{"id":"W2043765682","doi":"10.1155/imrn/2006/24947","title":"Second-order asymptotics for the fast-diffusion equation","year":2006,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Dissipative system; Convexity; Dissipation; Order (exchange); Mathematical physics; Mathematical analysis; Center of mass (relativistic); Entropy (arrow of time); Diffusion; Combinatorics; Physics; Classical mechanics; 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":[0.001532544,0.0008118717,0.0006590189,0.00142563,0.0008871505,0.001535422,0.000807766,0.000921597,0.004086892],"category_scores_gemma":[0.008276501,0.0002756952,0.0008397575,0.0005134842,0.002146776,0.002789356,0.001715476,0.002209046,0.0005438593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002015477,"about_ca_system_score_gemma":0.0009987592,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006169164,"about_ca_topic_score_gemma":0.002943188,"domain_scores_codex":[0.9996363,0.00008552216,0.00001530815,0.00004982463,0.0001504337,0.00006275179],"domain_scores_gemma":[0.9970986,0.001447143,0.0003978628,0.0001696692,0.0006040338,0.0002827703],"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":[0.00003241819,0.00001726454,0.001039872,0.0001019814,0.00002755674,0.0002080021,0.0002288925,0.02582723,0.002883276,0.9645548,0.001575477,0.003503246],"study_design_scores_gemma":[0.00002111488,0.00003409139,0.001419834,0.00006010012,0.00001802534,0.000185466,0.0001007874,0.5400366,0.0009145003,0.4530133,0.004163902,0.00003237796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2728066,0.00978997,0.5934294,0.009811701,0.0006231925,0.00009681848,0.0004589654,0.0007857587,0.1121976],"genre_scores_gemma":[0.940719,0.003156737,0.02063587,0.0006803045,0.0003903368,0.0001322287,0.0003432802,0.0002095089,0.03373262],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006169164,"threshold_uncertainty_score":0.01462334,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08677497525863273,"score_gpt":0.3746737044915231,"score_spread":0.2878987292328904,"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."}}