{"id":"W2044476687","doi":"10.1090/s0002-9947-2012-05736-9","title":"Convolution powers in the operator-valued framework","year":2012,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Agence Nationale de la Recherche; National Science Foundation","keywords":"Convolution (computer science); Noncommutative geometry; Upper and lower bounds; Exponent; Space (punctuation); Unital; Distribution (mathematics)","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0008482311,0.0001389173,0.0003116583,0.00001817818,0.0002184101,0.00002040522,0.0004762119,0.00005834497,0.0001486029],"category_scores_gemma":[0.0001294716,0.00007657149,0.0004198884,0.0008001699,0.0004836264,0.0001046481,0.00001386517,0.0003487556,0.0000237855],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005457748,"about_ca_system_score_gemma":0.00002526475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004538674,"about_ca_topic_score_gemma":0.000002284592,"domain_scores_codex":[0.9986892,0.0001628075,0.0003914508,0.0001182556,0.0003414956,0.0002967574],"domain_scores_gemma":[0.997937,0.001151731,0.0002167045,0.0006015248,0.00003732297,0.00005570081],"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":[0.00005182905,0.002956698,0.001816938,0.0003615881,0.0002816173,1.634401e-7,0.03400902,0.0001484669,0.001158209,0.9524481,0.00480283,0.001964506],"study_design_scores_gemma":[0.001833996,0.0001802831,0.01568523,0.0003130532,0.0009798616,0.00005923328,0.04608011,0.007726177,0.002088889,0.9214517,0.002764681,0.0008367745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4897413,0.00007321685,0.5055562,0.002466738,0.00006605912,0.0006933838,0.00001582376,0.00004932172,0.001338029],"genre_scores_gemma":[0.9411655,0.00002944817,0.05820876,0.0003355492,0.00004574448,0.0001123824,4.463238e-7,0.00001716994,0.00008500723],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4514242,"threshold_uncertainty_score":0.3122495,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02847608206129254,"score_gpt":0.3264008040704112,"score_spread":0.2979247220091186,"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."}}