{"id":"W2075002921","doi":"10.1007/s10801-014-0555-0","title":"The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials","year":2014,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"Ministero dell’Istruzione, dell’Università e della Ricerca; Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Mathematics; Partition function (quantum field theory); Combinatorics; Vertex model; Graph partition; Vertex (graph theory); Partition (number theory); Macdonald polynomials; Schur polynomial; Polynomial; Discrete mathematics; Orthogonal polynomials; Difference polynomials; Mathematical analysis; Graph; Physics; Quantum mechanics","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":[0.000803544,0.000961511,0.002292329,0.002325542,0.002782594,0.004688952,0.002257333,0.003302581,0.01075763],"category_scores_gemma":[0.001199261,0.0006119865,0.001893982,0.001057895,0.003651753,0.00461176,0.002496444,0.002917342,0.001470768],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001639511,"about_ca_system_score_gemma":0.001569018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003341258,"about_ca_topic_score_gemma":0.003361621,"domain_scores_codex":[0.9994886,0.0001126046,0.00002350209,0.00006481677,0.0001389442,0.0001715372],"domain_scores_gemma":[0.9993303,0.00008191075,0.00008484448,0.0001489142,0.00007986327,0.0002743289],"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":[0.00006535102,0.0000643622,0.0001429761,0.00003348343,0.00001199329,0.0003177226,0.00012411,0.002374338,0.001715921,0.9926183,0.0009955,0.001535939],"study_design_scores_gemma":[0.00006855121,0.0000287675,0.0003405224,0.0000184243,0.00001140016,0.0002562736,0.0001153184,0.02199469,0.0003333463,0.9755861,0.001211181,0.00003545942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7806352,0.0008135776,0.0289036,0.003185449,0.001057861,0.0001018628,0.0002924872,0.0004698594,0.1845401],"genre_scores_gemma":[0.9636654,0.0003915699,0.006907481,0.0008049156,0.0006776524,0.00006630144,0.0002962867,0.0001734718,0.02701703],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01075763,"threshold_uncertainty_score":0.03598785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01264675994801379,"score_gpt":0.2551281636147453,"score_spread":0.2424814036667315,"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."}}