{"id":"W7101443289","doi":"10.1007/978-3-031-90135-5_11","title":"Sharp Estimates for the Opdam-Cherednik W-Invariant Heat Kernel for the Root System $$A_1$$","year":2025,"lang":"en","type":"book-chapter","venue":"","topic":"Medical History and Innovations","field":"Arts and Humanities","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Laurentian University","funders":"","keywords":"Heat kernel; Kernel (algebra); Invariant (physics); Multiplicity (mathematics); Variable kernel density estimation; Root (linguistics)","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":[0.003223975,0.001611923,0.001006053,0.002740914,0.001114009,0.002583057,0.002174887,0.001935703,0.01532339],"category_scores_gemma":[0.01760656,0.0006526592,0.001395321,0.001146558,0.003551765,0.005581963,0.002675971,0.006894694,0.003266515],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001796164,"about_ca_system_score_gemma":0.001053665,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002368083,"about_ca_topic_score_gemma":0.002106633,"domain_scores_codex":[0.9994349,0.0002032025,0.00002710409,0.0001123594,0.0001584878,0.00006405636],"domain_scores_gemma":[0.99502,0.003205444,0.0002485635,0.0003620829,0.0008733728,0.0002904275],"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":[0.0000145644,0.00001419205,0.00008794705,0.0001244565,0.00001296766,0.00002407349,0.00008611794,0.002820803,0.0012863,0.9782969,0.008148462,0.009083247],"study_design_scores_gemma":[0.000005860607,0.00001987176,0.0005181753,0.00006842331,0.00001764603,0.00009128647,0.00007269432,0.05974876,0.0008205205,0.9234124,0.01518283,0.00004153937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01239869,0.008657809,0.8771251,0.004561268,0.002060238,0.00007507651,0.0004556168,0.0004776172,0.09418865],"genre_scores_gemma":[0.4682868,0.01439641,0.3023277,0.003276461,0.005227141,0.0006693357,0.00111349,0.002573584,0.202129],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01532339,"threshold_uncertainty_score":0.0512619,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06736885962821333,"score_gpt":0.2489857181149722,"score_spread":0.1816168584867588,"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."}}