- 95-470 Baladi V., Kitaev A. , Ruelle D., Semmes S.
- Sharp determinants and kneading operators for holomorphic maps
(134K, plain TeX)
Nov 1, 95
(auto. generated ps),
of related papers
Abstract. In an earlier paper two of us studied generalized transfer
operators M associated to maps of intervals. In particular the
analyticity of a "sharp determinant" Det#(1-z M) was analyzed on the
basis of spectral properties of M and by relating Det#(1-z M) to the
determinant of 1 + D(z) for a suitable "kneading operator" D(z).
It is a natural idea to try to replace monotone maps of intervals of the line
by holomorphic diffeomorphisms of domains of the complex plane. This program
of transposition to the complex has been carried through in part, and the
present preprint shows our results.