{"id":"W1970520779","doi":"10.4153/cmb-2012-026-9","title":"On the Continuity of the Eigenvalues of a Sublaplacian","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Pure mathematics; Manifold (fluid mechanics); Metric (unit); Set (abstract data type); Topology (electrical circuits); Combinatorics","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001492886,0.000142334,0.0003075429,0.00004277941,0.0001152052,0.000009862774,0.0004509098,0.000103223,0.01046862],"category_scores_gemma":[0.002986634,0.00007331088,0.0001517783,0.0001323329,0.0004076908,0.00001393558,0.00004649908,0.00020855,0.000874671],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000557686,"about_ca_system_score_gemma":0.0001197554,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002470883,"about_ca_topic_score_gemma":0.0003710382,"domain_scores_codex":[0.9986155,0.0002568944,0.0003778952,0.00009868279,0.0002728301,0.0003781925],"domain_scores_gemma":[0.9973339,0.001570306,0.0001436926,0.0006314253,0.0000727876,0.0002478161],"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":[0.000005265122,0.00007658578,0.000279082,0.00007483133,0.0000250319,8.037871e-7,0.001601157,1.594795e-7,0.00008372534,0.9813414,0.01644008,0.00007187159],"study_design_scores_gemma":[0.0003337173,0.00006887702,0.001172557,0.000386226,0.0001099805,0.00002087423,0.001610072,0.00002295584,0.0097711,0.9474561,0.03877465,0.0002728589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9208612,0.00005772794,0.0001399313,0.003202119,0.00009000445,0.0004423639,0.00004696417,0.00001335377,0.07514631],"genre_scores_gemma":[0.9971823,0.00000114302,0.0002981289,0.0007103375,0.00004605391,0.000017458,4.962497e-7,0.00002207659,0.001722056],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07632102,"threshold_uncertainty_score":0.9999033,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03406413336467558,"score_gpt":0.2546203934463022,"score_spread":0.2205562600816266,"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."}}