If (x0, y0) is a point in S and (xn, yn) is its nth iterate under Arnolds cat map, show
Chapter 10, Problem 10(choose chapter or problem)
If (x0, y0) is a point in S and (xn, yn) is its nth iterate under Arnolds cat map, show that xn yn = 1 1 1 2 n x0 y0 mod 1 This result implies that the modular arithmetic need only be performed once rather than after each iteration.
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