{"id":"https://openalex.org/W2064401891","doi":"https://doi.org/10.1142/s0219525901000334","title":"RANDOM MULTIPLICATIVE RESPONSE FUNCTIONS IN GRANULAR CONTACT NETWORKS","display_name":"RANDOM MULTIPLICATIVE RESPONSE FUNCTIONS IN GRANULAR CONTACT NETWORKS","publication_year":2001,"publication_date":"2001-12-01","ids":{"openalex":"https://openalex.org/W2064401891","doi":"https://doi.org/10.1142/s0219525901000334","mag":"2064401891"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525901000334","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525901000334","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex 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/A5013795464","display_name":"Cristian F. Moukarzel","orcid":"https://orcid.org/0000-0002-0939-4056"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"CRISTIAN F. MOUKARZEL","raw_affiliation_strings":["CINVESTAV del IPN, Unidad M\u00e9rida, AP 73 Cordemex, 97310 M\u00e9rida, Yucat\u00e1n, Mexico"],"affiliations":[{"raw_affiliation_string":"CINVESTAV del IPN, Unidad M\u00e9rida, AP 73 Cordemex, 97310 M\u00e9rida, Yucat\u00e1n, Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013795464"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11388069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"04","issue":"04","first_page":"523","last_page":"533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10591","display_name":"Theoretical and Computational Physics","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10474","display_name":"Material Dynamics and Properties","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9659000039100647,"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/multiplicative-function","display_name":"Multiplicative function","score":0.7689886093139648},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5999164581298828},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.558256208896637},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5418499112129211},{"id":"https://openalex.org/keywords/power-law","display_name":"Power law","score":0.5290074944496155},{"id":"https://openalex.org/keywords/granular-material","display_name":"Granular material","score":0.5144327282905579},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.46220847964286804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43422114849090576},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4239724278450012},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41802671551704407},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3834690451622009},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3717251420021057},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07291668653488159}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7689886093139648},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5999164581298828},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.558256208896637},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5418499112129211},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.5290074944496155},{"id":"https://openalex.org/C32568104","wikidata":"https://www.wikidata.org/wiki/Q1155083","display_name":"Granular material","level":2,"score":0.5144327282905579},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.46220847964286804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43422114849090576},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4239724278450012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41802671551704407},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3834690451622009},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3717251420021057},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07291668653488159},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219525901000334","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525901000334","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000334","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525901000334","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:04:y:2001:i:04:p:523-533","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525901000334","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5299999713897705}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1972501654","https://openalex.org/W1974563879","https://openalex.org/W1980144709","https://openalex.org/W1981335710","https://openalex.org/W1992491578","https://openalex.org/W1995818360","https://openalex.org/W2003001801","https://openalex.org/W2003814254","https://openalex.org/W2046418672","https://openalex.org/W2058449088","https://openalex.org/W2068131754","https://openalex.org/W2089000718","https://openalex.org/W2090216453","https://openalex.org/W2090580776","https://openalex.org/W2131899765"],"related_works":["https://openalex.org/W4318195686","https://openalex.org/W2975999359","https://openalex.org/W4287173569","https://openalex.org/W2796561647","https://openalex.org/W4313513739","https://openalex.org/W3119693376","https://openalex.org/W3182422617","https://openalex.org/W2244208494","https://openalex.org/W4280497496","https://openalex.org/W2594072523"],"abstract_inverted_index":{"The":[0],"contact":[1],"network":[2],"of":[3,14],"a":[4,41,46,79,88],"frictionless":[5],"polydisperse":[6],"granular":[7],"packing":[8,65],"is":[9,19,57,87],"isostatic":[10,25],"in":[11],"the":[12,54,64,69,83],"limit":[13,86],"low":[15],"applied":[16],"pressure.":[17],"It":[18],"argued":[20],"here":[21],"that,":[22],"on":[23],"disordered":[24],"networks,":[26],"displacement\u2013displacement":[27],"and":[28,39,68],"stress\u2013stress":[29],"static":[30],"Green":[31,75],"functions":[32,76],"are":[33,62],"described":[34],"by":[35],"random":[36],"multiplicative":[37],"processes":[38],"have":[40,78],"truncated":[42],"power-law":[43],"distribution,":[44],"with":[45,51],"cut-off":[47],"that":[48],"grows":[49],"exponentially":[50],"distance.":[52],"If":[53],"external":[55],"pressure":[56],"increased":[58],"sufficiently,":[59],"excess":[60],"contacts":[61],"created,":[63],"becomes":[66],"hyperstatic,":[67],"abovementioned":[70],"anomalous":[71],"properties":[72],"disappear":[73],"because":[74],"now":[77],"bounded":[80],"distribution.":[81],"Thus,":[82],"low-pressure,":[84],"isostatic,":[85],"critical":[89],"point.":[90]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}