{"id":"W2962755527","doi":"10.4171/jems/869","title":"The Dynamical Manin–Mumford Conjecture and the Dynamical Bogomolov Conjecture for split rational maps","year":2019,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Conjecture; Pure mathematics; Dynamical systems theory; Collatz conjecture; Algebra over a field","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":[0.00604648,0.0003837213,0.0007882736,0.00001936293,0.0006014238,0.0003489839,0.00118432,0.0001781888,0.0001233888],"category_scores_gemma":[0.002401032,0.0001516601,0.001276645,0.0001489094,0.0008694148,0.0001153969,0.0004334702,0.001096195,0.00003801403],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009848414,"about_ca_system_score_gemma":0.00007403412,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.178254e-7,"about_ca_topic_score_gemma":0.000001800472,"domain_scores_codex":[0.9963666,0.0007049596,0.001318215,0.0002680421,0.0008524616,0.0004897879],"domain_scores_gemma":[0.9895817,0.008358508,0.0009613953,0.0006979085,0.0002240715,0.0001764322],"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":[0.000135784,0.0001405163,0.00003045257,0.0003534146,0.0003541779,0.000003821054,0.000856339,0.00001710455,0.0001141216,0.9872863,0.01011516,0.0005928348],"study_design_scores_gemma":[0.002615276,0.0001216271,0.0002037577,0.0002154228,0.0002921904,0.0005486129,0.0005047473,0.05351454,0.00001253916,0.9370909,0.004653914,0.0002265259],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.600266,0.0008394438,0.2723851,0.08508109,0.001971032,0.006522904,0.0002670295,0.000143276,0.03252408],"genre_scores_gemma":[0.9348188,0.0001299457,0.05339079,0.001982475,0.001121279,0.0000338463,0.00001005289,0.0002258067,0.008287],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3345528,"threshold_uncertainty_score":0.6184519,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01222979876301424,"score_gpt":0.2553818136502533,"score_spread":0.2431520148872391,"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."}}