{"id":"W3101695307","doi":"","title":"Dyson's Spike for Random Schroedinger Operators and Novikov-Shubin Invariants of Groups","year":2017,"lang":"en","type":"article","venue":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Novikov self-consistency principle; Measure (data warehouse); Schrödinger's cat; Random matrix; Eigenvalues and eigenvectors; Mathematics; Mathematical physics; Matrix (chemical analysis); Lie group; Zero (linguistics); Distribution (mathematics); Combinatorics; Pure mathematics; Physics; Mathematical analysis; Quantum mechanics","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":["sts"],"consensus_categories":["sts"],"category_scores_codex":[0.001125371,0.0003276388,0.000905745,0.0001850231,0.001317379,0.0001515771,0.005033903,0.0003919503,0.00002727897],"category_scores_gemma":[0.0003701294,0.0002013831,0.0004839923,0.0004980885,0.003133304,0.003411789,0.00165568,0.0005201197,6.433556e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007995922,"about_ca_system_score_gemma":0.0001820814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001288897,"about_ca_topic_score_gemma":1.228459e-7,"domain_scores_codex":[0.9967687,0.0002522168,0.001326308,0.0005421709,0.0007248216,0.0003857893],"domain_scores_gemma":[0.9952791,0.001000243,0.002875341,0.000677653,0.00002501081,0.0001426133],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001140488,0.0004882605,0.08309582,0.002319035,0.0004682344,6.050397e-7,0.0015375,0.0001068134,0.2134018,0.6645947,0.03152557,0.001321202],"study_design_scores_gemma":[0.004301381,0.0001432431,0.07064749,0.001114687,0.0003632363,0.00003421995,0.0002545917,0.001639364,0.7470059,0.1696311,0.004439215,0.0004256067],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9695863,0.001004345,0.00007777979,0.02159059,0.0003444294,0.001867032,0.0001285764,0.00005344914,0.005347524],"genre_scores_gemma":[0.9877804,0.0002149359,0.009065227,0.000306617,0.0002738711,0.00004067579,8.053879e-7,0.00004987898,0.002267572],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5336041,"threshold_uncertainty_score":0.9999828,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04361893805463214,"score_gpt":0.3005737444196452,"score_spread":0.2569548063650131,"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."}}