{"paper":{"title":"Levy Flight Superdiffusion: An Introduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. A.Dubkov, B. Spagnolo, V. V. Uchaikin","submitted_at":"2008-10-08T17:46:31Z","abstract_excerpt":"After a short excursion from discovery of Brownian motion to the Richardson \"law of four thirds\" in turbulent diffusion, the article introduces the L\\'{e}vy flight superdiffusion as a self-similar L\\'{e}vy process. The condition of self-similarity converts the infinitely divisible characteristic function of the L\\'{e}vy process into a stable characteristic function of the L\\'{e}vy motion. The L\\'{e}vy motion generalizes the Brownian motion on the base of the $\\alpha$-stable distributions theory and fractional order derivatives. The further development of the idea lies on the generalization of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1492","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"}