{"id":"W2609805933","doi":"10.1090/crmp/028/03","title":"An application of Gelfand pairs to a problem of diffusion in compact ultrametric spaces","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Ultrametric space; Diffusion; Mathematics; Computer science; Pure mathematics; Physics; Metric space; Thermodynamics","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":[0.003015689,0.001948553,0.00197914,0.003738781,0.001809048,0.002685205,0.00159472,0.003445274,0.004533295],"category_scores_gemma":[0.01012272,0.000950451,0.002773188,0.002557321,0.004412019,0.00620317,0.004755538,0.005028645,0.0003339887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002115762,"about_ca_system_score_gemma":0.0008061976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001570488,"about_ca_topic_score_gemma":0.0009677067,"domain_scores_codex":[0.9990773,0.000523448,0.00005428418,0.0001398344,0.0001521066,0.00005293756],"domain_scores_gemma":[0.996675,0.002538651,0.0001622918,0.000127047,0.0002360809,0.0002609345],"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":[0.00002033927,0.0000180188,0.0001122326,0.0001141324,0.00003029339,0.0001224173,0.0001945722,0.005252306,0.0005387123,0.9863086,0.001612765,0.00567574],"study_design_scores_gemma":[0.00001703674,0.00003029462,0.000120785,0.0000327717,0.0000159405,0.0001544561,0.00006577649,0.02937762,0.0001841889,0.9651955,0.004784872,0.00002073659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04952774,0.01755784,0.8525561,0.009705744,0.002411506,0.00008556928,0.0001790803,0.000224014,0.0677525],"genre_scores_gemma":[0.5484239,0.02058674,0.3751268,0.002342451,0.005100905,0.000348131,0.0002465628,0.0003031789,0.04752125],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004533295,"threshold_uncertainty_score":0.01594865,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01318188411334318,"score_gpt":0.2463633077264612,"score_spread":0.2331814236131181,"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."}}