{"id":"W2949247633","doi":"10.48550/arxiv.1012.1070","title":"Agglomerative Percolation in Two Dimensions","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Percolation critical exponents; Directed percolation; Square lattice; Statistical physics; Renormalization group; Continuum percolation theory; Percolation threshold; Cluster (spacecraft); Universality (dynamical systems); Mathematics; Critical exponent; Percolation (cognitive psychology); Lattice (music); Combinatorics; Physics; Condensed matter physics; Scaling; Computer science; Geometry; Mathematical physics; Quantum mechanics; Psychology","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":[0.0004179793,0.000723759,0.0004132972,0.0009310158,0.001054649,0.001649932,0.0007610879,0.001059006,0.001170369],"category_scores_gemma":[0.00186288,0.0003391006,0.0004033756,0.0007969752,0.002029202,0.001054481,0.001334382,0.0008441218,0.0001501841],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009851425,"about_ca_system_score_gemma":0.0004190916,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005579063,"about_ca_topic_score_gemma":0.003329922,"domain_scores_codex":[0.9995149,0.0001722777,0.00001569706,0.0000632238,0.0001152016,0.0001185749],"domain_scores_gemma":[0.9989206,0.0005370451,0.0002013705,0.00006281309,0.000108268,0.0001699415],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001971987,0.0001771965,0.003234369,0.0001624035,0.00009874969,0.0009408421,0.0006319266,0.26371,0.004426423,0.7164537,0.005060791,0.004906329],"study_design_scores_gemma":[0.0001013975,0.00004179558,0.001628567,0.00001973711,0.00001873713,0.0001692154,0.0001718142,0.7033416,0.0006735254,0.2913042,0.002494767,0.00003471127],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8866633,0.002494599,0.06282885,0.002342468,0.0001629663,0.00005599698,0.000211914,0.0003499958,0.0448898],"genre_scores_gemma":[0.990796,0.0004168628,0.0054064,0.0001071624,0.00004608099,0.00003201811,0.00005489674,0.00001856225,0.003122031],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005579063,"threshold_uncertainty_score":0.01109314,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1248713898733901,"score_gpt":0.2687046391909625,"score_spread":0.1438332493175725,"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."}}