Mathieu Baillif
Dynamical zeta functions for tree maps
(242K, PostScript)

ABSTRACT.  We study piecewise monotone and piecewise continuous maps f from a rooted 
oriented tree to itself, with weight functions either piecewise 
constant or of bounded variation. We define kneading coordinates for
such tree maps. We show that the Milnor-Thurston relation holds between the 
weighted reduced zeta function and the weighted kneading determinant of f.
This generalizes a result known for piecewise monotone interval maps.