{"id":"W2567509653","doi":"10.1007/s00039-018-0446-y","title":"Hyperbolic and Parabolic Unimodular Random Maps","year":2018,"lang":"en","type":"preprint","venue":"Geometric and Functional Analysis","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria; University of British Columbia","funders":"Engineering and Physical Sciences Research Council","keywords":"Unimodular matrix; Bernoulli's principle; Mathematics; Curvature; Limit (mathematics); Percolation (cognitive psychology); Conformal map; Random walk; Probabilistic logic; Combinatorics; Random graph; Central limit theorem; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry; Physics; Graph; Statistics","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":[0.001945585,0.001719538,0.001034606,0.00255439,0.001272296,0.003434255,0.001479676,0.003067274,0.007131037],"category_scores_gemma":[0.01017974,0.0006759862,0.0008712839,0.001317382,0.003839188,0.005361137,0.003151363,0.002470246,0.0006193202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002023804,"about_ca_system_score_gemma":0.001172682,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002561728,"about_ca_topic_score_gemma":0.001429004,"domain_scores_codex":[0.9990693,0.0003830605,0.00004212876,0.0001964066,0.0002140989,0.00009501525],"domain_scores_gemma":[0.9965878,0.001591447,0.0005810215,0.0002280979,0.0004780227,0.0005335666],"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":[0.00001250889,0.00001054597,0.0002421819,0.00002556735,0.000009094609,0.00005204271,0.00007091861,0.002507386,0.0002318405,0.9943507,0.001035524,0.001451781],"study_design_scores_gemma":[0.000008626213,0.00000636721,0.0002133491,0.000008352658,0.00000599546,0.00006453003,0.00004372613,0.02916505,0.00009169197,0.9688974,0.001483446,0.0000113931],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4273647,0.007124016,0.4650236,0.02246745,0.001332085,0.00009598322,0.001241119,0.0004355469,0.07491546],"genre_scores_gemma":[0.9103253,0.002767015,0.0206337,0.001468279,0.001959241,0.00008695011,0.0005339986,0.0001923028,0.06203333],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007131037,"threshold_uncertainty_score":0.02385569,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04179898070759126,"score_gpt":0.2784765178565404,"score_spread":0.2366775371489491,"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."}}