{"id":"W4367623547","doi":"10.2140/gt.2025.29.4531","title":"Endperiodic maps, splitting sequences, and branched surfaces","year":2025,"lang":"en","type":"preprint","venue":"Geometry & Topology","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Mathematisches Forschungsinstitut Oberwolfach; National Science Foundation","keywords":"Mathematics; Surface (topology); Foliation (geology); Pure mathematics; Manifold (fluid mechanics); Equivalence relation; Generalization; Triangulation; Flow (mathematics); Equivalence (formal languages); Sequence (biology); Geometry; Combinatorics; Mathematical analysis; Geology; Paleontology","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009550955,0.0004363339,0.00112046,0.0003490876,0.0001502512,0.0001166746,0.0004790967,0.0008018292,0.001096981],"category_scores_gemma":[0.0018264,0.0003995699,0.0001735137,0.0002504543,0.0004013522,0.00003983736,0.001332267,0.0009212423,0.00003031967],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006798348,"about_ca_system_score_gemma":0.0001488167,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002206722,"about_ca_topic_score_gemma":0.00006462775,"domain_scores_codex":[0.9975418,0.000169647,0.0007721107,0.0007399279,0.0002326845,0.0005438058],"domain_scores_gemma":[0.9966565,0.001971058,0.0003903028,0.0007542199,0.00009427343,0.0001336164],"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":[0.00003073016,0.000259067,0.004930584,0.00857005,0.0005624011,0.00008609548,0.001274055,0.00004320825,0.0003540714,0.9675946,0.00210324,0.01419185],"study_design_scores_gemma":[0.0002597831,0.00004189814,0.0003548063,0.0003546178,0.0001549704,0.00004317764,0.0002093403,0.002448011,0.000115307,0.9914814,0.004075644,0.0004610359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9604214,0.003799208,0.009908399,0.002280833,0.001589759,0.0009911502,0.0005104948,0.0002629719,0.02023574],"genre_scores_gemma":[0.9163799,0.001028531,0.07407289,0.0004978033,0.0003393578,0.0001724781,0.0001634914,0.00006531244,0.007280227],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0641645,"threshold_uncertainty_score":0.9998456,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03782065202331097,"score_gpt":0.3314331811439886,"score_spread":0.2936125291206776,"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."}}