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This concept was introduced by N.~Feldman, who have raised 7 questions on hypercyclic tuples. We answer those 4 of them, which can be dealt with on the level of operators on finite dimensional spaces. In particular, we prove that the minimal cardinality of a hypercyclcic tuple of operators on $C^n$ (respectively, on $R^n$) is $n+1$ (respectively, $\\frac"},"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":"1008.3483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-20T12:21:43Z","cross_cats_sorted":[],"title_canon_sha256":"3eaa381ae9295683feb770290e20287a75c45e32a50bc8e8e663b1be3beab0a7","abstract_canon_sha256":"eae185b579258545ad6d1f3ed066f1881c409750b71cf6b3e6ad896e63931af9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:02.279899Z","signature_b64":"+0y+0j8WEEVipSkOqxnEoMMzkPL9Zyg9+4y/+AJBbP4D/awklF+zltXv2hQc7w5TaVxGis50dcS+X2ktZSEvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"867582c5f70903638a6355e21c40d43cfc0e61f07e34a3a3ff3368460f6d8f13","last_reissued_at":"2026-05-18T04:42:02.279447Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:02.279447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hypercyclic tuples of operators on $C^n$ and $R^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Stanislav Shkarin","submitted_at":"2010-08-20T12:21:43Z","abstract_excerpt":"A tuple $(T_1,\\dots,T_n)$ of continuous linear operators on a topological vector space $X$ is called hypercyclic if there is $x\\in X$ such that the the orbit of $x$ under the action of the semigroup generated by $T_1,\\dots,T_n$ is dense in $X$. 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