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NORMAL NUMBERS MOD 2 ON THE LOGISTIC MAP

  • Ahn, Young-Ho (Department of Mathematics, Mokpo National University)
  • Received : 2013.10.23
  • Accepted : 2013.11.11
  • Published : 2013.12.25

Abstract

We show that for the logistic map, almost every x is a normal number mod 2 with respect to all intervals except for $[a,b]=[\frac{1}{4},1]\;or\;[a,b]=[\frac{1}{2}-\frac{\sqrt{3}}{4},\frac{1}{2}+\frac{\sqrt{3}}{4}]$.

Keywords

References

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