This review paper is devoted to analyzing the main properties of the cosmological singularity
associated with the homogeneous and inhomogeneous Mixmaster model. After the …

A bstract We derive gravitational backgrounds that are asymptotically Anti-de Sitter, have a
regular black hole horizon and which deep in the interior exhibit mixmaster chaotic …

In this second edition, a comprehensive review is given for path integration in two-and three-
dimensional (homogeneous) spaces of constant and non-constant curvature, including an …

We investigate the numerical computation of Maaß cusp forms for the modular group
corresponding to large eigenvalues. We present Fourier coefficients of two cusp forms …

Starting from the Hamiltonian formulation for the inhomogeneous Mixmaster dynamics, we
approach its quantum features through the link of the quasi-classical limit. We fix the proper …

The covariant action of the supersymmetrically extended spatially homogeneous general
Bianchi type IX cosmology is given including time reparametrization invariance, inducing the …

Ballistic electrons confined to a billiard and subject to spin-orbit coupling of the Rashba-type
are investigated, using both approximate semiclassical and exact quantum-mechanical …

Classical and wave properties of microlasers with the shape of a truncated pseudosphere
are investigated through experiments and numerical simulations. These pseudosphere …

The most general solution to the Einstein equations in 4= 3+ 1 dimensions in the asymptotic
limit close to the cosmological singularity under the BKL (Belinskii–Khalatnikov–Lifshitz) …

Spatially homogeneous cosmological models reduce to Hamiltonian systems in a low-
dimensional Minkowskian space moving on the total energy shell H= 0. Close to the initial …