From symbolic dynamics to a digital approach

We show that the numbers generated by the symbolic dynamics of Feigenbaum a ttractors are transcendental. Due to the asymmetry of the chaotic attractor s of unimodal maps around the maximum in the general case, a standard conje cture, that the occurrence of chaos is related to the transcendence of the number defined by the corresponding symbolic dynamics is reassessed and for mulated in a quantitative manner. It is concluded that transcendence may pr ovide an appropriate measure of complexity.