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As applications we study the structure of the functions which are limits of the iterates of the map $\\pMap$ and we prove the analyticity of the set of $\\pMap$-recurrent points when $\\pMap:\\MSpace\\to\\MSpace$ is a holomorphic and $\\MSpace$ is a complex hyperbolic spaces in the sense of Kobayashi."},"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":"1304.1023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-04-03T17:34:28Z","cross_cats_sorted":["math.DS","math.MG"],"title_canon_sha256":"7bcaade5c16d53e8280fc270e648cee3f08e0298785a8e2dc48244d6b893c17e","abstract_canon_sha256":"cae161e5251b965f23dc6acf25848e7d14d04344cd3d4aea40600e74cb7702f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:05.514133Z","signature_b64":"CiKl9Mnxn3cSUxvX7PYGUoualowXk+0dpa1E1K7McAzOE9lEznlDKCkdWeGwNpGDEWgXOIh0pleWtv0LyVCxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a757d77e9a8b6c99961d34b14e75b00fd4b04eaee88f67757316a483ed9f443","last_reissued_at":"2026-05-18T03:29:05.513722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:05.513722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Orbits of not Expansive Mappings in Metric Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MG"],"primary_cat":"math.CV","authors_text":"Sergio Venturini","submitted_at":"2013-04-03T17:34:28Z","abstract_excerpt":"Let $\\MSpace$ be a locally compact metric space and let $\\pMap:\\MSpace\\to\\MSpace$ be a not expansive map. 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