{"id":"W2042940983","doi":"10.1007/s00039-012-0154-y","title":"On the Critical Line of Convex Co-Compact Hyperbolic Surfaces","year":2012,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Fuchsian group; Conjecture; Upper and lower bounds; Backslash; Hyperbolic geometry; Combinatorics; Regular polygon; Convex body; Kleinian group; Mathematical analysis; Compact space; Lattice (music); Omega; Convex hull; Geometry; Differential geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000422961,0.0009837839,0.0009129681,0.004166964,0.001743267,0.003140873,0.001024966,0.001300236,0.007518156],"category_scores_gemma":[0.003053874,0.000358498,0.000358684,0.0009953282,0.002867904,0.002509315,0.001543294,0.001500766,0.0007701687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001959308,"about_ca_system_score_gemma":0.0004380435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002356871,"about_ca_topic_score_gemma":0.001106432,"domain_scores_codex":[0.999723,0.00006825168,0.0000097933,0.00004862947,0.00008357849,0.00006680536],"domain_scores_gemma":[0.9986206,0.000385858,0.0003002057,0.0000646863,0.0002316395,0.0003969335],"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":[0.0001358915,0.0000393607,0.0008407069,0.00006407934,0.00001801241,0.0003470647,0.0004016576,0.004176019,0.003029667,0.9844294,0.001794089,0.004724098],"study_design_scores_gemma":[0.00007286883,0.00007091685,0.002040643,0.00005728438,0.000014165,0.0004943057,0.000466948,0.04468599,0.001170539,0.9459455,0.004949151,0.00003168248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8902989,0.001685369,0.03702605,0.002222474,0.0001861898,0.00005645854,0.0002643567,0.0002213481,0.06803895],"genre_scores_gemma":[0.9859865,0.0004711788,0.003501489,0.0001188464,0.0002143912,0.00002933471,0.0002030299,0.00006470722,0.009410551],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007518156,"threshold_uncertainty_score":0.02515072,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06798706020859939,"score_gpt":0.3226392893095558,"score_spread":0.2546522291009564,"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."}}