{"id":"W190509557","doi":"10.1016/j.aim.2016.08.034","title":"Interacting particle systems at the edge of multilevel Dyson Brownian motions","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"National Science Foundation of Sri Lanka; M.S.I. Foundation","keywords":"Brownian motion; Statistical physics; Particle system; Decoupling (probability); Limit (mathematics); Physics; Context (archaeology); Limiting; Classical mechanics; Mathematics; Mathematical analysis; Computer science; Quantum mechanics","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":[0.001023254,0.0005829812,0.001508087,0.001445016,0.0015904,0.003775048,0.001792295,0.003009486,0.00753882],"category_scores_gemma":[0.003797815,0.0005930027,0.00095672,0.0004275748,0.002843666,0.003453971,0.003393641,0.002865173,0.0007813676],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001253251,"about_ca_system_score_gemma":0.0006581013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001486335,"about_ca_topic_score_gemma":0.001109241,"domain_scores_codex":[0.9993713,0.0002142871,0.00002230415,0.00008130736,0.0001692152,0.0001415716],"domain_scores_gemma":[0.9982822,0.000604262,0.0002064828,0.0001848762,0.0002119333,0.00051025],"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":[0.00003954846,0.00002606138,0.0002887238,0.00002281728,0.00001405496,0.000105654,0.00008900136,0.01180519,0.0008457036,0.9844379,0.001099681,0.001225792],"study_design_scores_gemma":[0.00003457897,0.00002689184,0.0005490452,0.00002085354,0.00001179152,0.00008171339,0.00007610701,0.3010324,0.0002295547,0.6966559,0.001251011,0.00003016239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.649187,0.002173113,0.2428635,0.006317786,0.0009867856,0.0001143273,0.0003043354,0.0005648884,0.09748816],"genre_scores_gemma":[0.9671249,0.0004692807,0.01616191,0.0007127347,0.000410425,0.00009096116,0.0001341002,0.0001333002,0.0147623],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00753882,"threshold_uncertainty_score":0.02521986,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05922294586220622,"score_gpt":0.3705602468319965,"score_spread":0.3113373009697903,"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."}}