{"id":"W3014156655","doi":"10.1017/etds.2021.57","title":"Amenable dynamical systems over locally compact groups","year":2021,"lang":"en","type":"preprint","venue":"Ergodic Theory and Dynamical Systems","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Locally compact space; Mathematics; Locally compact group; Crossed product; Multiplier (economics); Space (punctuation); Pure mathematics; Combinatorics; Discrete mathematics; Algebra over a field; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.003774516,0.001019551,0.002218811,0.0002467479,0.0003559022,0.001135305,0.0009439472,0.001328164,0.0002630293],"category_scores_gemma":[0.001277969,0.0008608971,0.0004046465,0.0003135083,0.0006389549,0.0002633824,0.001487617,0.002777736,0.00005604486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008821988,"about_ca_system_score_gemma":0.0003972403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003325339,"about_ca_topic_score_gemma":0.00005515396,"domain_scores_codex":[0.9906793,0.003511728,0.001525375,0.001648449,0.001381864,0.001253267],"domain_scores_gemma":[0.993264,0.003358579,0.0004742171,0.00176937,0.0003199405,0.0008138889],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0005623125,0.000531405,0.0005298566,0.006557185,0.0007198084,0.000557704,0.0006112141,0.01015195,0.0006050842,0.9783803,0.0005736884,0.0002195228],"study_design_scores_gemma":[0.00333009,0.0004705157,0.0008419751,0.008424858,0.0005240683,0.0009076232,0.006317468,0.6579149,0.00003838055,0.3165947,0.001255276,0.003380101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.813469,0.007838964,0.1703708,0.00008869547,0.002930134,0.002403361,0.0002869822,0.0005084788,0.002103569],"genre_scores_gemma":[0.9937684,0.0001807243,0.0003929886,0.00005638459,0.0006396042,0.0002367861,0.0002402485,0.0002152765,0.004269581],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6617855,"threshold_uncertainty_score":0.9999683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02334177913848293,"score_gpt":0.317403500181214,"score_spread":0.2940617210427311,"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."}}