{"id":"W2145121200","doi":"10.3934/dcds.2017049","title":"Ergodic properties of folding maps on spheres","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Ergodic theory; SPHERES; Folding (DSP implementation); Statistical physics; Mathematics; Classical mechanics; Physics; Pure mathematics; Engineering; Mechanical engineering","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":[0.0004870191,0.0005165127,0.0005109936,0.00227493,0.001243585,0.001552033,0.0006636676,0.0005221706,0.002534841],"category_scores_gemma":[0.002474887,0.0002746625,0.0007197877,0.0008618122,0.001867871,0.001518145,0.001375909,0.0004876093,0.0003251369],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001104764,"about_ca_system_score_gemma":0.0003457933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001747125,"about_ca_topic_score_gemma":0.001010724,"domain_scores_codex":[0.9997289,0.00004661085,0.00002508101,0.00005514985,0.00007433016,0.00006991655],"domain_scores_gemma":[0.9985258,0.0004136911,0.0003504327,0.0001778663,0.000175969,0.0003563301],"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":[0.0003300449,0.000110519,0.00968524,0.0001486254,0.00007984944,0.001168215,0.001753265,0.0881029,0.03271505,0.8486291,0.0007796757,0.01649751],"study_design_scores_gemma":[0.00004685736,0.0002466069,0.008271732,0.00006806279,0.00004662023,0.0006661258,0.0006493584,0.3149321,0.01808672,0.6538349,0.003062989,0.00008793861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9708149,0.000218026,0.0233331,0.00008782549,0.00001648082,0.00001927492,0.0001175492,0.00007091613,0.005321938],"genre_scores_gemma":[0.9924843,0.0002407424,0.004758779,0.00001987144,0.00003211289,0.00003254182,0.000252236,0.00003805239,0.002141447],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002534841,"threshold_uncertainty_score":0.008479893,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02686793869227478,"score_gpt":0.2532148620086252,"score_spread":0.2263469233163504,"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."}}