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math.DS2007★ 2 cited
Linear Recurrences in the Degree Sequences of Monomial Mappings
Eric Bedford, Kyounghee Kim
Let be an integer matrix, and let be the associated monomial map. We give a connection between the eigenvalues of and existence of a linear recurrence relation in the…
math.DS2007
The Number of Periodic Orbits of a Rational Difference Equation
Eric Bedford, Kyounghee Kim
We show how a variant of the Lefschetz Fixed Point Theorem may be used to count the number of periodic orbits for certain rational difference equations.