{"id":"W3158683342","doi":"10.1007/s00222-022-01148-3","title":"On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions","year":2022,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Canada Research Chairs; Japan Society for the Promotion of Science; Research Institute for Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Infimum and supremum; Harnack's inequality; Hausdorff dimension; Conformal map; Dimension (graph theory); Harnack's principle; Mathematical analysis; Combinatorics; Pure mathematics","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":[0.00186242,0.0003876551,0.0006645562,0.001508462,0.001270009,0.002698844,0.000750917,0.000780218,0.004951415],"category_scores_gemma":[0.007244102,0.0002550385,0.000638714,0.0005943562,0.003014009,0.004332033,0.002549608,0.001561985,0.0002465469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001467164,"about_ca_system_score_gemma":0.000508174,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007453567,"about_ca_topic_score_gemma":0.0006002277,"domain_scores_codex":[0.9988055,0.0002771215,0.00008334577,0.0003033372,0.0002547974,0.000275875],"domain_scores_gemma":[0.994864,0.002230295,0.0007291971,0.000470797,0.0006534455,0.001052174],"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":[0.00003008036,0.00001041684,0.0006802863,0.00002386825,0.000005755579,0.00005653789,0.0000745815,0.002061116,0.00159627,0.9931307,0.0002548952,0.0020754],"study_design_scores_gemma":[0.00002287904,0.00009240183,0.002249253,0.00003434125,0.00001246094,0.0002469172,0.000188811,0.06344225,0.003044763,0.9275183,0.00310056,0.00004704496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.71253,0.00137457,0.2339656,0.00155463,0.0002107047,0.00006592093,0.0003350894,0.0001734244,0.04979009],"genre_scores_gemma":[0.9886711,0.0001955839,0.008351988,0.0001385318,0.000112952,0.00003945162,0.0001033674,0.00002481898,0.002362317],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004951415,"threshold_uncertainty_score":0.01656413,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06170994960427008,"score_gpt":0.2929521107342916,"score_spread":0.2312421611300215,"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."}}