{"id":"W2093715253","doi":"10.1007/s002220100139","title":"Manifolds and graphs with slow heat kernel decay","year":2001,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":121,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Heat kernel; Mathematics; Kernel (algebra); Upper and lower bounds; Pure mathematics; Combinatorics; Mathematical analysis","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":[0.001403695,0.001151444,0.001446489,0.003835008,0.00210988,0.004703405,0.001295782,0.002789632,0.006946788],"category_scores_gemma":[0.008184801,0.0006952381,0.001074169,0.001888407,0.004853028,0.009779756,0.002957864,0.004040241,0.0006673692],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002215563,"about_ca_system_score_gemma":0.0007723814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001322462,"about_ca_topic_score_gemma":0.001042055,"domain_scores_codex":[0.9994437,0.0001919207,0.00002475892,0.000123917,0.0001235045,0.00009205514],"domain_scores_gemma":[0.9967892,0.001485201,0.0004401451,0.0004386727,0.0004116673,0.0004352259],"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":[0.00001109587,0.000005253263,0.00009518714,0.00001519567,0.000003269792,0.00002093858,0.0001238134,0.000612858,0.0002002271,0.9973702,0.0004995168,0.001042454],"study_design_scores_gemma":[0.000005526006,0.000006617045,0.0001637818,0.000005563306,0.000004245523,0.00004442302,0.00003913698,0.004025682,0.00008963526,0.9944248,0.001183138,0.000007376216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6460917,0.009738584,0.2453975,0.01228965,0.00122261,0.00009070016,0.0005009022,0.0008318079,0.08383638],"genre_scores_gemma":[0.945028,0.00310986,0.02138912,0.0008895245,0.001423441,0.0001193807,0.0002360206,0.0002803544,0.02752441],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006946788,"threshold_uncertainty_score":0.02323937,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03232686512160141,"score_gpt":0.270671195042392,"score_spread":0.2383443299207905,"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."}}