{"id":"W1981257234","doi":"10.1007/s00365-008-9026-y","title":"First Colonization of a Spectral Outpost in Random Matrix Theory","year":2008,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Random matrix; Mathematics; Eigenvalues and eigenvectors; Hermitian matrix; Orthogonal polynomials; Scaling; Matrix (chemical analysis); Zero (linguistics); Riemann hypothesis; Exponent; Mathematical analysis; Pure mathematics; Physics; Quantum mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004732423,0.0001287164,0.0003470294,0.0001737771,0.00009360095,0.000009111946,0.00008666959,0.0000935609,0.0003384597],"category_scores_gemma":[0.0009949063,0.000115165,0.00007573875,0.0003154452,0.0002197938,0.0001632506,0.00002403335,0.00009967796,0.00001906667],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006515766,"about_ca_system_score_gemma":0.00006927073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001008649,"about_ca_topic_score_gemma":0.000014077,"domain_scores_codex":[0.9988523,0.0001372556,0.0005249986,0.000165841,0.0001670108,0.0001525836],"domain_scores_gemma":[0.9984396,0.0009527774,0.0002504646,0.0002035869,0.0001178219,0.00003575286],"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":[0.0002642785,0.0001883907,0.00390286,0.0002283358,0.00003074094,0.00000292198,0.002534914,0.00004551472,0.0006550968,0.9916471,0.0001868639,0.0003129939],"study_design_scores_gemma":[0.00384193,0.0001073668,0.004543196,0.0002073776,0.00005634765,0.0001311353,0.0008411798,0.005947064,0.009751291,0.974174,0.0001258137,0.000273293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8062618,0.00003783353,0.183852,0.00006796814,0.000104508,0.001045357,0.00001959041,0.00004893207,0.008561963],"genre_scores_gemma":[0.9600181,0.00001228169,0.03956451,0.000008012807,0.00004766008,0.00008903149,0.00001057916,0.00001585348,0.0002339565],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1537563,"threshold_uncertainty_score":0.4696291,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03034078791078398,"score_gpt":0.2824842546602802,"score_spread":0.2521434667494962,"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."}}