{"id":"W4226363176","doi":"10.1214/23-ecp531","title":"The scaling limit of the weakly self-avoiding walk on a high-dimensional torus","year":2023,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Torus; Scaling; Scaling limit; Brownian motion; Limit (mathematics); Constant (computer programming); Random walk; Mathematics; Self-avoiding walk; Diffusion; Physics; Statistical physics; Mathematical analysis; Geometry; Quantum mechanics","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":[0.0002058128,0.0002520252,0.0002443961,0.0004558181,0.0004282007,0.000753482,0.0003498621,0.0002525684,0.001738986],"category_scores_gemma":[0.001831357,0.0001112305,0.0003224316,0.0002122107,0.000915043,0.0009807878,0.0006636812,0.0004492497,0.0002017813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004333022,"about_ca_system_score_gemma":0.0002270312,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005474498,"about_ca_topic_score_gemma":0.0003216772,"domain_scores_codex":[0.9998963,0.00002645346,0.000006237133,0.00002226882,0.00002399618,0.0000248313],"domain_scores_gemma":[0.9994018,0.0001558723,0.0001492929,0.00005632942,0.00008479061,0.0001519149],"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":[0.0001191029,0.00005357046,0.004379858,0.0001290657,0.00004123155,0.0009842969,0.0005989377,0.0626985,0.04634012,0.8756443,0.001330192,0.007680812],"study_design_scores_gemma":[0.00002685626,0.0002507968,0.005299979,0.00003791676,0.00002908449,0.0007119869,0.0003467328,0.5873515,0.009519232,0.3928891,0.003486997,0.00004979583],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8531766,0.0003033477,0.1306081,0.0003293903,0.00008229359,0.00002619769,0.00005321016,0.00009909485,0.01532179],"genre_scores_gemma":[0.9917653,0.0001570892,0.005890549,0.00003520235,0.00002898523,0.00002860689,0.00002617101,0.00001573831,0.002052329],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001738986,"threshold_uncertainty_score":0.005817533,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05723642464083316,"score_gpt":0.3327494278319136,"score_spread":0.2755130031910805,"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."}}