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

Published 9 Apr 2019 in math.NT and math.DS | (1904.04709v1)

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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