{"id":"W2903239516","doi":"10.1142/s0219199719500287","title":"The nonlocal mean-field equation on an interval","year":2019,"lang":"en","type":"preprint","venue":"Communications in Contemporary Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Interval (graph theory); Dirichlet boundary condition; Order (exchange); Mathematical physics; Blowing up; Mean field theory; Mathematical analysis; Field (mathematics); Dirichlet distribution; Boundary (topology); Boundary value problem; Pure mathematics; Physics; Combinatorics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008043683,0.0006812133,0.001107724,0.001331209,0.0007863344,0.001588788,0.001369286,0.001924651,0.004369319],"category_scores_gemma":[0.002517355,0.0002252125,0.0006780987,0.0007212627,0.001747511,0.002676446,0.001512187,0.001503575,0.0003430417],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00106703,"about_ca_system_score_gemma":0.0006554605,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001896989,"about_ca_topic_score_gemma":0.0009255607,"domain_scores_codex":[0.9997742,0.00005612745,0.000008718416,0.00005200742,0.00006191277,0.00004712682],"domain_scores_gemma":[0.9994717,0.0002067951,0.00008666112,0.0000344326,0.00008950665,0.000110911],"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":[0.0001052375,0.00005849658,0.0005799768,0.0001896848,0.00003129586,0.0006894629,0.0002131299,0.04345657,0.007072541,0.9396781,0.001479288,0.006446224],"study_design_scores_gemma":[0.00007412613,0.00008472278,0.0007832695,0.00006148537,0.00003320698,0.000401679,0.0001324013,0.5775136,0.00172146,0.4157673,0.003367548,0.00005936524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5809755,0.005423808,0.3347108,0.004854814,0.001560609,0.00006630115,0.0002325148,0.0001919552,0.07198377],"genre_scores_gemma":[0.9426967,0.001787006,0.02589995,0.0003786476,0.0005934067,0.00006063332,0.000163374,0.00007148536,0.02834889],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004369319,"threshold_uncertainty_score":0.01461685,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1871203011572448,"score_gpt":0.3678830756692724,"score_spread":0.1807627745120277,"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."}}