{"id":"W4387093061","doi":"10.1090/bproc/188","title":"Dynamically improper hypersurfaces for endomorphisms of projective space","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Endomorphism; Hypersurface; Generalization; Mathematics; Pure mathematics; Projective test; Projective space; Space (punctuation); Point (geometry); Mathematical analysis; Computer science; 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":[],"consensus_categories":[],"category_scores_codex":[0.0004111259,0.0002091584,0.000704918,0.00002987963,0.000141763,0.00002347047,0.0004094182,0.00006181998,0.00001304238],"category_scores_gemma":[0.001382937,0.0001295331,0.0005106671,0.0007893178,0.0009197865,0.0001553263,0.000226056,0.0001243811,0.000004186665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005599393,"about_ca_system_score_gemma":0.00003301385,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001530003,"about_ca_topic_score_gemma":0.000001238055,"domain_scores_codex":[0.998413,0.00001183245,0.0005619848,0.0002576331,0.0004246963,0.0003308845],"domain_scores_gemma":[0.997853,0.0006745326,0.0007875758,0.0001788184,0.0004417661,0.00006434852],"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":[0.0002305536,0.0003335615,0.0004775551,0.002905178,0.0003485742,7.284312e-8,0.003619617,0.00002144735,0.1906845,0.7984409,0.00225171,0.0006862624],"study_design_scores_gemma":[0.0005234076,0.0005045378,0.000483841,0.0002906682,0.0002028423,0.000006240263,0.0155254,0.02037459,0.02460358,0.9369631,0.0001934996,0.0003282645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9768578,0.000008042406,0.01904763,0.00115503,0.00005723392,0.001365856,0.00007970845,0.0001541909,0.001274504],"genre_scores_gemma":[0.8628043,0.00001861789,0.1352444,0.00002694026,0.00004172105,0.000224497,0.000002822172,0.00005419649,0.00158254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.166081,"threshold_uncertainty_score":0.5282207,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02646931286239375,"score_gpt":0.2948895420638931,"score_spread":0.2684202292014994,"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."}}