Dynamical and arithmetic degrees for random iterations of maps on projective space
Number Theory
2019-04-10 v1 Dynamical Systems
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.
Cite
@article{arxiv.1904.04709,
title = {Dynamical and arithmetic degrees for random iterations of maps on projective space},
author = {Wade Hindes},
journal= {arXiv preprint arXiv:1904.04709},
year = {2019}
}