{"paper":{"title":"G-casual Stable Probability Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lev B. Klebanov","submitted_at":"2015-06-06T22:16:06Z","abstract_excerpt":"A generalization of stable and casual stable probability distribution is proposed. The notion of $\\go G$-casual stability can be used to introduce discrete analogues of stable distributions on the sent $\\mathbb Z$ of integers. In contrary to limit definition of stable distributions on $\\mathbb Z$ our has algebraic character. Examples of corresponding limit theorems are given.\n  Keywords: stable distributions; casual stable distribution; discrete stable distributions; limit theorems"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02198","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"}