{"id":"W2546131889","doi":"10.1007/s00220-020-03717-0","title":"Weighted Hurwitz Numbers and Topological Recursion","year":2020,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"European Research Council; Institute for Basic Science; Russian Foundation for Basic Research; Agence Nationale de la Recherche","keywords":"Recursion (computer science); Generating function; Polynomial; Series (stratigraphy); Hypergeometric distribution; Representation (politics); Genus; Hurwitz matrix","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001333542,0.0006604242,0.0009241941,0.002846942,0.001495534,0.003168446,0.001147479,0.001348161,0.009515086],"category_scores_gemma":[0.005054912,0.0004555451,0.00066273,0.00241347,0.003914792,0.007256709,0.0024558,0.002497838,0.0009668773],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00119629,"about_ca_system_score_gemma":0.0005301296,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004281982,"about_ca_topic_score_gemma":0.0006714455,"domain_scores_codex":[0.9991561,0.0002645558,0.00005053336,0.0001260606,0.0002775907,0.0001251723],"domain_scores_gemma":[0.996959,0.001605961,0.0003734927,0.0003846921,0.0003821602,0.0002946337],"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":[0.000005449221,0.000003321164,0.0000242595,0.000008457047,0.00000129176,0.00001118529,0.00004472038,0.0001736061,0.0001487566,0.9982346,0.0002211609,0.001123157],"study_design_scores_gemma":[0.000002213204,0.000002875528,0.00003521583,0.000002656878,0.000001206902,0.00001774602,0.000009974431,0.001257039,0.00008124299,0.9979072,0.0006792254,0.000003593655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.467312,0.003431654,0.31439,0.005479569,0.001743524,0.00005692364,0.0003218304,0.0006114559,0.206653],"genre_scores_gemma":[0.9463628,0.001175413,0.0197564,0.0006934246,0.00100087,0.00005313465,0.0001510515,0.0001879952,0.0306188],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009515086,"threshold_uncertainty_score":0.03183109,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05312136076804218,"score_gpt":0.3105942150860671,"score_spread":0.2574728543180249,"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."}}