{"id":"W2785486422","doi":"10.48550/arxiv.1802.03034","title":"Steep Points of Gaussian Free Fields in Any Dimension","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Analysis of environmental and stochastic processes","field":"Environmental Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hausdorff dimension; Gaussian; Gaussian free field; Dimension (graph theory); Point (geometry); Field (mathematics); Singular point of a curve; Pure mathematics; Mathematical analysis; Combinatorics; Geometry; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001483617,0.0006868453,0.0008502509,0.004116193,0.001070468,0.001793184,0.0007874648,0.0006480532,0.002150795],"category_scores_gemma":[0.007464055,0.0003827456,0.0007395913,0.0008472606,0.002825934,0.002676163,0.002175618,0.001367378,0.0001967022],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001161949,"about_ca_system_score_gemma":0.000409433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00123487,"about_ca_topic_score_gemma":0.0006842793,"domain_scores_codex":[0.9994599,0.0001298519,0.00003085511,0.0001263175,0.0001448168,0.0001082682],"domain_scores_gemma":[0.9956559,0.001789711,0.0009057054,0.0002975145,0.0005314709,0.0008195998],"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":[0.00009707108,0.00003801605,0.00469413,0.00007994435,0.00004057492,0.0002444723,0.000194246,0.02348709,0.002771758,0.9616829,0.0006600466,0.006009764],"study_design_scores_gemma":[0.00002617853,0.00008308659,0.006339014,0.00005843386,0.00002489711,0.0002984329,0.0001992783,0.158467,0.001683882,0.8309754,0.001771763,0.00007253593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8055828,0.0006768613,0.184179,0.0003638069,0.00005022482,0.00003630353,0.0004045515,0.0001646176,0.008541849],"genre_scores_gemma":[0.9835148,0.0003318892,0.01309831,0.00007484868,0.0001104501,0.00004995783,0.000373322,0.00003814564,0.002408361],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004116193,"threshold_uncertainty_score":0.008430541,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02765904206166406,"score_gpt":0.1663762363231646,"score_spread":0.1387171942615005,"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."}}