- 95-205 Baladi V., Ruelle D.
- Sharp determinants
May 2, 95
(auto. generated ps),
of related papers
Abstract. We introduce a sharp trace $\trr^\# \MM$ and a sharp determinant
$\dett^\# (1-z\MM)$ for an algebra of operators $\MM$ acting on
functions of bounded variation on the real line. We show that
the zeroes of the sharp determinant describe the discrete spectrum of $\MM$.
The relationship with weighted zeta functions of interval maps
and Milnor-Thurston kneading determinants is explained. This
yields a result on convergence of the discrete spectrum
of approximated operators.
(This is a revised version of the paper.)