{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000595547,0.0008164094,0.001106189,0.002323144,0.0008804402,0.002645768,0.001481968,0.002133901,0.009335556],"category_scores_gemma":[0.002440929,0.000418572,0.0008711066,0.001233924,0.001684209,0.003309859,0.001432331,0.001342999,0.0008479886],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009929152,"about_ca_system_score_gemma":0.0005294704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002481648,"about_ca_topic_score_gemma":0.001523382,"domain_scores_codex":[0.9997389,0.000105902,0.00001213633,0.00005962987,0.00005204651,0.00003134991],"domain_scores_gemma":[0.9992729,0.0003017948,0.0001105862,0.00005032993,0.0001338729,0.0001305256],"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":[0.00002256996,0.00002421746,0.00024261,0.00005339445,0.0000144879,0.0001128948,0.0001074192,0.02627042,0.0009911252,0.9658572,0.001650235,0.004653334],"study_design_scores_gemma":[0.0000138157,0.00001507316,0.0002591941,0.00002253687,0.000007768563,0.0001116772,0.0001068395,0.3092232,0.000193199,0.6870517,0.00297766,0.00001737465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2153969,0.003279009,0.6839898,0.005942282,0.000934595,0.00009540881,0.0004252332,0.0002317615,0.089705],"genre_scores_gemma":[0.8375519,0.004289829,0.07164352,0.001117487,0.001300935,0.000174435,0.0005592325,0.0004319003,0.08293078],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009335556,"threshold_uncertainty_score":0.03123051,"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."}}