{"id":"W1931339794","doi":"10.1007/s10955-015-1433-4","title":"Representation and Poly-time Approximation for Pressure of $$\\mathbb {Z}^2$$ Lattice Models in the Non-uniqueness Region","year":2016,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Directorate for Mathematical and Physical Sciences; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Inverse temperature; Potts model; Gibbs measure; Representation (politics); Representation theorem; Lattice (music); Work (physics); Supercritical fluid","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001023801,0.00008689432,0.0003005045,0.00003808476,0.00002763798,0.00001620916,0.0001124744,0.00005061739,0.000001309237],"category_scores_gemma":[0.0007663394,0.00004813058,0.00005956183,0.00008790087,0.00007153548,0.0002400613,0.00001896901,0.00008816838,1.617132e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001581505,"about_ca_system_score_gemma":0.00003128114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000566168,"about_ca_topic_score_gemma":0.00000104119,"domain_scores_codex":[0.9988947,0.0002112964,0.0004515624,0.00009460151,0.0002394314,0.0001084393],"domain_scores_gemma":[0.9959664,0.003144258,0.000444092,0.0001506893,0.0002569011,0.00003768975],"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":[0.0004913807,0.000320214,0.0001007254,0.0007065354,0.00008689107,0.00001262326,0.002827334,0.00007544484,0.008977059,0.8990077,0.002576527,0.08481762],"study_design_scores_gemma":[0.001109128,0.0002032531,0.0002567194,0.000235235,0.0001570879,0.0000298516,0.0002291793,0.04041167,0.001795833,0.955424,0.00006081913,0.00008724058],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0252165,0.00004623977,0.9737465,0.0003873556,0.00003942579,0.0002724529,0.00003580966,0.000002882888,0.0002528253],"genre_scores_gemma":[0.7105188,0.00005035877,0.2891281,0.00003934308,0.0001424445,0.00001267421,0.000001974199,0.00001614375,0.00009015685],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6853023,"threshold_uncertainty_score":0.1962708,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09049710218915843,"score_gpt":0.3744595900846012,"score_spread":0.2839624878954428,"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."}}