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arxiv: 1904.04709 · v1 · pith:BEOLIKIQnew · submitted 2019-04-09 · 🧮 math.NT · math.DS

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

classification 🧮 math.NT math.DS
keywords randomdynamicalheightprojectivespacealmostapplyarithmetic
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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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