{"id":"W2102008899","doi":"10.1007/s00220-017-2933-7","title":"Critical Exponents on Fortuin–Kasteleyn Weighted Planar Maps","year":2017,"lang":"en","type":"preprint","venue":"Communications in Mathematical Physics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Engineering and Physical Sciences Research Council; Isaac Newton Institute for Mathematical Sciences","keywords":"Exponent; Dimension (graph theory); Connection (principal bundle); Combinatorics; Mathematics; Planar; Brownian motion; Duality (order theory); Bijection; Physics; Mathematical analysis; Mathematical physics; Geometry; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0007461531,0.0006582636,0.00127566,0.0001421978,0.0004745901,0.0002969289,0.0040866,0.0005880814,0.00008080587],"category_scores_gemma":[0.009647861,0.0006211505,0.0002789683,0.000153393,0.0006175787,0.000137897,0.002507341,0.002352504,0.0003651093],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002290366,"about_ca_system_score_gemma":0.0001975289,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009901279,"about_ca_topic_score_gemma":0.00001012371,"domain_scores_codex":[0.9963649,0.0002586499,0.001221153,0.0007152289,0.0007825979,0.0006574628],"domain_scores_gemma":[0.9851236,0.006611345,0.0005067791,0.007169754,0.0003317726,0.0002567014],"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":[0.00002888861,0.001743619,0.000002305973,0.00137396,0.00006387533,0.00001511442,0.000407153,0.000004601861,0.000007097981,0.9886481,0.001891532,0.005813755],"study_design_scores_gemma":[0.0003960607,0.00008221499,0.0000138211,0.002606498,0.0001538215,0.000006934859,0.00009514656,0.05040673,0.00004567822,0.9453392,0.000282367,0.0005714966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0007333083,0.0002644222,0.9400281,0.003949468,0.0005241286,0.001490412,0.0007174455,0.0002900278,0.05200263],"genre_scores_gemma":[0.4845892,0.0002742343,0.5126255,0.0002865602,0.0003077558,0.0009910522,0.0003433459,0.0002154303,0.0003669197],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.483856,"threshold_uncertainty_score":0.9999491,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1948354526094714,"score_gpt":0.4289999329957301,"score_spread":0.2341644803862587,"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."}}