- 98-448 Mathieu Baillif
- Dynamical zeta functions for tree maps
Jun 16, 98
(auto. generated ps),
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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.