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GRAPH COMPONENTS AND DYNAMICS OVER FINITE FIELDS

RYAN FLYNN, DEREK GARTON
2014 International Journal of Number Theory  

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2011 pre-print arXiv:1108.4132v1 fatcat:6zotpd7esfag3kp3dkv5tk5xwy
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.
doi:10.1142/s1793042113501224 fatcat:dyfnepurhzfujhu45wzn5des6q
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RYAN FLYNN, DEREK GARTON. "GRAPH COMPONENTS AND DYNAMICS OVER FINITE FIELDS." International Journal of Number Theory 10.03 (2014) 779-792