Dynamical degrees of affine-triangular automorphisms of affine spaces
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Abstract We study the possible dynamical degrees of automorphisms of the affine space $\mathbb {A}^n$ . In dimension $n=3$ , we determine all dynamical degrees arising from the composition of an affine automorphism with a triangular one. This generalizes the easier case of shift-like automorphisms which can be studied in any dimension. We also prove that each weak Perron number is the dynamical degree of an affine-triangular automorphism of the affine space $\mathbb {A}^n$ for some n, and we give the best possible n for quadratic integers, which is either $3$ or $4$ .
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1986 ◽
Vol 29
(2)
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pp. 140-145
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2019 ◽
Vol 22
(08)
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pp. 1950064
1969 ◽
Vol 21
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pp. 64-75
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