{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001684648,0.0006332075,0.0005859514,0.001727134,0.000895355,0.001537452,0.0008031609,0.0008807824,0.005265006],"category_scores_gemma":[0.005164535,0.0002011219,0.0007949448,0.0008638794,0.001689687,0.00297707,0.002248694,0.001665802,0.0006352627],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001326137,"about_ca_system_score_gemma":0.000499677,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009764475,"about_ca_topic_score_gemma":0.0006280069,"domain_scores_codex":[0.9994631,0.0001732755,0.00002999444,0.00008193274,0.0001651231,0.00008648376],"domain_scores_gemma":[0.9982589,0.0009714014,0.0001604632,0.0002114075,0.0002402998,0.000157655],"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":[0.00002963595,0.0000120097,0.0002166956,0.00003637904,0.00001160466,0.0000840906,0.0000875315,0.002325218,0.001103722,0.9898171,0.001020311,0.0052556],"study_design_scores_gemma":[0.00001769709,0.00004629486,0.0005222907,0.00003326661,0.00001915395,0.0001525725,0.00005832711,0.04126223,0.001147376,0.9487836,0.007940519,0.00001664337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3809856,0.008826156,0.3630962,0.006563619,0.001274797,0.0001364956,0.0008837033,0.000390336,0.2378432],"genre_scores_gemma":[0.9366363,0.00349482,0.02136443,0.001012745,0.001181388,0.0001329448,0.0003583327,0.0001395733,0.03567953],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005265006,"threshold_uncertainty_score":0.01761317,"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."}}