{"id":"W2963866547","doi":"10.1512/iumj.2019.68.7615","title":"On convergence of oscillatory ergodic Hilbert transforms","year":2019,"lang":"en","type":"article","venue":"Indiana University Mathematics Journal","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; National Science Foundation","keywords":"Ergodic theory; Mathematics; Convergence (economics); Stationary ergodic process; Applied mathematics; Pure mathematics; Mathematical analysis; Invariant measure","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006411281,0.0001803899,0.000468589,0.0004888684,0.0001559911,0.0000189364,0.0005576122,0.0001184785,0.002153243],"category_scores_gemma":[0.0002175188,0.0001610195,0.0002865527,0.0004257212,0.0001339279,0.0002537693,0.00006032423,0.0005605008,0.0002614781],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002938985,"about_ca_system_score_gemma":0.0002171015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005238955,"about_ca_topic_score_gemma":0.00001026637,"domain_scores_codex":[0.9981564,0.00007614734,0.000402763,0.0001876915,0.000819061,0.0003579259],"domain_scores_gemma":[0.9981905,0.0006164346,0.0003894329,0.0003614096,0.0002239959,0.000218224],"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":[0.000479328,0.002086395,0.004975375,0.001736557,0.001737811,0.0007106393,0.01484929,0.001264646,0.006111594,0.9558606,0.007312795,0.002874971],"study_design_scores_gemma":[0.006250605,0.001194567,0.0007488503,0.00110358,0.0005148772,0.0005080421,0.01745859,0.01217306,0.009292716,0.9427945,0.006671003,0.001289588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9477522,0.00003474858,0.03642387,0.0001361899,0.00009560557,0.0002576485,0.00001208452,0.0000284566,0.01525915],"genre_scores_gemma":[0.986944,0.0001612432,0.008552103,0.00002009661,0.0000227076,1.709122e-7,0.000001285513,0.00002625792,0.004272202],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03919169,"threshold_uncertainty_score":0.9987589,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02744223767377886,"score_gpt":0.2831387945582075,"score_spread":0.2556965568844287,"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."}}