{"id":"W2581877947","doi":"10.4153/cmb-2017-052-5","title":"Growth Rates of 3-dimensional Hyperbolic Coxeter Groups are Perron Numbers","year":2017,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Coxeter group; Mathematics; Polyhedron; Combinatorics; PARRY; Hyperbolic triangle; Dihedral group; Point group; Hyperbolic geometry; Pure mathematics; Group (periodic table); Physics; Differential geometry; Computer science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"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":[0.00156019,0.0005255027,0.0005637995,0.002261594,0.001126837,0.002661308,0.001066184,0.001117606,0.006790761],"category_scores_gemma":[0.009740188,0.0003267138,0.0006793659,0.0008785956,0.002434357,0.004430596,0.002069855,0.00165288,0.000747842],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0010971,"about_ca_system_score_gemma":0.0005157093,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008809722,"about_ca_topic_score_gemma":0.0004907367,"domain_scores_codex":[0.9992742,0.0001877843,0.00004320002,0.0001214629,0.0002031187,0.0001702696],"domain_scores_gemma":[0.9937509,0.002719931,0.001310715,0.0004919195,0.0007459672,0.0009805947],"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":[0.0001950839,0.00003824845,0.006780236,0.00009747646,0.00002538512,0.0002979501,0.0007751453,0.01289922,0.005148222,0.9597824,0.001843561,0.01211711],"study_design_scores_gemma":[0.00003104961,0.0001043308,0.004377156,0.00006838552,0.00002905583,0.0006153922,0.0006687745,0.08167401,0.006001689,0.8989778,0.00736991,0.00008242672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.896704,0.0009794522,0.06677749,0.001486958,0.0002261385,0.00006002813,0.0003441586,0.0002054117,0.03321625],"genre_scores_gemma":[0.9836375,0.0005575851,0.008139358,0.00008674437,0.0001327595,0.00008916236,0.0001868299,0.00005824891,0.007111826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006790761,"threshold_uncertainty_score":0.02271736,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05068289406433939,"score_gpt":0.2986017307625893,"score_spread":0.2479188366982499,"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."}}