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math.AG2023
Questions about the dynamics on a natural family of affine cubic surfaces
Julio Rebelo, Roland Roeder
We present several questions about the dynamics of the group of holomorphic automorphisms of the affine cubic surfaces $$S_{A,B,C,D} = \{(x,y,z) \in \mathbb{C}^3 \, : \, x^2 + y^2…
math.DS2023
Equidistribution without stability for toric surface maps
Jeffrey Diller, Roland Roeder
We prove an equidistribution result for iterated preimages of curves by a large class of rational maps that cannot be birationally con…