{"id":"W4415462975","doi":"10.1017/etds.2025.10248","title":"High-order persistence of resonant caustics in perturbed circular billiards","year":2025,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"European Regional Development Fund; European Research Council","keywords":"Perturbation (astronomy); Persistence (discontinuity); Regular polygon; Polynomial; Order (exchange); Function (biology); Deformation (meteorology)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008278012,0.0002192705,0.0005598957,0.0001216229,0.00009123871,0.00004216398,0.0001874705,0.0001313841,0.00004450888],"category_scores_gemma":[0.00006230129,0.0001681749,0.0001089164,0.0003600742,0.0002223376,0.00006006052,0.00008740361,0.0002296483,0.000004847538],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005443315,"about_ca_system_score_gemma":0.00007229024,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001225865,"about_ca_topic_score_gemma":0.00001267073,"domain_scores_codex":[0.9980994,0.000409236,0.0005895611,0.0003771802,0.0001979762,0.0003266533],"domain_scores_gemma":[0.9989353,0.000453881,0.0001246798,0.0003065253,0.00007077601,0.000108846],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008983238,0.0001472622,0.01700283,0.0002605776,0.00008047911,0.000006425455,0.0002107188,0.001050449,0.001212906,0.9786124,0.0000268256,0.001299316],"study_design_scores_gemma":[0.005781041,0.0003849782,0.04489169,0.003413569,0.000353548,0.00001867088,0.01264874,0.6756326,0.0001734316,0.2497617,0.005328462,0.00161158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9266341,0.001489922,0.06864735,0.00008915338,0.0007148043,0.0003880736,0.00008776752,0.00002823812,0.001920537],"genre_scores_gemma":[0.9985791,0.00001269113,0.00005650946,0.00002283093,0.00009349811,0.00003669832,0.00002536877,0.00001335308,0.001159882],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7288507,"threshold_uncertainty_score":0.6857975,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005524558876615429,"score_gpt":0.2203408387291085,"score_spread":0.214816279852493,"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."}}