{"id":"W1966930258","doi":"10.1023/b:pota.0000021337.13730.8c","title":"Generalized Mehler Semigroups and Catalytic Branching Processes with Immigration","year":2004,"lang":"en","type":"article","venue":"Potential Analysis","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":37,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta; Carleton University","funders":"","keywords":"Mathematics; Semigroup; Skew; Convolution (computer science); Separable space; Pure mathematics; Differentiable function; Ornstein–Uhlenbeck process; Mathematical analysis; Stochastic process","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009679169,0.0001276601,0.0003231037,0.0002579743,0.0001970813,0.00009564529,0.0001037235,0.00005100642,0.00002378766],"category_scores_gemma":[0.00003671509,0.0001211294,0.00008161591,0.001279302,0.00004825385,0.0002709597,0.00002659882,0.00006273529,0.00004066251],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000340881,"about_ca_system_score_gemma":0.00003460698,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002718907,"about_ca_topic_score_gemma":0.00115476,"domain_scores_codex":[0.9990808,0.000001402454,0.0003131017,0.0003818399,0.00004515304,0.0001776676],"domain_scores_gemma":[0.9994794,0.00001214329,0.0002060143,0.000177549,0.00005984736,0.00006507088],"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":[0.00006864615,0.0002321027,0.008430552,0.0001543711,0.001449238,0.000006968573,0.001387701,0.02347357,0.0003812842,0.962983,0.00001518763,0.001417344],"study_design_scores_gemma":[0.003606815,0.0002321135,0.09848936,0.00006998238,0.002691229,0.00003773979,0.0003346919,0.02449151,0.001430933,0.8655745,0.001393839,0.001647337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2404671,0.001315616,0.7571312,0.0006790888,0.00001867301,0.00009350808,0.00005170158,0.00002973597,0.0002134518],"genre_scores_gemma":[0.9948062,0.0001635443,0.004609481,0.0001206214,0.00007764367,0.00004552116,0.00009041588,0.00001269689,0.00007391282],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7543391,"threshold_uncertainty_score":0.4939515,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008976113707372892,"score_gpt":0.1923825794486764,"score_spread":0.1834064657413035,"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."}}