{"id":"W2044448272","doi":"10.1214/11-aap761","title":"Invasion percolation on the Poisson-weighted infinite tree","year":2012,"lang":"en","type":"article","venue":"The Annals of Applied Probability","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Poisson distribution; Point process; Percolation (cognitive psychology); Representation (politics); Limit (mathematics); Poisson point process; Tree (set theory); Discrete Poisson equation; Markov process","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002225347,0.0001552342,0.0002288757,0.00002330589,0.0001696389,0.00001698828,0.0003046403,0.00008127254,0.0001392353],"category_scores_gemma":[0.001506523,0.0000771442,0.00007302922,0.0002194063,0.0001186201,0.00005444224,0.0000937035,0.000214221,0.00004539186],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001520006,"about_ca_system_score_gemma":0.00002918918,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004938148,"about_ca_topic_score_gemma":0.000005798665,"domain_scores_codex":[0.9987097,0.00009071967,0.0003728734,0.0001644765,0.0003650262,0.0002971754],"domain_scores_gemma":[0.9958775,0.00307802,0.0002018052,0.0006199123,0.0001491932,0.00007357634],"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":[0.0002266803,0.0002590188,0.00001611905,0.00009755347,0.0000205085,4.191944e-8,0.001221797,0.000003459952,0.0005102299,0.9899274,0.001230439,0.006486727],"study_design_scores_gemma":[0.0001225194,0.00008853175,0.0008743877,0.00002638034,0.0000292697,5.946965e-7,0.0001418838,0.0008796419,0.01057352,0.9868161,0.0003505648,0.00009656573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9067719,0.00006724942,0.05099051,0.00713461,0.000137922,0.002014755,0.00004822914,0.0001026351,0.03273221],"genre_scores_gemma":[0.9950086,0.000008379238,0.004055963,0.0007164122,0.00008264624,0.00009093759,0.000003641303,0.00001441891,0.00001896568],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08823676,"threshold_uncertainty_score":0.3145849,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2200478891237396,"score_gpt":0.3556360120295853,"score_spread":0.1355881229058458,"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."}}