{"id":"W2061974308","doi":"10.1016/j.laa.2003.09.020","title":"A limit theorem for sets of stochastic matrices","year":2004,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Infimum and supremum; Integer (computer science); Hausdorff distance; Integer matrix; Sequence (biology); Discrete mathematics; Hausdorff space; Matrix (chemical analysis); Nonnegative matrix; Symmetric matrix; Eigenvalues and eigenvectors; Mathematical analysis","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":[0.006302124,0.001700001,0.002715878,0.004571609,0.003057803,0.005424944,0.003681171,0.002663793,0.006844967],"category_scores_gemma":[0.02093714,0.001322975,0.003539425,0.003439903,0.005203729,0.0122591,0.006404613,0.006047843,0.001006354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002219694,"about_ca_system_score_gemma":0.001519836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001770181,"about_ca_topic_score_gemma":0.001061726,"domain_scores_codex":[0.9961791,0.001193245,0.0002233284,0.0009022401,0.001133685,0.0003682804],"domain_scores_gemma":[0.9788855,0.01572238,0.0009744753,0.0009963827,0.002175067,0.001246232],"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":[0.00002289864,0.00002705122,0.0001846475,0.00006067627,0.00003251811,0.00006072113,0.0001465401,0.002749434,0.0005117097,0.9920838,0.0007808102,0.003339267],"study_design_scores_gemma":[0.00001415365,0.00002209693,0.0001112843,0.00002657322,0.00001769972,0.0001265032,0.0000355612,0.04061412,0.0003849084,0.956893,0.00173368,0.00002045909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04063443,0.001874029,0.9295187,0.002029029,0.0003225827,0.00007157216,0.0004416392,0.0003075676,0.02480042],"genre_scores_gemma":[0.7319315,0.004699518,0.2138713,0.003160266,0.002061383,0.001302575,0.001140919,0.0006184497,0.04121402],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006844967,"threshold_uncertainty_score":0.03332919,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00963199490429643,"score_gpt":0.226216733695474,"score_spread":0.2165847387911776,"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."}}