/20m131583x","mag":"3173414980"},"language":"en","primary_location":{"id":"doi:10.1137/20m131583x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m131583x","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","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/A5035515750","display_name":"Matthew Ackley","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matthew Ackley","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032183493","display_name":"Peter Stechlinski","orcid":"https://orcid.org/0000-0002-5162-4951"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Stechlinski","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5162-4951","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10418179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"81","issue":"3","first_page":"1303","last_page":"1331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tipping-point","display_name":"Tipping point (physics)","score":0.7438738346099854},{"id":"https://openalex.org/keywords/bandwagon-effect","display_name":"Bandwagon effect","score":0.7305324673652649},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5977895259857178},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5825056433677673},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5246667861938477},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.4866986572742462},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4821745753288269},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4794682264328003},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4177926480770111},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3782789707183838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35168540477752686},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34140491485595703},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.18418484926223755},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15315034985542297},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.1492459774017334},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12218213081359863},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.11224919557571411}],"concepts":[{"id":"https://openalex.org/C114725131","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Tipping point (physics)","level":2,"score":0.7438738346099854},{"id":"https://openalex.org/C52416528","wikidata":"https://www.wikidata.org/wiki/Q955199","display_name":"Bandwagon effect","level":2,"score":0.7305324673652649},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5977895259857178},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5825056433677673},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5246667861938477},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.4866986572742462},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4821745753288269},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4794682264328003},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4177926480770111},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3782789707183838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35168540477752686},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34140491485595703},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.18418484926223755},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15315034985542297},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.1492459774017334},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12218213081359863},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.11224919557571411},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m131583x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m131583x","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","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":33,"referenced_works":["https://openalex.org/W1556970576","https://openalex.org/W1783840476","https://openalex.org/W1795140401","https://openalex.org/W1877703047","https://openalex.org/W1972041461","https://openalex.org/W1972393809","https://openalex.org/W1973828689","https://openalex.org/W1977719520","https://openalex.org/W1986252988","https://openalex.org/W1992688650","https://openalex.org/W2003998314","https://openalex.org/W2009468541","https://openalex.org/W2033272253","https://openalex.org/W2035363534","https://openalex.org/W2041157860","https://openalex.org/W2057678386","https://openalex.org/W2065997029","https://openalex.org/W2074415971","https://openalex.org/W2096463463","https://openalex.org/W2102798763","https://openalex.org/W2112680994","https://openalex.org/W2123835189","https://openalex.org/W2140255783","https://openalex.org/W2164813364","https://openalex.org/W2343438443","https://openalex.org/W2725102413","https://openalex.org/W2731479783","https://openalex.org/W2753961966","https://openalex.org/W2755905518","https://openalex.org/W2963418114","https://openalex.org/W2970756942","https://openalex.org/W2996812058","https://openalex.org/W3098374147"],"related_works":["https://openalex.org/W3162425670","https://openalex.org/W4236392946","https://openalex.org/W3123922769","https://openalex.org/W3188253912","https://openalex.org/W2089156144","https://openalex.org/W2594216553","https://openalex.org/W4210815366","https://openalex.org/W1529374794","https://openalex.org/W2046837923","https://openalex.org/W2393503779"],"abstract_inverted_index":{"This":[0,87],"article":[1],"investigates":[2],"parametric":[3],"sensitivities":[4],"of":[5,12,40,70,100,118,148,191],"rioting":[6,65,179,201],"activity,":[7],"based":[8],"on":[9,188],"a":[10,20,60,74,94,98,115,124,163],"model":[11,121],"the":[13,24,35,43,47,56,81,85,119,132,145,152,158,168,175,185,189,192,196,199,204],"2005":[14],"French":[15],"riots.":[16],"Previously":[17],"validated":[18],"against":[19],"comprehensive":[21],"data":[22],"set,":[23],"aforementioned":[25],"modeling":[26],"efforts":[27],"were":[28],"multiscale":[29],"in":[30,46,64,80,84,128,151,154,166],"nature":[31],"and":[32,42,107,181,203],"applied":[33],"at":[34,55],"provincial":[36],"scale":[37,45,58],"for":[38],"all":[39],"France":[41],"municipal":[44,57],"\u00cele-de-France":[48],"region":[49],"around":[50],"Paris.":[51],"The":[52],"governing":[53],"dynamics":[54,190],"include":[59],"bandwagon":[61],"effect,":[62],"observed":[63],"activity":[66,71,180,202],"wherein":[67],"an":[68],"outburst":[69],"occurs":[72],"once":[73],"\u201ctipping":[75],"point\u201d":[76],"threshold":[77],"is":[78,91,172],"reached":[79],"people":[82],"engaging":[83],"activity.":[86],"tipping":[88,205],"point":[89,206],"mechanism":[90],"modeled":[92],"using":[93],"nonsmooth":[95,101,129],"function,":[96],"yielding":[97],"framework":[99],"ODEs,":[102],"which":[103,141],"makes":[104],"conventional":[105],"theory":[106],"methods":[108],"unsuitable.":[109],"In":[110],"this":[111],"article,":[112],"we":[113,142],"perform":[114],"sensitivity":[116],"analysis":[117,130],"municipal-scale":[120],"by":[122],"adopting":[123],"recently":[125],"developed":[126],"tool":[127],"called":[131],"lexicographic":[133],"directional":[134],"derivative.":[135],"Numerical":[136],"solutions":[137],"are":[138],"provided":[139],"from":[140,178],"can":[143],"conclude":[144],"relative":[146],"importance":[147],"different":[149],"parameters":[150],"model,":[153],"order":[155],"to":[156],"discover":[157],"underlying":[159],"mechanisms":[160],"that":[161,174],"play":[162],"crucial":[164],"role":[165],"driving":[167],"riot":[169],"activities.":[170],"It":[171],"shown":[173],"exit/removal":[176],"rate":[177],"geographic":[182],"proximity":[183],"have":[184],"greatest":[186],"impact":[187],"social":[193],"contagion.":[194],"On":[195],"other":[197],"hand,":[198],"initial":[200],"seem":[207],"less":[208],"influential.":[209]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}