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

Published online by Cambridge University Press:  26 February 2021

WADE HINDES*
Affiliation:
Department of Mathematics, Texas State University, 601 University Dr., San Marcos, TX78666, U.S.A. e-mail: wmh33@txstate.edu

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.

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Cambridge Philosophical Society

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References

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