Accessible points in the Julia set of stable exponentials.
by
Monica Moreno-Rocha
Tufts University
Coauthors: R. Bhattacharjee, R.L. Devaney, R.E.L. Deville, K.Josic

In this talk we consider the question of accessibility of points in the Julia set of complex exponential functions in the case where the exponential admits an attracting cycle. In the case of an attracting fixed point it is known that the Julia set is a Cantor bouquet and that the only points accessible from the basin are the endpoints of the bouquet. In case the cycle has period two or greater, there are many more restrictions on which points in the Julia set are accessible. In this talk we give a precise condition for a point to be accessible in terms of the kneading sequence of the cycle.

Date received: February 21, 2003