{"id":"W2020134176","doi":"10.1017/s0143385701001055","title":"Minimal entropy rigidity for Finsler manifolds of negative flag curvature","year":2001,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Flag (linear algebra); Rigidity (electromagnetism); Curvature; Pure mathematics; Manifold (fluid mechanics); Entropy (arrow of time); Ricci curvature; Negative curvature; Mathematical analysis; Geometry; Algebra over a field; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003649782,0.0001683883,0.0003360694,0.00005893007,0.0001135376,0.0000346061,0.0001500201,0.0000866982,0.0002660154],"category_scores_gemma":[0.00005458332,0.0001327681,0.0001172179,0.000145684,0.0001634448,0.00009959095,0.00007004901,0.0001792105,0.000009763942],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001988735,"about_ca_system_score_gemma":0.00002286409,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005930111,"about_ca_topic_score_gemma":0.00000245808,"domain_scores_codex":[0.9987195,0.0002206139,0.0002757665,0.0002805188,0.0001812745,0.0003223444],"domain_scores_gemma":[0.9987682,0.0007075804,0.0001134141,0.0001919463,0.00008271857,0.0001361475],"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":[0.001320523,0.0002247739,0.01534442,0.0001211433,0.0001835918,0.000002982728,0.000167075,0.0001352157,0.00398891,0.9743749,0.0002074928,0.003928963],"study_design_scores_gemma":[0.01110853,0.001635494,0.03161187,0.0005433219,0.0003547177,0.00003074774,0.004471904,0.0578062,0.005087572,0.8591783,0.02646422,0.001707119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.817602,0.0002088071,0.1795247,0.00002490777,0.0002332225,0.000470142,0.0002641602,0.00001852862,0.001653526],"genre_scores_gemma":[0.996159,0.000005692388,0.0001994894,0.000006085746,0.0003604239,0.00006187319,0.00005931086,0.00001641495,0.003131684],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1793252,"threshold_uncertainty_score":0.5414128,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01076006403457237,"score_gpt":0.2789080481869267,"score_spread":0.2681479841523543,"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."}}