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By refining arguments given in Meerschaert and Xiao \\cite{MX} for the special case of an operator stable (selfsimilar) L\\'evy process, for an arbitrary Borel set $B\\subseteq\\rr_+$ we determine the Hausdorff dimension of the partial range $X(B)$ in terms of the real parts of the eigenvalues of $E$ 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":"1204.5897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-04-26T12:21:38Z","cross_cats_sorted":[],"title_canon_sha256":"b276504be6d0953786315f0d3a6cdb397aef2265fb0914194cb37e2712fdb930","abstract_canon_sha256":"931d5386c544df107cb9ed38eebdfd74123a71c577b23de1fe47367f51e7d5c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:09.621443Z","signature_b64":"/HIT4F2Nu1levGViQFBJw0GySb6YMbRAMuskvgVHhOli/JUjcM4pOWmjEwIs9YQaTu6WiUEv01c1nbL7ZloKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1649275831cfaafc02ad899756a6bf27fbe6772f4c8ff6aa4f5c66f2fc334b62","last_reissued_at":"2026-05-18T02:43:09.621035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:09.621035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hausdorff dimension of operator semistable L\\'evy processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lina Wedrich, Peter Kern","submitted_at":"2012-04-26T12:21:38Z","abstract_excerpt":"Let $X=\\{X(t)\\}_{t\\geq0}$ be an operator semistable L\\'evy process in $\\rd$ with exponent $E$, where $E$ is an invertible linear operator on $\\rd$ and $X$ is semi-selfsimilar with respect to $E$. 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