{"id":"W2950159272","doi":"10.48550/arxiv.1006.4400","title":"Percolation in an ultrametric space","year":2010,"lang":"en","type":"preprint","venue":"","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Ultrametric space; Percolation threshold; Mathematics; Continuum percolation theory; Percolation critical exponents; Combinatorics; Percolation theory; Percolation (cognitive psychology); Euclidean space; Directed percolation; Statistical physics; Renormalization group; Random graph; Lattice (music); Discrete mathematics; Physics; Mathematical physics; Topology (electrical circuits); Metric space; Quantum mechanics; Graph","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":[0.0003179162,0.000195814,0.0003190922,0.0002253088,0.00002527749,0.00008044463,0.0002510595,0.0004977965,0.0005204743],"category_scores_gemma":[0.00321964,0.000173159,0.00004416105,0.0002212338,0.00001635016,0.00005252528,0.0001527873,0.001015252,0.00002478098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005146058,"about_ca_system_score_gemma":0.00009954964,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007534358,"about_ca_topic_score_gemma":0.0005713287,"domain_scores_codex":[0.9988151,0.00002962156,0.0003183205,0.0003760548,0.0002500182,0.000210951],"domain_scores_gemma":[0.9985164,0.0007141749,0.0001117899,0.0004325323,0.0001258992,0.00009924574],"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":[0.000009901745,0.0001723394,0.00009919183,0.000302102,0.000005224882,0.000006268748,0.00024855,0.00002693271,0.0001517943,0.9947644,0.0001137341,0.00409955],"study_design_scores_gemma":[0.0001335362,0.00004921422,0.0003704502,0.00005399643,0.00002278235,0.000002689283,0.00007729181,0.09358193,0.0001136558,0.90536,0.00002450999,0.0002099683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09967346,0.00001914481,0.8945385,0.0001401295,0.0004755806,0.000438606,0.00002630788,0.0001131339,0.00457516],"genre_scores_gemma":[0.7057435,0.000006077748,0.2938318,0.00003170965,0.00009939641,0.00003877305,0.0000175769,0.0000255242,0.0002056548],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.60607,"threshold_uncertainty_score":0.7061219,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07791443209547796,"score_gpt":0.3768174008385032,"score_spread":0.2989029687430252,"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."}}