We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

In the semiclassical limit, quantum mechanics shows differences between classically
integrable abd chaotic systems. Here we review recent developments in this field. Topics …

For billiards in two dimensional domains with boundaries containing only focusing and
neutral regular components and satisfacting some geometrical conditions B-property is …

Mathematical billiards describe the motion of a mass point in a domain with elastic
reflections off the boundary or, equivalently, the behavior of rays of light in a domain with …

Various problems of geometry, topology and dynamical systems on surfaces as well as
some questions concerning one-dimensional dynamical systems lead to the study of closed …

There exists a Teichmüller disc Δ n containing the Riemann surface of y 2+ xn= 1, in the
genus [n− 1/2] Teichmüller space, such that the stabilizer of Δ n in the mapping class group …

Starting with the work of GD Birkhoff, billiards have been a popular research topic drawing
on such areas as ergodic theory, Morse theory, and KAM theory. Billiard systems are also …

'Accidental'degeneracies between energy levels Ej and E j+ 1 of a real Hamiltonian can
occur generically in a family of Hamiltonians labelled by at least two parameters X, Y …

The theory of motion of particles bouncing inside a curve B is employed to illustrate different
types of orbit in classical mechanics. In the'phase space'whose two coordinates are s, the …

It is a surprising fact that so far almost no books have been published on KAM theory. The
first part of this book seems to be the first monographic exposition of this subject, despite the …