{"id":"W4402509780","doi":"10.1007/s00220-024-05101-8","title":"Existence of the Free Energy for Heavy-Tailed Spin Glasses","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Spin glass; Complex system; Energy (signal processing); Physics; Spin (aerodynamics); Statistical physics; Mathematics; Condensed matter physics; Quantum mechanics; Thermodynamics; Computer science","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":[0.001126118,0.0005389102,0.0009072428,0.002577005,0.001512116,0.002188362,0.00122332,0.002213237,0.004454419],"category_scores_gemma":[0.005406133,0.0006500373,0.0005718883,0.0006119165,0.004044169,0.00301592,0.002589785,0.002113629,0.000424288],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009327057,"about_ca_system_score_gemma":0.000773922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007970226,"about_ca_topic_score_gemma":0.001135492,"domain_scores_codex":[0.9996589,0.0000995376,0.00001721136,0.00006219957,0.00007308137,0.00008916146],"domain_scores_gemma":[0.9969305,0.001691045,0.0002870624,0.0002717857,0.000282139,0.0005375659],"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":[0.00008579702,0.00004521048,0.0005792523,0.0001431542,0.00002047204,0.0001000695,0.0001653649,0.004798151,0.004141631,0.9854445,0.001654131,0.00282217],"study_design_scores_gemma":[0.00001731534,0.00001158524,0.0006346432,0.00002546416,0.000006330364,0.00007290531,0.00005681468,0.03098848,0.000640892,0.9670775,0.0004459681,0.00002221001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8347241,0.002989852,0.1016571,0.006520694,0.0004717092,0.00005865869,0.0004307099,0.0005730562,0.05257418],"genre_scores_gemma":[0.9879895,0.0003991665,0.005901129,0.0004065736,0.0002279007,0.00004225133,0.0001682164,0.00008103984,0.004784261],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004454419,"threshold_uncertainty_score":0.01490146,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03146328245650069,"score_gpt":0.317548785225618,"score_spread":0.2860855027691173,"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."}}