{"id":"W4296471995","doi":"","title":"Walks in the quarter plane: a functional equation approach","year":2002,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Plane (geometry); Computer science; Mathematics; Geometry; History","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.009482024,0.0003724856,0.0003752506,0.0002794598,0.0003254482,0.000353675,0.001043594,0.0003944491,0.000432382],"category_scores_gemma":[0.005180689,0.0003236194,0.0002341252,0.0005251122,0.0002021819,0.0001556463,0.0004492843,0.001133138,0.0001042371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002677421,"about_ca_system_score_gemma":0.0002172086,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000494535,"about_ca_topic_score_gemma":0.001013872,"domain_scores_codex":[0.9900944,0.006856341,0.0008513805,0.0008296572,0.001014076,0.000354144],"domain_scores_gemma":[0.9890307,0.006692784,0.0005214512,0.002331625,0.001338297,0.00008516412],"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":[0.00008186317,0.005052328,0.002294811,0.0008801434,0.0001742703,0.000006311527,0.04925229,0.001602865,0.0002158815,0.9049059,0.02662588,0.00890746],"study_design_scores_gemma":[0.002886996,0.000002323854,0.02264592,0.001759121,0.0001801674,0.00008186357,0.002233471,0.3725536,0.0007929294,0.5821479,0.01319673,0.001518971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08642828,0.0004458999,0.6422149,0.02486539,0.0004969301,0.002275154,0.0002442754,0.0003834266,0.2426458],"genre_scores_gemma":[0.9331014,0.00006016038,0.05779574,0.000160417,0.00008524032,0.0005641089,0.001743939,0.00005563245,0.006433336],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8466731,"threshold_uncertainty_score":0.9999216,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0643878987671432,"score_gpt":0.253227944019438,"score_spread":0.1888400452522948,"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."}}