{"id":"W2020722320","doi":"10.1002/rsa.20473","title":"Degenerate random environments","year":2012,"lang":"en","type":"article","venue":"Random Structures and Algorithms","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Percolation (cognitive psychology); Random graph; Random walk; Mathematics; Combinatorics; Statistical physics; Phase transition; Intersection (aeronautics); Monotone polygon; Percolation threshold; Lattice (music); Discrete mathematics; Computer science; Physics; Graph; Geometry; Cartography; Statistics","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":[0.0002698404,0.0002060895,0.0003658648,0.00003174147,0.0001622895,0.00004162615,0.00009020672,0.00008859915,0.0001898105],"category_scores_gemma":[0.0003377635,0.0001464104,0.00005993074,0.00005498942,0.00005583871,0.00009209889,0.00005901122,0.0001279891,0.00000943076],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001337276,"about_ca_system_score_gemma":0.000008218732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004945233,"about_ca_topic_score_gemma":6.941279e-7,"domain_scores_codex":[0.9988679,0.00004782498,0.0002547322,0.000196949,0.00023171,0.0004008341],"domain_scores_gemma":[0.9990059,0.0005136941,0.00008348969,0.0001588478,0.00001309285,0.0002249691],"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":[0.001107703,0.0001942458,0.0001743838,0.0002772209,0.0003183868,0.0000210263,0.00135104,0.00002590221,0.002867979,0.7363443,0.001878465,0.2554393],"study_design_scores_gemma":[0.0152789,0.0000965899,0.0003637152,0.0000296389,0.0002282111,0.0001231098,0.0001037789,0.01091226,0.00444623,0.9635302,0.004370396,0.00051701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0298345,0.001884966,0.9670323,0.00005231044,0.0005094908,0.0002926126,0.00005243478,0.00003919753,0.0003021526],"genre_scores_gemma":[0.9104415,0.0002236946,0.08819958,0.0001458639,0.0005848604,0.00003320738,0.00001107871,0.00003525494,0.0003250121],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8806069,"threshold_uncertainty_score":0.5970441,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02836253196779329,"score_gpt":0.2904313842626388,"score_spread":0.2620688522948456,"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."}}