{"id":"https://openalex.org/W7221532685","doi":"https://doi.org/10.48550/arxiv.2610.13884","title":"Interacting Stochastic Systems with Agent-Based Sampling and Connection-Based Reinforcement","display_name":"Interacting Stochastic Systems with Agent-Based Sampling and Connection-Based Reinforcement","publication_year":2026,"publication_date":"2026-10-09","ids":{"openalex":"https://openalex.org/W7221532685","doi":"https://doi.org/10.48550/arxiv.2610.13884"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.13884","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13884","pdf_url":"https://arxiv.org/pdf/2610.13884","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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.13884","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102746500","display_name":"Yogesh Dahiya","orcid":"https://orcid.org/0000-0001-7338-1762","observed_orcids":["https://orcid.org/0000-0001-7338-1762"]},"institutions":[{"id":"https://openalex.org/I165916956","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I165916956"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Dahiya, Yogesh","raw_affiliation_strings":["Indian Institute of Science Education and Research Mohali (IISERM) , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research Mohali (IISERM) , India","institution_ids":["https://openalex.org/I165916956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063467309","display_name":"Gursharn Kaur","orcid":"https://orcid.org/0000-0002-0900-0600","observed_orcids":["https://orcid.org/0000-0002-0900-0600"]},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kaur, Gursharn","raw_affiliation_strings":["Biocomplexity Institute , University of Virginia , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biocomplexity Institute , University of Virginia , USA","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053645221","display_name":"Neeraja Sahasrabudhe","orcid":"https://orcid.org/0000-0003-1259-7548","observed_orcids":["https://orcid.org/0000-0003-1259-7548"]},"institutions":[{"id":"https://openalex.org/I165916956","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I165916956"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sahasrabudhe, Neeraja","raw_affiliation_strings":["Indian Institute of Science Education and Research Mohali (IISERM) , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research Mohali (IISERM) , India","institution_ids":["https://openalex.org/I165916956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.0044999998062849045,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.0032999999821186066,"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/preferential-sampling","display_name":"preferential sampling","score":0.9079999923706055},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"stochastic approximation","score":0.6809999942779541},{"id":"https://openalex.org/keywords/almost-sure-convergence","display_name":"almost sure convergence","score":0.9800000190734863},{"id":"https://openalex.org/keywords/odd-cycles","display_name":"odd cycles","score":0.847000002861023},{"id":"https://openalex.org/keywords/partial-synchronization","display_name":"partial synchronization","score":0.8270000219345093},{"id":"https://openalex.org/keywords/law-of-the-iterated-logarithm","display_name":"law of the iterated logarithm","score":0.9210000038146973},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"central limit theorem","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6363999843597412},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6190000176429749},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5447999835014343},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5277000069618225},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.524399995803833},{"id":"https://openalex.org/C139907963","wikidata":"https://www.wikidata.org/wiki/Q198740","display_name":"Law of the iterated logarithm","level":3,"score":0.47620001435279846},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.46639999747276306},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.46239998936653137},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45890000462532043},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.43549999594688416},{"id":"https://openalex.org/C130594498","wikidata":"https://www.wikidata.org/wiki/Q2028293","display_name":"Iterated logarithm","level":3,"score":0.4300000071525574},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.4203000068664551},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.4163999855518341},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.40130001306533813},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3995000123977661},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3693999946117401},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.33059999346733093},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.3280999958515167},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.3003999888896942},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.2750999927520752},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C116930293","wikidata":"https://www.wikidata.org/wiki/Q5265717","display_name":"Deterministic system (philosophy)","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.25699999928474426}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.13884","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13884","pdf_url":"https://arxiv.org/pdf/2610.13884","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.13884","doi":"https://doi.org/10.48550/arxiv.2610.13884","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.13884","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.13884","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13884","pdf_url":"https://arxiv.org/pdf/2610.13884","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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221532685.pdf","grobid_xml":"https://content.openalex.org/works/W7221532685.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4407081319","https://openalex.org/W4416259477","https://openalex.org/W2506299241","https://openalex.org/W2613272697","https://openalex.org/W6886114703","https://openalex.org/W4400391973","https://openalex.org/W7099172020","https://openalex.org/W2147279490","https://openalex.org/W7204205890","https://openalex.org/W4287755279"],"abstract_inverted_index":{"We":[0,65,79],"introduce":[1],"a":[2,12,23,33,70,88,123,133,140],"general":[3],"class":[4],"of":[5,135],"interacting":[6,157],"reinforced":[7],"stochastic":[8,71],"systems":[9],"evolving":[10],"on":[11],"network.":[13],"The":[14],"dynamics":[15,68],"are":[16,57],"governed":[17],"by":[18],"two":[19],"distinct":[20],"interaction":[21],"structures:":[22],"sampling":[24,94],"network,":[25,35],"which":[26,36],"determines":[27,37],"how":[28,38,153],"information":[29,41],"is":[30],"acquired,":[31],"and":[32,74,95,107,119,139,147,166],"reinforcement":[34,63,96],"the":[39,67,93,127,136,154],"sampled":[40],"influences":[42],"future":[43],"evolution.":[44],"Processes":[45],"generate":[46],"Bernoulli":[47],"observations":[48,56],"through":[49,59],"preferential,":[50],"de-preferential,":[51],"or":[52],"mixed":[53],"sampling,":[54],"while":[55],"transmitted":[58],"an":[60],"edge-dependent":[61,161],"affine":[62],"mechanism.":[64],"formulate":[66],"as":[69],"approximation":[72],"scheme":[73],"study":[75],"their":[76],"asymptotic":[77],"behaviour.":[78],"establish":[80,115],"sufficient":[81],"conditions":[82],"for":[83],"almost":[84,116],"sure":[85,117],"convergence":[86,118],"to":[87],"deterministic":[89,128],"limit":[90,142],"and,":[91],"when":[92],"graphs":[97],"coincide,":[98],"derive":[99],"graph-theoretic":[100],"criteria":[101],"involving":[102],"odd":[103],"cycles,":[104],"mixed-sampling":[105],"vertices,":[106],"subcritical":[108],"reinforcement.":[109],"Under":[110],"additional":[111],"structural":[112],"assumptions,":[113],"we":[114,130,151],"partial":[120],"synchronization":[121],"in":[122],"random-limit":[124],"regime.":[125],"In":[126],"regime,":[129],"also":[131],"prove":[132],"law":[134],"iterated":[137],"logarithm":[138],"central":[141],"theorem":[143],"under":[144],"suitable":[145],"spectral":[146],"regularity":[148],"conditions.":[149],"Finally,":[150],"show":[152],"framework":[155],"encompasses":[156],"urn":[158],"models":[159],"with":[160,164,169],"reinforcement,":[162],"urns":[163],"memory,":[165],"random":[167],"walks":[168],"memory.":[170]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-10-13T00:00:00"}