{"id":"W2172287576","doi":"10.1214/10-aap753","title":"Weak disorder asymptotics in the stochastic mean-field model of distance","year":2012,"lang":"en","type":"article","venue":"The Annals of Applied Probability","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; National Science Foundation","keywords":"Central limit theorem; Independent and identically distributed random variables; Limit (mathematics); Random variable; Context (archaeology); Large deviations theory; Exponential function; Path (computing); Asymptotic distribution; Limiting","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002494677,0.0006441262,0.001573972,0.002675049,0.001124123,0.001988475,0.002304415,0.001678223,0.003679065],"category_scores_gemma":[0.01421019,0.0005373486,0.001187457,0.0009332982,0.004147002,0.00432266,0.001816717,0.002076222,0.0004912349],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003282169,"about_ca_system_score_gemma":0.001153655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009030046,"about_ca_topic_score_gemma":0.004528096,"domain_scores_codex":[0.9991007,0.0002729541,0.00003273555,0.0001666614,0.0002352819,0.0001916899],"domain_scores_gemma":[0.9927598,0.004435088,0.000958526,0.0004324529,0.0007369916,0.0006771857],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004935639,0.00004223093,0.001105081,0.00008019238,0.00002713516,0.0001457584,0.0002186947,0.06470667,0.001435876,0.9286242,0.001314264,0.002250604],"study_design_scores_gemma":[0.00003804672,0.00002790367,0.0006165832,0.00002675624,0.00001295999,0.00007178276,0.00006664632,0.507242,0.0002757368,0.4906833,0.0009013627,0.0000368599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.554521,0.003301924,0.401163,0.006444157,0.0002307586,0.0001156977,0.0004929041,0.001016721,0.03271397],"genre_scores_gemma":[0.9755225,0.001001389,0.01400878,0.0004632173,0.0002127348,0.0001416096,0.0002131157,0.0001539881,0.008282716],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009030046,"threshold_uncertainty_score":0.02381396,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1238435989859288,"score_gpt":0.348910887914722,"score_spread":0.2250672889287931,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}