Abstract: 
For a class of one-dimensional holomorphic maps $f$ of the Riemann sphere we
 prove that for a wide class of potentials $\varphi$ the topological pressure
 is entirely determined by the values of $\varphi$ on
 the repelling periodic points of $f$. This is a version of a classical result
 of Bowen for hyperbolic diffeomorphisms in the holomorphic
 non-uniformly hyperbolic setting.

1. Institute of Mathematics
   Polish Academy of Sciences
   Śniadeckich 8, P.O. Box 21
   00-956 Warszawa, Poland
   , http://www.pks.mpg.de/~gelfert/
2. Department of Mathematics
   Wichita State University
   Wichita, KS 67260, U.S.A.
   , http://www.math.wichita.edu/~cwolf/