{"id":"W2951317322","doi":"10.1002/rsa.20230","title":"A percolating hard sphere model","year":2008,"lang":"en","type":"article","venue":"Random Structures and Algorithms","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"struct; SPHERES; Invariant (physics); Dimension (graph theory); Homogeneous; Poisson distribution; Mathematics; Poisson point process; Point (geometry); Translation (biology); Point process; Pure mathematics; Statistical physics; Combinatorics; Physics; Geometry; Computer science; Mathematical physics; Statistics","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":[0.0007607688,0.0005212019,0.001243502,0.001456059,0.001370595,0.002330722,0.001643355,0.002034519,0.005269283],"category_scores_gemma":[0.003486009,0.0004159092,0.0006744238,0.0007771808,0.00298037,0.002356141,0.002490843,0.001512928,0.0007126887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001224659,"about_ca_system_score_gemma":0.0006752554,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005252325,"about_ca_topic_score_gemma":0.002494808,"domain_scores_codex":[0.9993635,0.0001811186,0.00002319824,0.0001195749,0.000175223,0.0001373955],"domain_scores_gemma":[0.9980585,0.0008576075,0.0002448635,0.0002145272,0.000175285,0.000449192],"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":[0.00006091934,0.00005433133,0.0004463338,0.00004669022,0.00003244643,0.0003030896,0.0001585212,0.08164912,0.001096877,0.9127956,0.001810489,0.001545694],"study_design_scores_gemma":[0.00007395529,0.00002484872,0.0002264837,0.00001334585,0.00001604119,0.00008625184,0.00006548784,0.6024279,0.0002787434,0.3953353,0.001429896,0.00002178855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6996864,0.001070451,0.1976906,0.005292642,0.0002374145,0.0001529016,0.0006043698,0.0005143374,0.09475102],"genre_scores_gemma":[0.981048,0.0002425108,0.005745681,0.0002862672,0.0001015847,0.00007227869,0.0001474799,0.0000387508,0.01231742],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005269283,"threshold_uncertainty_score":0.01762754,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05984098628708964,"score_gpt":0.3016579664730122,"score_spread":0.2418169801859226,"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."}}