{"id":"W1971757493","doi":"10.1214/12-aap840","title":"Poisson–Dirichlet branching random walks","year":2013,"lang":"en","type":"article","venue":"The Annals of Applied Probability","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Random walk; Branching random walk; Combinatorics; Mathematics; Branching process; Poisson distribution; Vertex (graph theory); Tree (set theory); Loop-erased random walk; Heterogeneous random walk in one dimension; Statistics; Graph","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001513325,0.0005785385,0.0007370924,0.001707375,0.0009162072,0.001610225,0.001369294,0.000992598,0.004257966],"category_scores_gemma":[0.01005181,0.0003715244,0.0006155537,0.001002538,0.002004197,0.002013083,0.001425639,0.001829559,0.0007001584],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001382866,"about_ca_system_score_gemma":0.0007024937,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002099896,"about_ca_topic_score_gemma":0.002590379,"domain_scores_codex":[0.9992162,0.0002393881,0.00002303153,0.0001647781,0.000199329,0.0001573661],"domain_scores_gemma":[0.995321,0.003022102,0.0003909092,0.0003525715,0.0003815145,0.0005319861],"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":[0.00005198705,0.00002501639,0.001915893,0.0000392188,0.00001599848,0.0002080133,0.0001289569,0.04607804,0.001921087,0.941259,0.001407101,0.006949581],"study_design_scores_gemma":[0.00001209158,0.000014101,0.0008725605,0.00002120636,0.00001052217,0.0001260932,0.00005363435,0.4086073,0.001251488,0.5873232,0.001679474,0.00002829139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3747012,0.001147332,0.5910249,0.001083042,0.0001454289,0.00006021256,0.0004265585,0.0002960458,0.03111533],"genre_scores_gemma":[0.9255202,0.0007469526,0.06406412,0.0001734799,0.0001549279,0.0001131199,0.0004357186,0.0001195033,0.008671953],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004257966,"threshold_uncertainty_score":0.01424438,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1215012318571,"score_gpt":0.3460436688536372,"score_spread":0.2245424369965372,"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."}}