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Abstract
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Let
be a set of dominant
rational self-maps on
.
We study the arithmetic and dynamical degrees of infinite sequences of
obtained by sequentially
composing elements of
on the right and left. We then apply this insight to dynamical Galois theory.
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Keywords
arithmetic dynamics, heights, random iteration
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Mathematical Subject Classification
Primary: 11G50, 37A50, 37P15
Secondary: 11R32
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Milestones
Received: 27 April 2020
Revised: 22 October 2020
Accepted: 14 January 2021
Published: 31 July 2021
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