{"id":"W1568507807","doi":"10.1023/a:1018628503898","title":"The Scaling Limit of the Incipient Infinite Cluster in High-Dimensional Percolation. I. Critical Exponents","year":2000,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Statistical physics; Scaling; Percolation (cognitive psychology); Critical point (mathematics); Brownian motion; Brownian excursion; Cluster (spacecraft); Scaling limit; Mathematical analysis; Physics; Diffusion process; Statistics; Computer science; Geometric Brownian motion; Geometry","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":[0.0006781763,0.0004809349,0.0005394066,0.001707475,0.0008552656,0.002137541,0.001134201,0.0008364434,0.001303867],"category_scores_gemma":[0.007805335,0.0003655891,0.0003275843,0.0007039768,0.002789975,0.002773875,0.001154933,0.00137601,0.0001979836],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009295369,"about_ca_system_score_gemma":0.0004406623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008003352,"about_ca_topic_score_gemma":0.0005036799,"domain_scores_codex":[0.9997779,0.00005804785,0.00001419694,0.00004238706,0.00006748718,0.00004006568],"domain_scores_gemma":[0.9975705,0.001166049,0.0003693493,0.0001801123,0.0003234817,0.0003905642],"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":[0.00008904649,0.00005501556,0.002616962,0.0002739069,0.00004208044,0.0004513619,0.0007873205,0.02245697,0.007988009,0.9529347,0.004068702,0.008236025],"study_design_scores_gemma":[0.00003253101,0.00005787323,0.003682764,0.0001086889,0.00004499321,0.0006232725,0.0002035052,0.1464313,0.002413992,0.8430117,0.003335423,0.00005396539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8669959,0.01258398,0.0789488,0.00256099,0.0004349588,0.00006818881,0.0001674044,0.0003746139,0.03786524],"genre_scores_gemma":[0.9937431,0.00144505,0.002860591,0.00007323097,0.0002842548,0.00002428916,0.00004430067,0.00004150327,0.00148365],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002137541,"threshold_uncertainty_score":0.006744266,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0288434983059852,"score_gpt":0.3139493613724476,"score_spread":0.2851058630664624,"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."}}