{"id":"W2035323563","doi":"10.1090/s0002-9939-09-10164-8","title":"The ergodicity of weak Hilbert spaces","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ergodicity; Mathematics; Hilbert space; Pure mathematics; Rigged Hilbert space; Reproducing kernel Hilbert space; Statistics","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":[0.001449202,0.000436655,0.0005737443,0.001351265,0.001300188,0.002117824,0.0007170472,0.0004251524,0.00395241],"category_scores_gemma":[0.006515912,0.0002432892,0.0009020487,0.0005718387,0.003681509,0.003356221,0.002794559,0.001483916,0.0004278219],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001917526,"about_ca_system_score_gemma":0.0009421482,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002386341,"about_ca_topic_score_gemma":0.001473316,"domain_scores_codex":[0.9984406,0.0004531497,0.00007415251,0.0002761882,0.0004525857,0.000303481],"domain_scores_gemma":[0.9960204,0.001550095,0.0004187361,0.0005350675,0.0008901507,0.0005855122],"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":[0.00003236661,0.00001139912,0.0006510933,0.00003280243,0.00001333493,0.00005005028,0.0002569449,0.002166925,0.00166454,0.9911801,0.000420206,0.003520309],"study_design_scores_gemma":[0.00001213568,0.00005729673,0.00155554,0.00001712721,0.00001475116,0.0001168358,0.0001935624,0.02786081,0.002408075,0.9631429,0.004596285,0.00002470059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6672195,0.001697373,0.2566966,0.001879219,0.00016779,0.00003878218,0.0003175997,0.0003230429,0.07165996],"genre_scores_gemma":[0.9829829,0.0003592907,0.005084358,0.0001394044,0.0001563356,0.00003460817,0.0001547462,0.00007371094,0.0110146],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00395241,"threshold_uncertainty_score":0.01391268,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01457617542518153,"score_gpt":0.2898283595317621,"score_spread":0.2752521841065806,"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."}}