{"id":"W3015409027","doi":"10.1016/j.aim.2022.108636","title":"Analytic linearization of conformal maps of the annulus","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Submanifold; Foliation (geology); Codimension; Annulus (botany); Pure mathematics; Conformal map; Corollary; Conjugate points; Rotation (mathematics); Diffeomorphism; Mathematical analysis; Operator (biology); Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007324802,0.0001223704,0.0004094368,0.00009761665,0.00006915382,0.000005773348,0.0004355337,0.00003622201,0.0002375002],"category_scores_gemma":[0.0007593029,0.00008928758,0.0001192781,0.0005349397,0.0001212477,0.0001298139,0.0002641105,0.0001932417,0.000001410885],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003956706,"about_ca_system_score_gemma":0.000039378,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002777456,"about_ca_topic_score_gemma":0.000008900073,"domain_scores_codex":[0.9982898,0.00006231559,0.0008663783,0.0001138746,0.0004961782,0.000171442],"domain_scores_gemma":[0.998103,0.0006525099,0.0006673125,0.000474337,0.00007867115,0.00002412225],"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":[0.00001172278,0.0005904064,0.0009227791,0.001419627,0.00002161059,0.000001448588,0.002059369,0.002993773,0.0002074507,0.9904945,0.00006655884,0.001210704],"study_design_scores_gemma":[0.0003120269,0.00005793144,0.00009362325,0.0001126885,0.00003680077,0.000009552202,0.001155368,0.09560428,0.0006145479,0.901118,0.0007727754,0.0001123688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.732537,0.001322665,0.1527369,0.0004772222,0.0009875252,0.003110007,0.0007066883,0.0001186943,0.1080033],"genre_scores_gemma":[0.9641474,0.0000558704,0.03496855,0.00002809662,0.00001347811,0.00004020191,0.000008842499,0.00002645865,0.0007110719],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2316104,"threshold_uncertainty_score":0.3641042,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01637348567441442,"score_gpt":0.2989461907401212,"score_spread":0.2825727050657068,"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."}}