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For an arbitrary Borel set $B\\subseteq\\mathbb{R}_+$ we interpret the graph $Gr_X(B)=\\{(t,X(t)):t\\in B\\}$ as a semi-selfsimilar process on $\\mathbb{R}^{d+1}$, whose distribution is not full, and calculate the Hausdorff dimension of $Gr_X(B)$ in terms of the real parts of the eigenvalues of the exponent $E$ and the Hausdorff dimension of $B$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.00615","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-01T19:20:39Z","cross_cats_sorted":[],"title_canon_sha256":"9462a6325c461436442fea3388d34604f098c06549ed550b6c34d88690e81cda","abstract_canon_sha256":"f4fa6465eb7f88163d6507540e274e8f9094ccbcc5691ed04d53d6e95bf5f86a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:54.096273Z","signature_b64":"JvUV8eA7vJqk6hcF5v/+YBd3W2w9r8Pko5SOh/kR37MFyWlPKImKVqebZraaHCBvcOw9f1mrxAF2hRGV3GWzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6724016ec74d4e41f227d552459152b76ec016609067e36039277056a0dd6787","last_reissued_at":"2026-05-18T01:59:54.095641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:54.095641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hausdorff dimension of the graph of an operator semistable L\\'evy process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lina Wedrich","submitted_at":"2015-06-01T19:20:39Z","abstract_excerpt":"Let $X=\\{X(t):t\\geq0\\}$ be an operator semistable L\\'evy process in $\\mathbb{R}^d$ with exponent $E$, where $E$ is an invertible linear operator on $\\mathbb{R}^d$. 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