{"id":"W1861414500","doi":"10.1103/physreve.79.057201","title":"Proposed central limit behavior in deterministic dynamical systems","year":2009,"lang":"en","type":"article","venue":"Physical Review E","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":28,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Central limit theorem; Limit (mathematics); Statistical physics; Bifurcation; Scaling; Scaling law; Logistic map; Dynamical systems theory; Mathematics; Point (geometry); Scaling limit; Applied mathematics; Mathematical analysis; Physics; Computer science; Statistics; Nonlinear system; Quantum mechanics; Geometry; Artificial intelligence","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001033114,0.0002319474,0.0006399415,0.00002535425,0.00004154136,0.00004843648,0.0002122112,0.00002694674,0.000045583],"category_scores_gemma":[0.00001561414,0.0001776215,0.0002373896,0.0002081574,0.0000363004,0.00008611427,0.00002633661,0.0002379788,0.0001358678],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005659377,"about_ca_system_score_gemma":0.00003709882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000127272,"about_ca_topic_score_gemma":0.000003264084,"domain_scores_codex":[0.9983668,0.0001116028,0.000450811,0.000337665,0.0002484057,0.0004846902],"domain_scores_gemma":[0.9992926,0.00006536717,0.0001163564,0.0002894958,0.00003057849,0.0002056601],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005960454,0.006706695,0.04259283,0.002206957,0.0000638791,0.0001237013,0.0002045334,0.0001555282,0.00548307,0.7459359,0.0007525823,0.1957147],"study_design_scores_gemma":[0.004289531,0.002322337,0.3656511,0.01657184,0.001031694,0.00003571016,0.0001850241,0.5470684,0.0002079047,0.04065152,0.01792667,0.004058254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9886454,0.002255228,0.0008917541,0.0003714327,0.0002843145,0.001768921,0.00004574427,0.00006911442,0.00566813],"genre_scores_gemma":[0.9991437,0.00007252448,0.00001961113,0.0001129064,0.0004351246,0.00008808335,0.00004112922,0.00001509337,0.00007181935],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7052844,"threshold_uncertainty_score":0.7243196,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01423906186184877,"score_gpt":0.2980410787696502,"score_spread":0.2838020169078014,"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."}}