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math.DS2024
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…
math.DS2024
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…