{"id":"W2149179012","doi":"10.46298/dmtcs.6390","title":"Asymptotics of lattice walks via analytic combinatorics in several variables","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Combinatorics; Mathematics; Statistical physics; Discrete mathematics; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002043439,0.0005304896,0.001201677,0.000277962,0.0001939907,0.000152721,0.002034356,0.0001826827,0.00009658685],"category_scores_gemma":[0.002909794,0.0004631623,0.0002045283,0.002545432,0.002142495,0.0004606356,0.001098965,0.0005718225,0.00003345609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001491601,"about_ca_system_score_gemma":0.0001882623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002258652,"about_ca_topic_score_gemma":6.972887e-7,"domain_scores_codex":[0.9949386,0.000163777,0.001544188,0.0008077613,0.001617854,0.0009278672],"domain_scores_gemma":[0.9949262,0.002410785,0.0005790527,0.001113083,0.0004620118,0.0005088434],"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":[0.00002167291,0.0004231514,0.00005595883,0.0006587451,0.0000286577,0.00002182676,0.004047665,0.0004612191,0.0004599064,0.993636,0.0000289897,0.0001562254],"study_design_scores_gemma":[0.0004865494,0.000195824,0.00001129615,0.000159924,0.00005486076,0.0000130293,0.0001264984,0.4284922,0.001255312,0.5688998,0.000006499806,0.0002982249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05510356,0.00001873018,0.9385381,0.0005313856,0.0003886487,0.000635161,0.00001067326,0.0001747648,0.004598944],"genre_scores_gemma":[0.6578457,0.00000424711,0.341886,0.0001233771,0.0000730531,0.00000967068,0.000001577274,0.00005007989,0.000006274186],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6027421,"threshold_uncertainty_score":0.999782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0214445507650587,"score_gpt":0.2852786532059251,"score_spread":0.2638341024408664,"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."}}