{"id":"W2112517612","doi":"10.1007/s00440-009-0225-7","title":"The spectrum of the random environment and localization of noise","year":2009,"lang":"en","type":"article","venue":"Probability Theory and Related Fields","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","keywords":"Mathematics; Combinatorics; Random walk; Discrete mathematics; Spectrum (functional analysis); Limit (mathematics); Statistical physics; Mathematical analysis; Statistics; Physics; Quantum mechanics","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":[0.0005612765,0.0004148977,0.0005071133,0.0008898248,0.0005584921,0.001129376,0.0007878378,0.0006988884,0.0009890764],"category_scores_gemma":[0.003807759,0.0002306369,0.0002801565,0.0004007702,0.002780842,0.001581336,0.001208303,0.000492074,0.000187143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005944709,"about_ca_system_score_gemma":0.0003025018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001097157,"about_ca_topic_score_gemma":0.0004479465,"domain_scores_codex":[0.9995781,0.0001613839,0.00001167582,0.00006553642,0.0000938927,0.00008942965],"domain_scores_gemma":[0.9982911,0.0008822994,0.0002898833,0.0001467288,0.0001497635,0.0002402338],"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":[0.0001348141,0.00004671182,0.001528404,0.00005356384,0.00001714989,0.0007237298,0.0003867591,0.1207864,0.01185146,0.8599769,0.0004477919,0.004046176],"study_design_scores_gemma":[0.00002961147,0.0000817461,0.001393386,0.00002281055,0.00001148199,0.0002165772,0.0001942433,0.4472016,0.002952378,0.5471749,0.000681196,0.00004010308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8167662,0.0004162165,0.1708277,0.0008324068,0.0000389889,0.00002465339,0.00008466223,0.0001315086,0.01087762],"genre_scores_gemma":[0.9950646,0.0001579547,0.003726751,0.00004538062,0.00002855522,0.0000189543,0.0000215058,0.00001801297,0.0009182739],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001129376,"threshold_uncertainty_score":0.004313171,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007470440229830982,"score_gpt":0.2247789412604073,"score_spread":0.2173085010305763,"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."}}