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arXiv · 1110.1741

The Dynamical Degrees of a Mapping

Eric Bedford
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Abstract

Let f be a rational mapping of a space X . The complexity of (f,X) as a dynamical system is measured by the dynamical degrees $δ_p(f)$, $1\le p\le {\rm dim}(X)$. We give the definition of the dynamical degrees show how they are computed in certain cases. For instance, we show that if the dynamical degree of an automorphism of a Kähler manifold is greater than one, then it must be irrational.

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Eric Bedford. 2011-10-08. The Dynamical Degrees of a Mapping. https://arxiv.org/abs/1110.1741

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