Equidistribution of saddle periodic points for Henon-type automorphisms of C^k

2014/03/01 by Dinh, Tien-Cuong, Sibony, Nessim
#32H50 #32U #37F #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.0070

Abstract

In this paper, we prove the equidistribution of saddle periodic points for Henon-type automorphisms of C^k with respect to it equilibrium measure. A general strategy to obtain equidistribution properties in any dimension is presented. It is based on our recent theory of densities for positive closed currents. Several fine properties of dynamical currents are also proved.

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