{"paper":{"title":"The subordinated processes controlled by a family of subordinators and corresponding Fokker-Planck type equations","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ai-Guo Xiao, Hai-Lan Huang, Long Shi, Zhi Mao, Zu-Guo Yu","submitted_at":"2014-11-13T10:18:52Z","abstract_excerpt":"In this work, we consider subordinated processes controlled by a family of subordinators which consist of a power function of time variable and a negative power function of $\\alpha-$stable random variable. The effect of parameters in the subordinators on the subordinated process is discussed. By suitable variable substitutions and Laplace transform technique, the corresponding fractional Fokker-Planck-type equations are derived. We also compute their mean square displacements in a free force field. By choosing suitable ranges of parameters, the resulting subordinated processes may be subdiffus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3488","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}