{"id":"W2076727031","doi":"10.1016/j.crma.2014.11.015","title":"About a possible analytic approach for walks in the quarter plane with arbitrary big jumps","year":2014,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Humanities; Quarter (Canadian coin); Calculus (dental); Philosophy; Geography","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000850899,0.0003080036,0.0005041988,0.000225934,0.0001466259,0.0001426978,0.0006204756,0.0001440143,0.00007851027],"category_scores_gemma":[0.0001261312,0.0001939783,0.000118783,0.0004503686,0.00006905545,0.00009063834,0.00004729738,0.0003659774,0.00003311768],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002793208,"about_ca_system_score_gemma":0.00005322183,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002442944,"about_ca_topic_score_gemma":0.00004781625,"domain_scores_codex":[0.9981907,0.0002257712,0.0004569444,0.000376853,0.0002970635,0.0004526699],"domain_scores_gemma":[0.9978543,0.001016276,0.000196475,0.0007821234,0.0000587696,0.00009203437],"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":[0.0005533146,0.002852902,0.01132169,0.004219233,0.0004307382,0.00005044483,0.01569881,0.0004263077,0.0003568633,0.8662784,0.09366719,0.004144074],"study_design_scores_gemma":[0.006839029,0.00294611,0.02527506,0.000967617,0.0003815114,0.0007832263,0.008384263,0.1731303,0.0007833206,0.7585699,0.01954746,0.00239216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6624562,0.0003613509,0.2611769,0.000830975,0.0001463568,0.002076455,0.00004178035,0.0003018371,0.07260808],"genre_scores_gemma":[0.9525737,0.00000699934,0.04571778,0.000542823,0.0001857649,0.0003473078,0.00007678766,0.00004498043,0.0005038504],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2901175,"threshold_uncertainty_score":0.7910205,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04173248134883954,"score_gpt":0.2710141962917036,"score_spread":0.2292817149428641,"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."}}