{"id":"W1656818195","doi":"10.48550/arxiv.0909.2293","title":"Localization and Perron--Frobenius theory for directed polymers","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Lanthanide and Transition Metal Complexes","field":"Materials Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematical economics; Polymer; Computer science; Economics; Mathematics; Physics","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":[0.0003580129,0.0002370318,0.0003191335,0.00007580231,0.0001755615,0.00009067041,0.0002001786,0.0001753499,0.0004751409],"category_scores_gemma":[0.00006180599,0.000205691,0.00009716843,0.00006747138,0.000107679,0.0001115625,0.0001040365,0.0001284881,0.00004675609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002434122,"about_ca_system_score_gemma":0.00005494323,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008714377,"about_ca_topic_score_gemma":0.00003022647,"domain_scores_codex":[0.9986699,0.000147996,0.0002724908,0.0005080182,0.0001497182,0.0002518442],"domain_scores_gemma":[0.99928,0.0001000833,0.0001339276,0.0003097858,0.00009188263,0.00008430697],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000945505,0.0003659349,0.01784288,0.001250188,0.0001905074,0.00003214132,0.002718899,0.001110578,0.9449794,0.0204096,0.00149109,0.008663319],"study_design_scores_gemma":[0.002637743,0.0004698086,0.1125017,0.0006740799,0.0008008191,0.00003951626,0.0004146929,0.003531916,0.7492818,0.1209555,0.006499054,0.002193406],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9515594,0.001365436,0.04449404,0.0002367032,0.000630004,0.0004795268,0.0001498786,0.0002958006,0.0007892426],"genre_scores_gemma":[0.997202,0.0001273889,0.001359462,0.0004984132,0.0001908101,0.00004345025,0.0002143921,0.00002791964,0.0003361875],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1956975,"threshold_uncertainty_score":0.8387834,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03545421226511851,"score_gpt":0.267007064818541,"score_spread":0.2315528525534225,"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."}}