{"id":"W4285335863","doi":"10.1090/tran/9087","title":"Convergence rate to equilibrium for conservative scattering models on the torus: a new tauberian approach","year":2023,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; Grantová Agentura České Republiky; Leibniz-Gemeinschaft; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Torus; Convergence (economics); Rate of convergence; Mathematics; Scattering; Physics; Applied mathematics; Statistical physics; Economics; Computer science; Geometry; Quantum mechanics; Telecommunications; Macroeconomics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004026276,0.0009383373,0.00107067,0.002756072,0.001599843,0.002875139,0.002302383,0.001627138,0.009978062],"category_scores_gemma":[0.01519697,0.000446406,0.00158441,0.0008076748,0.003622103,0.006321225,0.003040274,0.002648315,0.000995495],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002661615,"about_ca_system_score_gemma":0.00137065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002405709,"about_ca_topic_score_gemma":0.001270527,"domain_scores_codex":[0.9988821,0.0004719338,0.00004588291,0.000151755,0.0002812634,0.000167062],"domain_scores_gemma":[0.9935762,0.003744189,0.000553188,0.0005319444,0.0009584766,0.0006360424],"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":[0.00002104995,0.00001264253,0.0002372478,0.00004481522,0.000007606386,0.00004956015,0.0001335116,0.01468562,0.0005044172,0.9816235,0.0008195417,0.001860503],"study_design_scores_gemma":[0.00000815755,0.00002345118,0.0001432595,0.00002668961,0.000008672411,0.00005022144,0.00008012966,0.2920629,0.000434313,0.705878,0.001267244,0.0000168954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.141936,0.001634711,0.7636288,0.003932228,0.0003812521,0.0000985848,0.0002383257,0.0006915696,0.08745854],"genre_scores_gemma":[0.9003455,0.001868913,0.05969533,0.0006399943,0.0005501164,0.0002922027,0.000296026,0.0007228378,0.03558918],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009978062,"threshold_uncertainty_score":0.03337991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08822346248427326,"score_gpt":0.3211002511249171,"score_spread":0.2328767886406438,"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."}}