{"id":"W2020778082","doi":"10.1007/s00220-004-1273-6","title":"Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations","year":2005,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"Bell (Canada)","funders":"","keywords":"Mathematics; Mathematical analysis; Hamiltonian (control theory); Partial differential equation; Hamiltonian system; Statistical physics; Physics","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":[0.001891922,0.001102473,0.001845406,0.00139095,0.001012838,0.002770676,0.002132377,0.002787729,0.002636021],"category_scores_gemma":[0.01525617,0.0008464786,0.0009104494,0.0007718657,0.004000107,0.004413297,0.002521315,0.002004966,0.0002113378],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001702361,"about_ca_system_score_gemma":0.0009032553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003661112,"about_ca_topic_score_gemma":0.001573354,"domain_scores_codex":[0.9992453,0.0003608881,0.0000376406,0.00009084297,0.0001718767,0.00009353546],"domain_scores_gemma":[0.9943294,0.003449014,0.0007838844,0.0002579615,0.0005369298,0.00064279],"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":[0.0002120486,0.00009472257,0.0009115156,0.0001548124,0.0001031318,0.0007262974,0.0004585237,0.197597,0.008152714,0.7866413,0.001716778,0.003231241],"study_design_scores_gemma":[0.00005352964,0.00003047111,0.0002820842,0.000009973228,0.00001511028,0.0001104167,0.0000446776,0.8209152,0.0003556112,0.1777991,0.0003509152,0.0000329935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.632379,0.002744814,0.327363,0.008091656,0.0009955636,0.0001785455,0.0002996424,0.0004333886,0.02751442],"genre_scores_gemma":[0.9713278,0.001027588,0.01223149,0.0004568677,0.0003915451,0.00007720472,0.0001072454,0.000153319,0.01422708],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003661112,"threshold_uncertainty_score":0.01235163,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02647443413380049,"score_gpt":0.2987352152139873,"score_spread":0.2722607810801868,"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."}}