{"id":"W7115186767","doi":"10.1016/j.aam.2025.103020","title":"Macdonald polynomials at t = 0 through twisted multiline queues","year":2025,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Queue; Algebra over a field; Orthogonal polynomials; Macdonald polynomials; Burke's theorem","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.001737268,0.001281165,0.001567948,0.003974349,0.003736341,0.006379825,0.002345752,0.002909762,0.01758724],"category_scores_gemma":[0.006357811,0.000909662,0.001501799,0.002260795,0.005275796,0.01092136,0.00548314,0.005860447,0.002746296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00257201,"about_ca_system_score_gemma":0.001707353,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001374145,"about_ca_topic_score_gemma":0.001453031,"domain_scores_codex":[0.9986838,0.0003057318,0.0000607404,0.0001516035,0.0003379173,0.0004603505],"domain_scores_gemma":[0.9975758,0.0006608127,0.0003535492,0.0003322212,0.0003456511,0.0007318873],"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":[0.00004740693,0.00002657384,0.00005890072,0.00001487445,0.00000456405,0.00009942488,0.0001536702,0.0007266976,0.0007685031,0.9962175,0.0005494434,0.001332458],"study_design_scores_gemma":[0.00003063721,0.00001881428,0.00007738765,0.00001975689,0.000006857319,0.0001199181,0.00007281546,0.009533903,0.0005499743,0.9885967,0.0009429373,0.00003018557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6109631,0.0009560259,0.2073997,0.00417442,0.001963751,0.0002295548,0.0003801521,0.001561107,0.1723721],"genre_scores_gemma":[0.9436819,0.0004503921,0.01677154,0.0008104392,0.0007102244,0.0001421277,0.0001286813,0.0005670793,0.03673769],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01758724,"threshold_uncertainty_score":0.05883521,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02655878878176506,"score_gpt":0.3623751252259254,"score_spread":0.3358163364441603,"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."}}