{"id":"W4393139439","doi":"10.1007/s00209-024-03460-5","title":"Random group actions on $$\\textrm{CAT}(0)$$ square complexes","year":2024,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Square (algebra); Group (periodic table); Combinatorics; Pure mathematics; Geometry; Quantum mechanics; Physics","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":[0.0008920702,0.0008595028,0.0007685851,0.002285985,0.00153149,0.003868188,0.001235485,0.001813725,0.0154507],"category_scores_gemma":[0.003610062,0.0006183482,0.0006617259,0.0009040767,0.002796595,0.002712418,0.002745241,0.001429006,0.001821869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00107104,"about_ca_system_score_gemma":0.0006310633,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008988091,"about_ca_topic_score_gemma":0.0009159746,"domain_scores_codex":[0.9987153,0.000315506,0.00004254293,0.0002075481,0.0003792349,0.0003400127],"domain_scores_gemma":[0.9977477,0.0008558055,0.000317363,0.0002271771,0.0002488005,0.0006031459],"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":[0.00008058114,0.00003482493,0.0001833996,0.00002069341,0.000007058709,0.0001350873,0.0001836312,0.001092968,0.002050446,0.9919338,0.001669042,0.002608461],"study_design_scores_gemma":[0.00006130683,0.00006431485,0.0004798301,0.0000162468,0.00001104183,0.0002374792,0.0001922373,0.02037598,0.002883045,0.9718898,0.003750306,0.00003845293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.829576,0.000380995,0.08470923,0.00193003,0.0005121366,0.0001359208,0.0003250409,0.0006207207,0.0818099],"genre_scores_gemma":[0.9532662,0.000157025,0.008141991,0.0004848407,0.0002110492,0.000129129,0.0002280803,0.0003676802,0.03701411],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0154507,"threshold_uncertainty_score":0.05168772,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04330554920111333,"score_gpt":0.2960279831808725,"score_spread":0.2527224339797591,"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."}}