We consider the family fa, b (x, y)=(y,(y+ a)/(x+ b)) of birational maps of the plane and the
parameter values (a, b) for which fa, b gives an automorphism of a rational surface. In …

We give a classification of birational transformations on smooth projective surfaces which
have a Zariski-dense set of noncritical periodic points. In particular, we show that if the first …

Dynamics of automorphisms of compact complex surfaces Page 1 noColor January 6, 2014
7x10 Dynamics of automorphisms of compact complex surfaces Serge Cantat ABSTRACT …

Résumé Soit f: X→ X une transformation rationnelle d'une variété projective complexe
compacte. Nous étudions la dynamique d'une telle application d'un point de vue statistique …

We initiate the study of random iteration of automorphisms of real and complex projective
surfaces, as well as compact Kähler surfaces, focusing on the classification of stationary …

We prove the following result, which is analogous to two theorems, one due to Kodaira and
Krasnov and another one due to Jouanolou and Ghys. Let $ M $ be a compact complex …

Every automorphism of the complex projective plane P2 is linear and therefore behaves
quite simply when iterated. It is natural to seek other rational complex surfaces—for instance …

We study finite orbits for non-elementary groups of automorphisms of compact projective
surfaces. In particular we prove that if the surface and the group are defined over a number …

We classify complex projective surfaces X with an automorphism f of positive entropy for
which the unique measure of maximal entropy is absolutely continuous with respect to the …

We show that any birational selfmap of a complex projective surface that has dynamical
degree greater than one and is defined over a number field automatically satisfies the …