{"id":"W2616421739","doi":"10.1112/s0010437x18007157","title":"The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of ","year":2018,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary; University of British Columbia","funders":"","keywords":"Endomorphism; Conjecture; Dynamical systems theory; Algebraic number; Dynamical system (definition); Algebraic cycle; Homogeneous space","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":[0.000369354,0.0003506968,0.0003261179,0.0008857636,0.001257816,0.001300564,0.0005359943,0.0005210603,0.003123714],"category_scores_gemma":[0.001358891,0.0001828915,0.0005911557,0.0002762421,0.001677151,0.002022197,0.001384366,0.0009054116,0.0002489632],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009335223,"about_ca_system_score_gemma":0.0003407836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008076355,"about_ca_topic_score_gemma":0.0005013496,"domain_scores_codex":[0.9997216,0.00003571824,0.00001183192,0.0000593698,0.00009600081,0.0000754525],"domain_scores_gemma":[0.9995494,0.000116179,0.00008070871,0.00006713895,0.00007681935,0.0001096674],"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":[0.00001641347,0.000008833629,0.0003347028,0.00001041091,0.000002643718,0.00007047403,0.0001102522,0.0006308182,0.001676069,0.9950117,0.0002848083,0.001843072],"study_design_scores_gemma":[0.00002530911,0.00003617764,0.0008484447,0.0000105664,0.000006418471,0.0002439653,0.0001434296,0.01612862,0.003200678,0.974887,0.004453659,0.00001578243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8701869,0.0004002283,0.0756537,0.001175204,0.0002180185,0.00003563707,0.0000832945,0.0001025021,0.05214443],"genre_scores_gemma":[0.9887527,0.0001019121,0.005229237,0.00008554116,0.00008488738,0.00002456186,0.00004155634,0.00001919991,0.005660266],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003123714,"threshold_uncertainty_score":0.01044983,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01838493787151042,"score_gpt":0.2941066595163877,"score_spread":0.2757217216448773,"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."}}