{"id":"W2951778172","doi":"10.48550/arxiv.1208.3513","title":"Expansion in high dimension for the growth constants of lattice trees and lattice animals","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lattice (music); Integer lattice; Lattice constant; Mathematics; Combinatorics; Lattice model (finance); Pure mathematics; Condensed matter physics; Statistical physics; Physics; Quantum mechanics; Half-integer; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002723161,0.001047933,0.0007381394,0.002782478,0.0006306385,0.001412416,0.001406222,0.001068252,0.004108183],"category_scores_gemma":[0.01188055,0.0002940912,0.0008233552,0.0008536202,0.002714189,0.002969975,0.002194772,0.002280285,0.001203422],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001613487,"about_ca_system_score_gemma":0.0007747123,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002896065,"about_ca_topic_score_gemma":0.003011282,"domain_scores_codex":[0.9994893,0.000142511,0.00002270542,0.00004728444,0.000223661,0.0000745021],"domain_scores_gemma":[0.9960289,0.002537987,0.0003310803,0.0003123993,0.0005238341,0.0002657855],"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":[0.0001160583,0.00008453499,0.002031818,0.0002635223,0.00003847624,0.000251626,0.0003745182,0.12092,0.004560463,0.849543,0.004160385,0.01765553],"study_design_scores_gemma":[0.00003056384,0.00002072424,0.0009380766,0.0000663399,0.00001967463,0.0001299287,0.00008919426,0.718307,0.002559556,0.2752925,0.002490431,0.00005593117],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.27557,0.002733736,0.6687893,0.002693413,0.0005219171,0.0001075664,0.0004473704,0.001187608,0.04794911],"genre_scores_gemma":[0.8613867,0.001318192,0.1185548,0.0006185001,0.0003548744,0.0003077967,0.0004367908,0.0006634728,0.01635893],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004108183,"threshold_uncertainty_score":0.01440161,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1233137377912762,"score_gpt":0.247588617228952,"score_spread":0.1242748794376758,"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."}}