We investigate a new type of approximation to quantum determinants, the "quantum Fredholm determinant," and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have aâ€¦ (More)

Dynamical zeta functions [1], Fredholm determinants [2] and quantum Selberg zeta functions [3, 4] have recently been established as powerful tools for evaluation of classical and quantum averages inâ€¦ (More)

We study the effect on quantum spectra of the existence of small circular disks in a billiard system. In the limit where the disk radii vanish there is no effect, however this limit is approachedâ€¦ (More)

Classical and semiclassical periodic orbit expansions are applied to the dynamics of a point particle scattering elastically oo several disks in a plane. Fredholm determinants, zeta functions, andâ€¦ (More)

The diffraction trace formula (Phys. and spectral determinant are tested on the open three disk scattering system. The system contains a generic and exponentially growing number of diffractionâ€¦ (More)