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• W3105300844 abstract "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. In the present paper we give another dynamical interpretation of $mu$ as the limit distribution of the periodic points of $f$." @default.
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• W3105300844 date "1993-12-01" @default.
• W3105300844 modified "2023-09-27" @default.
• W3105300844 title "Distribution of periodic points of polynomial diffeomorphisms of C2" @default.
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• W3105300844 doi "https://doi.org/10.1007/bf01232671" @default.
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