{"id":"W4385462989","doi":"10.1016/j.matpur.2023.07.009","title":"Holomorphic motions, dimension, area and quasiconformal mappings","year":2023,"lang":"fr","type":"article","venue":"Journal de Mathématiques Pures et Appliquées","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; National Science Foundation","keywords":"Hausdorff dimension; Dimension (graph theory); Mathematics; Holomorphic function; Dimension function; Minkowski space; Packing dimension; Pure mathematics; Minkowski–Bouligand dimension; Mathematical analysis; Geometry; Fractal dimension; Fractal","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001454383,0.0006978395,0.000740693,0.003301823,0.001012201,0.003156604,0.0005397592,0.0009596477,0.003107154],"category_scores_gemma":[0.005578846,0.0003844665,0.0003745143,0.001498995,0.003426507,0.00464139,0.001186121,0.001297533,0.0002102406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009646446,"about_ca_system_score_gemma":0.0003292688,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009187589,"about_ca_topic_score_gemma":0.0004582524,"domain_scores_codex":[0.9995951,0.0001421966,0.00002303249,0.0001110329,0.00008289667,0.00004577269],"domain_scores_gemma":[0.9959717,0.002363761,0.0006500332,0.0002406219,0.0002906031,0.0004831182],"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":[0.0000851084,0.00003537568,0.002024818,0.00004442164,0.00001763708,0.0000983044,0.0003784297,0.003369481,0.001917111,0.984921,0.0007035768,0.006404805],"study_design_scores_gemma":[0.00002297468,0.00004865108,0.003364675,0.00001553021,0.00001412011,0.0002364621,0.0002189653,0.01735502,0.0003213312,0.9764013,0.00198146,0.00001951666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9196051,0.006281959,0.03964075,0.002366223,0.0002859668,0.00001989796,0.0001812223,0.00006941205,0.03154944],"genre_scores_gemma":[0.9864158,0.00196746,0.004733118,0.00008869367,0.0006046523,0.00001923668,0.00009511739,0.00002082851,0.00605502],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003301823,"threshold_uncertainty_score":0.01039451,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03486975127250089,"score_gpt":0.3121412854803808,"score_spread":0.27727153420788,"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."}}