{"id":"W2090080993","doi":"10.1007/s00208-010-0621-4","title":"A case of the dynamical Mordell–Lang conjecture","year":2010,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Conjecture; Rational function; Combinatorics; Diagonal; Algebraic number; Pure mathematics; Invariant (physics); Discrete mathematics; Mathematical analysis; Mathematical physics; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006426445,0.0001824878,0.0003021624,0.00007189753,0.0001250481,0.00001794358,0.0003949212,0.0001749514,0.001067692],"category_scores_gemma":[0.0007175098,0.0001128405,0.0001924132,0.0003199434,0.0002057042,0.00007190526,0.0001727014,0.0005202258,0.00006287314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005705213,"about_ca_system_score_gemma":0.00003237493,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001200535,"about_ca_topic_score_gemma":0.00004715348,"domain_scores_codex":[0.9989206,0.00008983108,0.0003484741,0.0001919209,0.0002115986,0.0002375311],"domain_scores_gemma":[0.9982796,0.0005708057,0.0002188134,0.0007910347,0.00006792307,0.00007179709],"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":[0.00001822526,0.0002553569,0.0004433319,0.0004148624,0.000121542,0.0002355195,0.002648401,0.000001372067,0.006551941,0.9828502,0.004900164,0.001559084],"study_design_scores_gemma":[0.0004418807,0.00003803624,0.0001758913,0.00008457342,0.0001211113,0.007841994,0.0005326748,0.0005618126,0.0165608,0.9715891,0.001783589,0.0002684688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.983444,0.00003309799,0.001514078,0.0004509711,0.0002035071,0.0002705705,0.00002724951,0.00006403834,0.01399245],"genre_scores_gemma":[0.9896638,0.000001237012,0.006993781,0.00008905675,0.00009202769,0.00001596088,0.000001542686,0.00003079533,0.003111797],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01126103,"threshold_uncertainty_score":0.9998454,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02520003107966568,"score_gpt":0.2908797086043796,"score_spread":0.2656796775247139,"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."}}