{"id":"W4406384352","doi":"10.4153/s0008439524000778","title":"Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mathematics; Eigenvalues and eigenvectors; Type (biology); Pure mathematics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006857646,0.0003042786,0.0006986384,0.000312768,0.0001485931,0.00005521122,0.0003123014,0.0001598135,0.001425409],"category_scores_gemma":[0.004027888,0.0002509994,0.0001185089,0.0006301309,0.0003542272,0.00004754946,0.00004074014,0.0002039743,0.0001614223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002026281,"about_ca_system_score_gemma":0.0003355222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001017368,"about_ca_topic_score_gemma":0.0003398206,"domain_scores_codex":[0.9980743,0.00008571881,0.0006414709,0.0003598559,0.0002880681,0.0005505847],"domain_scores_gemma":[0.9958087,0.002832122,0.0001628242,0.0005410206,0.0003033176,0.0003520773],"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":[0.00004884914,0.0001081182,0.00006859005,0.001415338,0.0001221792,0.000004656458,0.0001809244,0.000003271175,0.0002029612,0.9852931,0.01239398,0.0001580324],"study_design_scores_gemma":[0.0005453754,0.0002071479,0.0000517912,0.0004656294,0.0002196031,0.00001251752,0.0003381318,0.0005248406,0.00248625,0.9914726,0.003399143,0.0002769806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5967022,0.001146592,0.2252504,0.01105298,0.0003605784,0.006817222,0.0002574475,0.0003607917,0.1580518],"genre_scores_gemma":[0.7725207,0.00003098659,0.2211452,0.0005588265,0.0001183917,0.0001245904,0.00001298137,0.0000996357,0.00538864],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1758186,"threshold_uncertainty_score":0.9999942,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02406655307198595,"score_gpt":0.2869047912037528,"score_spread":0.2628382381317669,"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."}}