{"id":"W2754888817","doi":"10.23952/jnva.2.2018.2.03","title":"On modulated ergodic theorems","year":2018,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Ergodic theory; Mathematics; Pure mathematics; Mathematical economics","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":[],"consensus_categories":[],"category_scores_codex":[0.0007158488,0.0001016731,0.0003120305,0.0003938691,0.00009172114,0.00002091326,0.0001063458,0.00005422486,0.0004008217],"category_scores_gemma":[0.0006244814,0.0000720282,0.0001978331,0.000543208,0.00007423182,0.0001113666,0.0000202399,0.0001427825,0.00001128216],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003474282,"about_ca_system_score_gemma":0.00003998244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002811306,"about_ca_topic_score_gemma":0.00000982314,"domain_scores_codex":[0.9989814,0.00008461619,0.0003753534,0.0001047023,0.000346676,0.0001072432],"domain_scores_gemma":[0.9983827,0.0005751673,0.0004089215,0.0001334014,0.0004195798,0.00008023582],"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":[0.0008216913,0.0007274435,0.00239923,0.00002192317,0.006732515,0.00003024926,0.0009740567,0.005498561,0.002039388,0.9773505,0.001021963,0.002382494],"study_design_scores_gemma":[0.0006483342,0.0003312044,0.006269732,0.00002207633,0.001495252,0.00002869237,0.00006108556,0.08486817,0.0002986046,0.9055348,0.0003081464,0.0001338985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6892462,0.00004949915,0.3087864,0.0007280188,0.0001055258,0.00004480823,0.00001868157,0.00001489007,0.001005913],"genre_scores_gemma":[0.9440981,0.00001708358,0.05483956,0.0001552741,0.0005541372,3.625157e-7,0.000005056217,0.0000108284,0.000319631],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2548518,"threshold_uncertainty_score":0.4388717,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01989891396333291,"score_gpt":0.3179928475799715,"score_spread":0.2980939336166386,"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."}}