{"id":"W1679208360","doi":"10.1017/etds.2019.108","title":"Sobolev regularity of solutions of the cohomological equation","year":2020,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Ergodic theory; Sobolev space; Translation (biology); Interval (graph theory); Work (physics); Field (mathematics)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001272377,0.0001104223,0.0003889472,0.00001572916,0.00008449456,0.00001186566,0.0001917229,0.0001427773,0.00004542237],"category_scores_gemma":[0.001964836,0.00006614973,0.0001228675,0.000128078,0.0003582998,0.00003566753,0.0001441057,0.0001607014,0.000002510381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001324623,"about_ca_system_score_gemma":0.00002121671,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007112121,"about_ca_topic_score_gemma":0.000001568375,"domain_scores_codex":[0.9983715,0.0005454402,0.0005256885,0.0001627403,0.0002426544,0.0001519059],"domain_scores_gemma":[0.9979887,0.001359994,0.0002583801,0.0002412308,0.00005877887,0.00009288766],"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":[0.00005005407,0.00009992687,0.0001675507,0.0004140421,0.00003030528,6.600588e-7,0.0002698737,0.00005108707,0.001320558,0.9974032,0.00003160329,0.0001611468],"study_design_scores_gemma":[0.000237763,0.00008195736,0.0006926417,0.000115509,0.00006216675,0.000009621664,0.0002211395,0.1755689,0.0000402062,0.8228508,0.00003100748,0.0000883033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.529299,0.0002275905,0.4666161,0.0005813921,0.0001310128,0.0004670251,0.00006429847,0.00003970695,0.002573975],"genre_scores_gemma":[0.9993626,0.00000525154,0.0003968891,0.00003861946,0.00003537778,0.00001016049,0.000003155107,0.000008647064,0.0001392333],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4700637,"threshold_uncertainty_score":0.2697508,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07230583423779922,"score_gpt":0.274039634899099,"score_spread":0.2017338006612998,"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."}}