{"id":"W4407560837","doi":"10.4171/owr/2024/42","title":"Recent Developments in Dirichlet Form Theory and Related Fields","year":2025,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Research Institute for Mathematical Sciences; Canada Research Chairs; Japan Society for the Promotion of Science; Fukuoka University; Central Research Institute, Fukuoka University; Natural Sciences and Engineering Research Council of Canada","keywords":"Dirichlet distribution; Mathematics; Applied mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006566753,0.000108093,0.0001515038,0.0001171276,0.00004161239,0.00003572341,0.0001525121,0.00007772806,0.000005547443],"category_scores_gemma":[0.0004867232,0.00009943533,0.00001758793,0.0003574645,0.00001646508,0.000208103,0.0002410572,0.0001655041,0.000002246318],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006626229,"about_ca_system_score_gemma":0.00004562161,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001632371,"about_ca_topic_score_gemma":0.000002249704,"domain_scores_codex":[0.998917,0.00002151951,0.0004148703,0.0003098191,0.0001262807,0.0002105285],"domain_scores_gemma":[0.9993251,0.0001524932,0.00006603199,0.0003760757,0.00003425023,0.00004603425],"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":[0.000007342057,0.0001129235,0.003603433,0.0001220932,0.00004425917,0.0007832317,0.001477441,0.006732801,0.0001963338,0.561312,0.000220094,0.425388],"study_design_scores_gemma":[0.0002349543,0.00001431328,0.007598796,0.0002424139,0.000006231124,0.0002224873,0.0000202428,0.03675677,0.0009253505,0.9465187,0.007183302,0.0002764195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04472738,0.0005815559,0.9238492,0.0002998178,0.0004484596,0.0001720691,8.235798e-8,0.0001643903,0.02975705],"genre_scores_gemma":[0.9147007,0.0001258008,0.0834314,0.0001597167,0.000003757662,0.0000280189,0.000001029519,0.000007407426,0.001542123],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8699734,"threshold_uncertainty_score":0.4054855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009490170868993031,"score_gpt":0.2505401165203576,"score_spread":0.2410499456513646,"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."}}