Starting with the work of Yau [Y1], Donaldson [D1], and Uhlenbeck-Yau [UY], the notion of stability has revealed itself under many guises to be closely related to the existence of canonical metrics in Kähler geometry. The equivalence between Hermitian-Einstein metrics on vector bundles and Mumford stability was proved by Donaldson and Uhlenbeck-Yau in [D1] and [UY], while the existence of Kähle...

A Riemannian manifold (M, ρ) is called Einstein if the metric ρ satisfies the condition Ric(ρ) = c · ρ for some constant c. This paper is devoted to the investigation of G-invariant Einstein metrics with additional symmetries, on some homogeneous spaces G/H of classical groups. As a consequence, we obtain new invariant Einstein metrics on some Stiefel manifolds SO(n)/SO(l), and on the symplecti...

The DO-climate events are noise induced: statistical investigation of the claimed 1470 years cycle P. D. Ditlevsen, K. K. Andersen, and A. Svensson The Niels Bohr Institute, Department of Geophysics, University of Copenhagen, Juliane Maries Vej 30, 2100 Copenhagen O, Denmark Received: 8 November 2006 – Accepted: 2 December 2006 – Published: 12 December 2006 Correspondence to: P. D. Ditlevsen (p...

By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. This problem has profound implications in many fields of science ranging from Anderson localization to time reversal of classical and quantum waves. We begin our analysis with a series of parallel numerical simulations, whose results show an unexpected and anomalous beh...

The main goal of this paper is to generalize Bohr’s phenomenon from complex one-dimensional analysis to higher dimensions in the framework of Quaternionic Analysis. MSC 2000: 30G35

P. Eerola, B. Kónya, O. Smirnova Particle Physics, Institute of Physics, Lund University, Box 118, 22100 Lund, Sweden T. Ekelöf, M. Ellert Department of Radiation Sciences, Uppsala University, Box 535, 75121 Uppsala, Sweden J. R. Hansen, J. L. Nielsen, A. Wäänänen Niels Bohr Institutet for Astronomi, Fysik og Geofysik, Blegdamsvej 17, Dk-2100 Copenhagen Ø, Denmark A. Konstantinov University of ...

The Bose-Einstein condensation is a fascinating phenomenon, which results from quantum statistics for identical particles with an integer spin. Surprising properties, such as superfluidity, vortex quantization or Josephson effect, appear owing to the macroscopic quantum coherence, which spontaneously develops in Bose-Einstein condensates. Realization of Bose-Einstein condensation is not restric...