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math.DS2009
Exponential mixing for automorphisms on compact Kaehler manifolds
Tien-Cuong Dinh, Nessim Sibony
Let f be a holomorphic automorphism of positive entropy on a compact Kaehler surface. We show that the equilibrium measure of f is exponentially mixing. The proof uses some recent…
math.DS2009
Equidistribution speed for endomorphisms of projective spaces
Tien-Cuong Dinh, Nessim Sibony
Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k, f^n its iterate of order n and μthe equilibrium measure of f. We estimate the speed of conve…