Dynamical and arithmetic degrees for random iterations of maps on projective space

Wade Hindes

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arXiv · 1904.04709

Dynamical and arithmetic degrees for random iterations of maps on projective space

Wade Hindes

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Abstract

We show that the dynamical degree of an (i.i.d) random sequence of dominant, rational self-maps on projective space is almost surely constant. We then apply this result to height growth and height counting problems in random orbits.

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Wade Hindes. 2019-04-09. Dynamical and arithmetic degrees for random iterations of maps on projective space. https://arxiv.org/abs/1904.04709

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