{"id":"W3193430315","doi":"10.1017/s0305004123000270","title":"Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic","year":2023,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Mathematics; Orbit (dynamics); Pure mathematics; Engineering","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002164908,0.0003552717,0.0009352276,0.00009152136,0.000167566,0.0000316174,0.0006765829,0.0003908766,0.00001566805],"category_scores_gemma":[0.002499174,0.0002641786,0.00070046,0.00110269,0.0005084814,0.0001548768,0.0004377807,0.0005083097,0.00001787501],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001077022,"about_ca_system_score_gemma":0.0000506959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001909501,"about_ca_topic_score_gemma":5.062196e-8,"domain_scores_codex":[0.9972778,0.00003510547,0.00104171,0.0004354691,0.0006560152,0.0005538941],"domain_scores_gemma":[0.9968855,0.001700673,0.0005470352,0.0003137527,0.0004159018,0.000137096],"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":[0.0001131795,0.0005394658,0.0002483885,0.004294874,0.0002079533,0.000001179656,0.002552253,7.468554e-7,0.003616507,0.9824903,0.005905696,0.00002946936],"study_design_scores_gemma":[0.0007900025,0.0001261555,0.0008169092,0.0005740401,0.0002162172,0.00001818342,0.000536508,0.001932241,0.008611353,0.986042,0.00005804208,0.0002783994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9892314,0.00002430905,0.0004474222,0.006147259,0.0001018916,0.001329978,0.0001834234,0.000250975,0.002283353],"genre_scores_gemma":[0.988742,0.00001579951,0.01026413,0.0001702932,0.0001532056,0.0001261148,0.00001250178,0.0000728098,0.0004431605],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009816713,"threshold_uncertainty_score":0.999981,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02574134620142995,"score_gpt":0.2695160239701965,"score_spread":0.2437746777687665,"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."}}