{"id":"W2952836699","doi":"10.48550/arxiv.1601.04242","title":"On Logarithmic Sobolev Inequality for the Noncommutative Two Torus","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Noncommutative geometry; Torus; Mathematics; Logarithm; Pure mathematics; Inequality; Mathematical analysis; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001153446,0.0005974757,0.0006098746,0.001724484,0.0009155649,0.001701264,0.0007824688,0.000703953,0.005548917],"category_scores_gemma":[0.003504573,0.0002112753,0.0004920193,0.0007927411,0.002554142,0.003623802,0.002078754,0.001950503,0.0005647094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008421591,"about_ca_system_score_gemma":0.0002959661,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005620195,"about_ca_topic_score_gemma":0.0003740733,"domain_scores_codex":[0.9995562,0.0001230801,0.00001921937,0.00008066677,0.0001249016,0.00009593935],"domain_scores_gemma":[0.9983951,0.0007854475,0.0001747385,0.0001134922,0.0002206539,0.0003105402],"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":[0.00002848505,0.000009555893,0.0003832331,0.00004608133,0.000005428054,0.0001566306,0.0001384257,0.0005638493,0.001582904,0.9923041,0.0009302331,0.003850952],"study_design_scores_gemma":[0.00000725374,0.00002164318,0.001047851,0.00001585159,0.00000621282,0.0002312599,0.00008664987,0.01199826,0.0008589696,0.9826418,0.003071247,0.00001296051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5886771,0.002913899,0.2151777,0.006670667,0.0009317608,0.00005246793,0.0003966325,0.0002460367,0.1849337],"genre_scores_gemma":[0.9727325,0.0008682669,0.01110403,0.0004113973,0.000397412,0.00003924321,0.0001850575,0.00008020294,0.0141819],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005548917,"threshold_uncertainty_score":0.01856297,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2433684175352974,"score_gpt":0.3247777616881495,"score_spread":0.08140934415285209,"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."}}