The classification of the coadjoint orbits of the Virasoro algebra is reviewed and then applied to analyze the so-called global Liouville equation. The review is self-contained, elementary and is tailor-made for the ...

The global constraints on chaotic dynamics induced by the analyticity of smooth flows are used to dispense with individual periodic orbits and derive infinite families of exact sum rules for several simple dynamical systems. ...

Periodic orbit theory is all effective tool for the analysis of classical and quantum chaotic systems. In this paper we extend this approach to stochastic systems, in particular to mappings with additive noise. The theory ...

We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared with the wavelength 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive the semiclassical ...

This study presents a wide-field near-infrared (K-band) survey in two fields: SA 68 and Lynx 2. The survey covers an area of 0.6 deg(2), complete to K = 16.5. A total of 867 galaxies are detected in this survey of which ...

We have carried out a principal component analysis for 625 gamma-ray bursts in the BATSE 3B catalog for which nonzero values exist for the nine measured variables. This shows that only two out of the three basic quantities ...

Results of a blind test of photometric redshift predictions against spectroscopic galaxy redshifts obtained in the Hubble Deep Field with the Keck Telescope are presented. The best photometric redshift schemes predict ...