{"id":"W2023523124","doi":"10.1090/s0894-0347-07-00583-8","title":"Hausdorff dimension and conformal measures of Feigenbaum Julia sets","year":2007,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Institut Henri Poincaré; University of Toronto; State University of New York; John Simon Guggenheim Memorial Foundation; National Science Foundation","keywords":"Julia set; Hausdorff dimension; Mathematics; Conformal map; Dimension (graph theory); Exponent; Combinatorics; Scaling; Hausdorff space; Hausdorff measure; Mathematical analysis; Geometry","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":[0.0008616709,0.0005197547,0.0006258514,0.003055862,0.001860354,0.003276843,0.0007205321,0.0006905681,0.004292665],"category_scores_gemma":[0.005820788,0.0003014165,0.0006748713,0.0009734106,0.002681548,0.002506339,0.001711161,0.001264895,0.0003395424],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002001951,"about_ca_system_score_gemma":0.0004088273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001084596,"about_ca_topic_score_gemma":0.000855526,"domain_scores_codex":[0.9994009,0.00007741264,0.00003274539,0.0001475813,0.0001790092,0.0001622741],"domain_scores_gemma":[0.9970083,0.00142328,0.0004643811,0.00024034,0.000357513,0.0005063253],"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":[0.00002195131,0.00001199577,0.001811145,0.00001981294,0.00001293625,0.0001204185,0.0002605521,0.001477869,0.001123013,0.9924365,0.0004546246,0.002249206],"study_design_scores_gemma":[0.00001548641,0.00002942776,0.003324855,0.0000238725,0.00001852006,0.0003017497,0.0002655426,0.02340555,0.001994051,0.9681346,0.002456274,0.00002996382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9283615,0.000670685,0.03799138,0.000632124,0.00008434611,0.00001971065,0.0001550049,0.00009357764,0.03199159],"genre_scores_gemma":[0.9927617,0.0001910425,0.004324769,0.00005019554,0.00007341417,0.0000190047,0.00008293542,0.00002308036,0.002473888],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004292665,"threshold_uncertainty_score":0.01452529,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03584296976449792,"score_gpt":0.3175662412980561,"score_spread":0.2817232715335582,"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."}}