{"paper":{"title":"Common boundary regular fixed points for holomorphic semigroups in strongly convex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CV","authors_text":"Filippo Bracci, Marco Abate","submitted_at":"2014-02-15T11:30:18Z","abstract_excerpt":"Let $D$ be a bounded strongly convex domain with smooth boundary in $\\mathbb C^N$. Let $(\\phi_t)$ be a continuous semigroup of holomorphic self-maps of $D$. We prove that if $p\\in \\partial D$ is an isolated boundary regular fixed point for $\\phi_{t_0}$ for some $t_0>0$, then $p$ is a boundary regular fixed point for $\\phi_t$ for all $t\\geq 0$. Along the way we also study backward iteration sequences for elliptic holomorphic self-maps of $D$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3675","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"}