{"id":"W1974175925","doi":"10.4153/cmb-2012-022-6","title":"A Lower Bound for the End-to-End Distance of the Self-Avoiding Walk","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Exponent; Upper and lower bounds; Combinatorics; Constant (computer programming); Lattice (music); Discrete mathematics; Mathematical analysis; Physics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000999664,0.0002061221,0.0003264949,0.00004082167,0.0003923584,0.0000532499,0.0005373101,0.00009803768,0.002823909],"category_scores_gemma":[0.007750604,0.000119268,0.0001481651,0.000204802,0.0001167706,0.00002396475,0.00007683778,0.0002274297,0.0004042292],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001607207,"about_ca_system_score_gemma":0.0002025492,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001134169,"about_ca_topic_score_gemma":0.0005605905,"domain_scores_codex":[0.9982636,0.00005124599,0.0004313908,0.0001927802,0.0003346022,0.0007264015],"domain_scores_gemma":[0.9936327,0.005049959,0.0001178508,0.0005494865,0.0001248026,0.0005251713],"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":[0.00001099662,0.00007235145,0.000003584633,0.0003251019,0.00004062261,0.000001129458,0.0007199865,7.767351e-7,0.00002763805,0.9802597,0.01788666,0.0006514923],"study_design_scores_gemma":[0.0002810035,0.00007304698,0.00003572433,0.0002541894,0.0002302083,0.00002534589,0.0004868374,0.001879716,0.0003560526,0.8104467,0.1856363,0.0002949427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008478215,0.0002566919,0.9680352,0.01403342,0.0006278452,0.001732083,0.000310665,0.00005471664,0.006471166],"genre_scores_gemma":[0.9690497,0.000002459062,0.0282715,0.001004111,0.0001877141,0.0002048187,0.000001159465,0.0000510006,0.001227521],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9605715,"threshold_uncertainty_score":0.9980876,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02942173326469944,"score_gpt":0.2743319843753566,"score_spread":0.2449102511106572,"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."}}