{"id":"W2785443577","doi":"10.1007/s00440-019-00939-9","title":"A characterisation of the Gaussian free field","year":2019,"lang":"en","type":"article","venue":"Probability Theory and Related Fields","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Engineering and Physical Sciences Research Council; Universität Wien; National Centres of Competence in Research SwissMAP","keywords":"Gaussian free field; Gaussian; Markov chain; Markov property; Gaussian random field; Invariant (physics); Domain (mathematical analysis); Mathematical finance; Random field; Moment (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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006202571,0.00007292462,0.0001441893,0.00001198331,0.00004200112,0.000007509653,0.0001517055,0.0001932439,0.0004499156],"category_scores_gemma":[0.002567567,0.00004345172,0.00004813297,0.00007883726,0.00004755055,0.00003653998,0.00009319903,0.0002408345,0.000005320287],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005917638,"about_ca_system_score_gemma":0.00001787714,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000271437,"about_ca_topic_score_gemma":0.000002099662,"domain_scores_codex":[0.999336,0.0001082559,0.0002281336,0.0001371599,0.00009445706,0.00009597732],"domain_scores_gemma":[0.9982052,0.001271582,0.00009488517,0.0003647031,0.00003718217,0.00002648614],"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":[0.00007549911,0.00004276052,0.0001804463,0.0002342755,0.00001896598,2.068543e-7,0.0007090185,6.816421e-7,0.0001696448,0.9959365,0.00003578253,0.00259619],"study_design_scores_gemma":[0.0002200029,0.000115827,0.0005091261,0.00007287078,0.00003047664,0.000005694606,0.00006915867,0.0003843234,0.001214558,0.9972929,0.00002603383,0.0000589697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9182232,0.00007656898,0.06527974,0.001885027,0.0004755957,0.0006232023,0.00001340562,0.00004019694,0.01338309],"genre_scores_gemma":[0.9983924,0.000006644853,0.0008227412,0.0001078253,0.000009026789,0.000005474318,5.7968e-7,0.00000501756,0.0006502669],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08016925,"threshold_uncertainty_score":0.492626,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01279424179854039,"score_gpt":0.2517015093851024,"score_spread":0.238907267586562,"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."}}