{"id":"W4415926639","doi":"10.1007/s40687-025-00572-0","title":"The largest slice of fractal percolation","year":2025,"lang":"en","type":"article","venue":"Research in the Mathematical Sciences","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Magnus Ehrnroothin Säätiö","keywords":"Percolation (cognitive psychology); Fractal; Hausdorff dimension; Fractal dimension; Percolation threshold; Fractal dimension on networks; Percolation critical exponents; Cantor set; Lacunarity","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":[0.0009211738,0.0005025922,0.0009554893,0.00190424,0.001165963,0.002956838,0.0009397616,0.0008836338,0.003466483],"category_scores_gemma":[0.005699672,0.000428054,0.0005711662,0.0007116697,0.004179596,0.004413552,0.001485867,0.001521805,0.0002956263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009125307,"about_ca_system_score_gemma":0.0006006294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001243864,"about_ca_topic_score_gemma":0.0008357617,"domain_scores_codex":[0.9996291,0.0001462722,0.00001456191,0.00006904998,0.00008361712,0.00005727099],"domain_scores_gemma":[0.9961177,0.002106362,0.0003020055,0.0003564418,0.0003297862,0.000787735],"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":[0.00004468179,0.00000561074,0.0002307402,0.00003150949,0.00000742666,0.00006742909,0.00008773662,0.001598292,0.0006712463,0.9945599,0.001028169,0.001667198],"study_design_scores_gemma":[0.0000103547,0.000009846081,0.0004959874,0.00001512802,0.00000784959,0.0001319736,0.00004181957,0.009445796,0.0002359202,0.9884323,0.001163588,0.000009293341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.72332,0.007739846,0.1502968,0.007250559,0.0005958651,0.00005515852,0.0008541591,0.0006043913,0.1092833],"genre_scores_gemma":[0.9853077,0.0009546554,0.00877183,0.0002151256,0.000491199,0.00002829147,0.0001934485,0.00008322988,0.003954423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003466483,"threshold_uncertainty_score":0.01159656,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2709973523210946,"score_gpt":0.5346649315601657,"score_spread":0.2636675792390711,"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."}}