4 papers
Multiplier rigidity for complex Hénon maps
Serge Cantat, Romain Dujardin
We investigate the multiplier rigidity problem for polynomial automorphisms of . A first result states that a complex Hénon map of given degree is determined up to fi…
Some rigidity results for polynomial automorphisms of C^2
Serge Cantat, Romain Dujardin
We prove several new rigidity results for polynomial automorphisms of with positive entropy. A first result is that a complex slice of the (forward or backward) Julia…
Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate
Serge Cantat, Romain Dujardin
We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism ϕof C…
Dynamics of automorphism groups of projective surfaces: classification, examples and outlook
Serge Cantat, Romain Dujardin
We first present an overview of our previous work on the dynamics of subgroups of automorphism groups of compact complex surfaces, together with a selection of open problems and ne…