{"id":"W2794605529","doi":"10.1007/s00220-019-03434-3","title":"Tracy–Widom Fluctuations in 2D Random Schrödinger Operators","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Uniwersytet Warszawski","keywords":"Eigenvalues and eigenvectors; Lattice (music); Partition function (quantum field theory); Partition (number theory); Operator (biology); Square lattice; Random matrix; Weight function; Type (biology)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008331577,0.0006040801,0.0004736454,0.001240028,0.000559787,0.001514421,0.0006936665,0.0007946084,0.001736483],"category_scores_gemma":[0.002886088,0.0003045241,0.0005124161,0.0005503438,0.001829491,0.001831147,0.0008871889,0.0007912661,0.0001976843],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007153906,"about_ca_system_score_gemma":0.0004557542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009957008,"about_ca_topic_score_gemma":0.0006402145,"domain_scores_codex":[0.9995758,0.0001291759,0.00002279765,0.00006929492,0.0001150939,0.00008790119],"domain_scores_gemma":[0.9989925,0.0004371903,0.0001694815,0.0001069785,0.0001176535,0.0001762609],"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":[0.0001230867,0.00009582411,0.001131107,0.00005672758,0.00002263489,0.0006316613,0.0003587034,0.0422438,0.01480182,0.9356706,0.000738998,0.004125048],"study_design_scores_gemma":[0.00005313582,0.00009920442,0.001284159,0.00001673677,0.000009612852,0.000307555,0.00012924,0.6256359,0.004001229,0.3676566,0.0007429194,0.00006373897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8565725,0.000452058,0.1309724,0.0004701014,0.0001105221,0.00005169792,0.0001232759,0.0001996641,0.01104772],"genre_scores_gemma":[0.9882562,0.0001402222,0.00888672,0.00008236033,0.00005356468,0.0000502781,0.00004809545,0.0000329139,0.002449647],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001736483,"threshold_uncertainty_score":0.005809128,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05763593105955296,"score_gpt":0.3606351232472828,"score_spread":0.3029991921877298,"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."}}