{"id":"W2093467695","doi":"10.4171/ggd/119","title":"Scale-invariant groups","year":2011,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund; Microsoft Research; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Combinatorics; Invariant (physics); Conjecture; Abelian group; Nilpotent; Scale invariance; Finite type invariant; Cayley graph; Discrete mathematics; Pure mathematics; Invariant polynomial; Polynomial; Mathematical analysis","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":[0.0004419747,0.0003710374,0.0003404123,0.001031405,0.0007990687,0.001140464,0.0005286552,0.0005611997,0.002799703],"category_scores_gemma":[0.001503899,0.0001534694,0.0005872513,0.0004025096,0.003054882,0.00220114,0.001285811,0.001008739,0.0003277114],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008632639,"about_ca_system_score_gemma":0.0003091549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004095093,"about_ca_topic_score_gemma":0.0002596128,"domain_scores_codex":[0.9996026,0.00006732283,0.00001908368,0.0001200448,0.0001198317,0.00007107229],"domain_scores_gemma":[0.9993198,0.0001362338,0.0001406976,0.0001932274,0.00008187335,0.0001282512],"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":[0.000005752618,0.000006519404,0.0001339554,0.000008586151,0.0000035699,0.00003123425,0.0001330053,0.0004986364,0.001334196,0.9954856,0.0002468987,0.00211209],"study_design_scores_gemma":[0.00001013529,0.00002039264,0.0003534589,0.000004768463,0.000004263646,0.00007496,0.00005168386,0.005092783,0.001105899,0.9883236,0.004949326,0.000008743905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6016293,0.002050819,0.2496237,0.003060913,0.0005581872,0.0001295443,0.0002875538,0.0005228533,0.1421371],"genre_scores_gemma":[0.9717443,0.0003255179,0.01783318,0.0002829983,0.0003510578,0.00006004067,0.00012022,0.00005386508,0.009228836],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002799703,"threshold_uncertainty_score":0.009365916,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0300333642974965,"score_gpt":0.2661909267735869,"score_spread":0.2361575624760903,"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."}}