In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is
reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by …

We propose a new definition of natural invariant measure for trajectory segments of finite
duration for a many-particle system. On this basis we give an expression for the probability …

A bstract Motivated by the desire to understand chaos in the S-matrix of string theory, we
study tree level scattering amplitudes involving highly excited strings. While the amplitudes …

We demonstrate the utility of the periodic-orbit description of chaotic motion by computing
from a few periodic orbits highly accurate estimates of a large number of quantum …

Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Bulletin …

For dynamical systems of large spatial extension giving rise to transport phenomena, like the
Lorentz gas, we establish a relationship between the transport coefficient and the difference …

A description of a low-dimensional deterministic chaotic system in terms of unstable periodic
orbits (cycles) is a powerful tool for theoretical and experimental analysis of both classical …

We study quantum scattering on manifolds equivalent to the Euclidean space near infinity, in
the semiclassical regime. We assume that the corresponding classical flow admits a non …