{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001650985,0.0006196331,0.00133257,0.001912827,0.001199641,0.002202306,0.001442055,0.001862743,0.005848688],"category_scores_gemma":[0.01143883,0.0004853078,0.0008854678,0.001072754,0.003402262,0.00238237,0.002169698,0.001482292,0.000532377],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001348434,"about_ca_system_score_gemma":0.0003994137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001523136,"about_ca_topic_score_gemma":0.0009279037,"domain_scores_codex":[0.9974778,0.001156438,0.0001252743,0.0005447523,0.0003545699,0.000341049],"domain_scores_gemma":[0.9944116,0.002551417,0.000945608,0.0008684937,0.0004812518,0.0007415087],"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":[0.0001105113,0.00005216105,0.001751972,0.00008019117,0.00003463119,0.000515462,0.0002090938,0.05449531,0.0009421624,0.9369794,0.001773485,0.003055598],"study_design_scores_gemma":[0.00005184841,0.00004779211,0.0006754603,0.00002843219,0.0000210294,0.0004485846,0.0001211457,0.3188389,0.0005154312,0.6760652,0.003153519,0.00003274798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4963934,0.001561421,0.4144707,0.002984977,0.0003031151,0.0002178985,0.001196831,0.0003771889,0.08249453],"genre_scores_gemma":[0.9815474,0.0002420782,0.01272615,0.0003180286,0.0001128051,0.00009904708,0.0002160237,0.00003417483,0.004704339],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005848688,"threshold_uncertainty_score":0.01956576,"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."}}