{"paper":{"title":"On convex hull of d-dimensional fractional Brownian motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Youri Davydov","submitted_at":"2011-05-30T15:36:17Z","abstract_excerpt":"It is well known that for standard Brownian motion $ \\{B(t), \\;t \\geq 0\\}$ with values in $\\mathbb{R}^d$ its convex hull $ V(t)=\\conv \\{\\{\\,B(s),\\;s \\leq t \\}$ with probability 1 contains 0 as an interior point for each $t > 0$ (see \\cite{E}). The aim of this note is to state the analoguos property for $d$-dimensional fractional Brownian motion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.6018","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"}