Asymmetric Tent Map Expansions I - Eventually Periodic Points.

The family of asymmetric tent maps T sub alpha : [0, 1] -> [0, 1] for alpha > 1 is defined by T sub alpha (x) = left {alpha x for 0 C with sigma (alpha) = alpha, one has min (| sigma (alpha)|, | sigma (alpha over {alpha - 1})|)