{"id":"W4410521533","doi":"10.5802/ahl.231","title":"Critical trees are neither too short nor too fat","year":2025,"lang":"en","type":"article","venue":"Annales Henri Lebesgue","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; McGill University","keywords":"Mathematics; Generality; Domain (mathematical analysis); Upper and lower bounds; Cauchy distribution; Tree (set theory); Distribution (mathematics); Combinatorics; Mathematical analysis","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":[0.001627806,0.0006090507,0.000896639,0.001632201,0.001624098,0.002625765,0.001295886,0.00127918,0.005816209],"category_scores_gemma":[0.02595212,0.0006618513,0.0005626576,0.0009048609,0.003470531,0.004629533,0.002950394,0.003717823,0.0006993994],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001133872,"about_ca_system_score_gemma":0.000626224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001132153,"about_ca_topic_score_gemma":0.001919812,"domain_scores_codex":[0.9993153,0.00009945584,0.00003022634,0.0001895893,0.0001762251,0.0001891945],"domain_scores_gemma":[0.9796764,0.01241264,0.002902632,0.001284246,0.001707966,0.002016188],"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":[0.0002579833,0.00007045094,0.01114105,0.0003418504,0.00006380196,0.0004622476,0.001006521,0.02023235,0.01828725,0.9211058,0.003408293,0.0236224],"study_design_scores_gemma":[0.00003142195,0.00009545834,0.00691716,0.0001414587,0.00005224932,0.0006880346,0.0005854097,0.07820815,0.006837104,0.9022745,0.004098458,0.0000705677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6235257,0.001811755,0.3369605,0.001710703,0.0001503188,0.00008472922,0.0004890164,0.0005388848,0.03472842],"genre_scores_gemma":[0.9813359,0.0006137567,0.01435684,0.0003832453,0.0001315213,0.00006911153,0.0002229414,0.0001337894,0.002752879],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005816209,"threshold_uncertainty_score":0.01945722,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05733941254851745,"score_gpt":0.3693569755770033,"score_spread":0.3120175630284859,"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."}}