{"id":"W2751775677","doi":"10.1017/etds.2017.63","title":"Hausdorff dimension of invariant measure of circle diffeomorphisms with a break point","year":2017,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Hausdorff dimension; Diffeomorphism; Unicode; Irrational number; Invariant (physics); Pure mathematics; Dimension (graph theory); Combinatorics; Geometry; Mathematical 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":[0.0006218982,0.0006054352,0.0005716695,0.003006182,0.0008645942,0.001777271,0.0008744627,0.0004255473,0.001922647],"category_scores_gemma":[0.00266856,0.0002118217,0.0005676424,0.0006870624,0.002207599,0.001810882,0.001479151,0.0007870871,0.0002283274],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001205648,"about_ca_system_score_gemma":0.0002764131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007054314,"about_ca_topic_score_gemma":0.0002294282,"domain_scores_codex":[0.9995329,0.00007289718,0.00002704168,0.0001119119,0.0001365866,0.0001186558],"domain_scores_gemma":[0.9977019,0.000689814,0.0006608726,0.0001851776,0.0002137179,0.0005484017],"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":[0.0001926967,0.00005877861,0.008635653,0.0001167123,0.00009686536,0.000409022,0.0005515823,0.01071198,0.01159327,0.9569889,0.001199277,0.00944524],"study_design_scores_gemma":[0.00006135923,0.0003780245,0.02650164,0.00005584446,0.0001295232,0.001477988,0.0006485186,0.1693453,0.01706119,0.7761463,0.008034694,0.0001595586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.954945,0.0008566583,0.03272065,0.0002546325,0.00006500207,0.00001309091,0.0001689077,0.00008454519,0.01089151],"genre_scores_gemma":[0.9954422,0.0002947547,0.00278778,0.00002726177,0.00006826406,0.0000206459,0.0001264931,0.00001591661,0.001216737],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003006182,"threshold_uncertainty_score":0.008747637,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01637108259600917,"score_gpt":0.2522633094285543,"score_spread":0.2358922268325452,"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."}}