{"id":"W2085923535","doi":"10.4153/cmb-2010-056-x","title":"Asymptotics of Perimeter-Minimizing Partitions","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Williams College; National Science Foundation","keywords":"Perimeter; Mathematics; Partition (number theory); Planar; Torus; Geometry; Combinatorics; Surface (topology); Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001212352,0.0004817905,0.0006839562,0.00228732,0.001032543,0.00220149,0.001128381,0.0006461143,0.003225991],"category_scores_gemma":[0.01113371,0.0004538958,0.000368141,0.0006227149,0.002748858,0.002210264,0.001563768,0.001050344,0.0002769743],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001406362,"about_ca_system_score_gemma":0.0003050175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00124163,"about_ca_topic_score_gemma":0.000726267,"domain_scores_codex":[0.9994907,0.0001135081,0.00002080378,0.0001021873,0.000153445,0.0001192188],"domain_scores_gemma":[0.9965802,0.001922124,0.0004516099,0.000278572,0.0003596891,0.000407833],"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":[0.0003022347,0.00004200307,0.00655453,0.0001885383,0.00004317123,0.0003426163,0.0005192203,0.05037849,0.01614987,0.9091607,0.001925332,0.01439324],"study_design_scores_gemma":[0.00004584866,0.0001168801,0.009717717,0.0001180645,0.00004854356,0.0007626963,0.0004862068,0.3007422,0.007121828,0.6772584,0.00353039,0.00005117237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8889769,0.001118082,0.08858409,0.000492245,0.00005667377,0.00002633251,0.0001559408,0.0002516999,0.02033801],"genre_scores_gemma":[0.9901058,0.0003367671,0.007366705,0.00005751375,0.00006928709,0.00003379321,0.0001263122,0.00007033069,0.001833418],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003225991,"threshold_uncertainty_score":0.01079196,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03952533377805713,"score_gpt":0.2936525643446695,"score_spread":0.2541272305666123,"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."}}