Asymmetric Tent Map Expansions - II: Purely Periodic Points.

The family of asymmetric tent maps T sub (alpha); [0, 1] for alpha > is defined by T sub (alpha) (X = [alpha x for 0 =1}. Part I showed that for certain alpha, called special Pisot numbers, one has Per(T sub (alpha)) = Q(alpha) omega [0, 1]. Special Pisot numbers consist of alpha such that both alpha and alpha over alpha - 1 are Pisot numbers. This paper characterizes Fix(T sub (alpha)) and Per sub 0(T sub (alpha)) for most special Pisot numbers.