Graph components and dynamics over finite fields

Details Graph components and dynamics over finite fields Graph components and dynamics over finite fields

2011-08-20

arxiv.org/abs/1108.4132v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

For polynomials and rational maps of fixed degree over a finite field, we
bound both the average number of connected components of their functional
graphs as well as the average number of periodic points of their associated
dynamical systems.

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