{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002046932,0.0002618856,0.0003770039,0.0001886912,0.00009914061,0.00003292389,0.0003097448,0.0002701182,0.0001637309],"category_scores_gemma":[0.0007512521,0.0002851235,0.00009872419,0.0003015748,0.0000670145,0.00008585531,0.0004710568,0.001075289,0.00005264667],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001476807,"about_ca_system_score_gemma":0.0001565238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001268084,"about_ca_topic_score_gemma":0.0009427444,"domain_scores_codex":[0.9987148,0.00007124313,0.0002375779,0.0006179002,0.00008422044,0.0002742398],"domain_scores_gemma":[0.9983956,0.000645891,0.0001829745,0.0004742589,0.0001744288,0.0001268526],"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":[0.00003584924,0.0001273108,0.0001310324,0.00009560206,0.00002837074,0.0001372572,0.0003108727,0.004756982,0.0001077097,0.9940338,0.00008029157,0.0001548905],"study_design_scores_gemma":[0.0003877732,0.00002284441,0.00009417638,0.0001062457,0.0000735698,0.000002090341,0.000126363,0.2925412,0.00003848903,0.7063516,0.00002505993,0.0002305513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3790899,0.00001443211,0.6180906,0.0000367344,0.0003702322,0.0003623415,0.00005620422,0.00007560167,0.001903921],"genre_scores_gemma":[0.9900522,0.00003099416,0.009258748,0.00003412244,0.0000596123,0.00000273374,0.00002082426,0.00002652115,0.0005142598],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6109623,"threshold_uncertainty_score":0.9999601,"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."}}