{"paper":{"title":"Distribution of periodic points of polynomial diffeomorphisms of C^2","license":"","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eric Bedford, John Smillie, Mikhail Lyubich","submitted_at":"1993-01-23T00:00:00Z","abstract_excerpt":"This paper deals with the dynamics of a simple family of holomorphic diffeomorphisms of $\\C^2$: the polynomial automorphisms. This family of maps has been studied by a number of authors. We refer to [BLS] for a general introduction to this class of dynamical systems. An interesting object from the point of view of potential theory is the equilibrium measure $\\mu$ of the set $K$ of points with bounded orbits. In [BLS] $\\mu$ is also characterized dynamically as the unique measure of maximal entropy. Thus $\\mu$ is also an equilibrium measure from the point of view of the thermodynamical formalism"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9301220","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"}