{"id":"W4409135004","doi":"10.1016/j.jcta.2025.106048","title":"A central limit theorem for a card shuffling problem","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Shuffling; Mathematics; Limit (mathematics); Central limit theorem; Combinatorics; Discrete mathematics; Mathematical analysis; 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":[],"consensus_categories":[],"category_scores_codex":[0.001486372,0.0001520449,0.0004359399,0.0001043484,0.0001683126,0.00008623108,0.0003438574,0.00008958671,0.00003043702],"category_scores_gemma":[0.0009268296,0.0001189243,0.0002841624,0.000183475,0.00007404255,0.0001402329,0.00005316862,0.0001937306,6.956223e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006923481,"about_ca_system_score_gemma":0.0001939439,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.362946e-7,"about_ca_topic_score_gemma":7.266354e-7,"domain_scores_codex":[0.998669,0.000090232,0.0006847196,0.0001059464,0.0002002204,0.0002499148],"domain_scores_gemma":[0.9975888,0.001195596,0.0004991614,0.000246852,0.0003908527,0.00007878396],"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":[0.0004195814,0.0002098552,0.000009977553,0.0002210795,0.0001660927,0.000001711062,0.0008689027,0.000007366101,0.0003368886,0.9852287,0.01192457,0.0006052405],"study_design_scores_gemma":[0.001086126,0.0001940787,0.000002511787,0.0002137039,0.000159913,0.00001796328,0.0007505259,0.0000387183,0.002374465,0.9306127,0.06444596,0.000103349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2276988,0.001591643,0.651161,0.009032634,0.01399779,0.005041608,0.00009463405,0.0002804705,0.09110143],"genre_scores_gemma":[0.9220262,0.00006417786,0.0732201,0.0001264636,0.001102991,0.000104505,0.000002129518,0.00005401856,0.003299385],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6943274,"threshold_uncertainty_score":0.484959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02266723897136259,"score_gpt":0.3050294632365724,"score_spread":0.2823622242652098,"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."}}