{"id":"W3010022754","doi":"10.1007/s00208-020-02062-w","title":"Height gap conjectures, D-finiteness, and a weak dynamical Mordell–Lang conjecture","year":2020,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Algebraic number; Dynamical systems theory; Orbit (dynamics); Sequence (biology); Periodic point; Limit point; Series (stratigraphy)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001334836,0.0004640721,0.0006508587,0.001445029,0.002045183,0.002998567,0.001029433,0.001661937,0.005732937],"category_scores_gemma":[0.005176608,0.0003188538,0.0007671714,0.0007166711,0.004960534,0.006144102,0.003766083,0.002481051,0.0004040207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001480624,"about_ca_system_score_gemma":0.0005654339,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001172556,"about_ca_topic_score_gemma":0.0006285608,"domain_scores_codex":[0.999496,0.00009464705,0.00002714147,0.0001269365,0.0001290266,0.000126246],"domain_scores_gemma":[0.9972925,0.001422921,0.0002409415,0.000348979,0.0002349302,0.000459773],"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":[0.00001523252,0.000006731381,0.0002668804,0.00001469358,0.000002516235,0.00003298726,0.00009879408,0.0004453778,0.000264647,0.997152,0.0006262665,0.001073871],"study_design_scores_gemma":[0.00001189934,0.000006114583,0.0002216531,0.000007321548,0.000002735597,0.00003908341,0.00006441067,0.002815346,0.0002179663,0.9955252,0.001082285,0.000005971458],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7358586,0.003458454,0.1040244,0.01742761,0.0007904232,0.00003683299,0.0005042556,0.0004251681,0.1374742],"genre_scores_gemma":[0.9865606,0.0004736614,0.00536796,0.0008050647,0.0003484185,0.00003438838,0.0001597036,0.00003808676,0.00621216],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005732937,"threshold_uncertainty_score":0.01917857,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08495316255148094,"score_gpt":0.3060297121712421,"score_spread":0.2210765496197612,"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."}}