{"id":"W4408126716","doi":"10.1090/btran/220","title":"Percolation of terraces, and enhancements for the orthant model","year":2025,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Orthant; Percolation (cognitive psychology); Geology; Percolation theory; Geography; Geometry; Mathematics; Psychology; Topology (electrical circuits); Combinatorics; Neuroscience","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":[0.0006251482,0.0006591801,0.0008185764,0.001471196,0.001900978,0.003060645,0.001519065,0.001449707,0.007011211],"category_scores_gemma":[0.003897821,0.0004034796,0.001259112,0.0009505081,0.002044832,0.003962635,0.001870415,0.00164191,0.0007290929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001487767,"about_ca_system_score_gemma":0.0008696081,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009622662,"about_ca_topic_score_gemma":0.01009133,"domain_scores_codex":[0.9995371,0.000129847,0.00001853191,0.00009370494,0.0001253997,0.00009539995],"domain_scores_gemma":[0.9987271,0.0004431607,0.0001766644,0.0001709268,0.0001126549,0.0003694964],"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":[0.00006191463,0.00005034469,0.0008596287,0.00006298735,0.00001305632,0.0002972611,0.0001686927,0.01557769,0.001054999,0.9748012,0.004067488,0.002984779],"study_design_scores_gemma":[0.00004784934,0.00003665295,0.0009095924,0.00003535896,0.00002691985,0.0004627483,0.0002122291,0.1642281,0.0005135622,0.8267863,0.006702479,0.00003815974],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5808806,0.006206409,0.2036618,0.007404391,0.001059933,0.0002272484,0.001218099,0.001372011,0.1979696],"genre_scores_gemma":[0.9536688,0.001792584,0.0213544,0.0005271495,0.0004504796,0.0001158161,0.000636133,0.0002840698,0.02117061],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009622662,"threshold_uncertainty_score":0.02345484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02712493659416173,"score_gpt":0.3216647015246284,"score_spread":0.2945397649304667,"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."}}