{"id":"W2897666743","doi":"10.48550/arxiv.1810.07891","title":"Excursions of generic geodesics in right-angled Artin groups and graph products","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Mathematics; Excursion; Geodesic; Cusp (singularity); Artin group; Graph; Group (periodic table); Distribution (mathematics); Free product; Pure mathematics; Combinatorics; Geometry; Mathematical analysis; Weyl group","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001023498,0.0004509275,0.0006155244,0.003552384,0.001061677,0.0020811,0.0009786857,0.000642926,0.003489299],"category_scores_gemma":[0.007508051,0.0002870013,0.0005679698,0.0008554453,0.00322312,0.002798674,0.001712312,0.001005344,0.0003238027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001170639,"about_ca_system_score_gemma":0.0002617877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001018514,"about_ca_topic_score_gemma":0.0006998702,"domain_scores_codex":[0.9994553,0.0001244923,0.00003131341,0.0001454647,0.0001381189,0.0001054065],"domain_scores_gemma":[0.9961112,0.001195249,0.0008363171,0.0004545691,0.0004062054,0.0009964374],"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":[0.0002114657,0.00006035007,0.01659555,0.0001006384,0.00003227538,0.0006007224,0.001384698,0.01215674,0.01218077,0.9422942,0.0009705558,0.0134121],"study_design_scores_gemma":[0.000034532,0.0001842187,0.02176102,0.00009217926,0.00003266635,0.00161353,0.0009699852,0.1038077,0.006303573,0.8604829,0.004637423,0.00008025111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9685007,0.0003627268,0.02543436,0.0002057002,0.00002352877,0.00001195004,0.00008654452,0.0001187134,0.00525574],"genre_scores_gemma":[0.9951633,0.0001890001,0.002784241,0.00002513538,0.00007788133,0.00001697433,0.0001467749,0.00004524174,0.001551479],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003552384,"threshold_uncertainty_score":0.01167279,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1080516788090303,"score_gpt":0.2129366233782924,"score_spread":0.104884944569262,"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."}}