We give a reformulation of a six-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6 . We also study some Hamiltonian structures of this system. 0. Introduction In the present paper, we propose a 6-parameter family of four-dimensional coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6 . Our differential system is equivalent to...

Top quarks are produced in pairs via the strong interaction. At the Tevatron, operating at 1.96 TeV in Run II, the expected production rate of tt pairs is 6.8±0.6 pb @ mt=175 GeV/c . Roughly 85% arise from qq interactions, while the remaining 15% are created by gluon fusion. As of February 4, 2007, 2.05 fb of data have been recorded by the D0 experiment. To study the properties of the top quark...

Let us now come to our first attempts to define fractals in an intrinsic way and to deal with infinities and with their non-differentiability. We first consider the case of fractal curves drawn in a plane. The von Koch construction may be generalized in the complex plane by first giving ourselves a base (or “generator”) F1 made of p segments of length 1/q. The coordinates of the p points Pj of ...

While this interface document proposes technical standards for numerical relativity waveforms, we believe that the ability to extract the best astrophysical information from NR waveforms in gravitational wave searches will depend not just on adopting standards, but on the ability of the gravitational wave detector communities and the NR relativity communities to interact closely and develop a s...

In a recent paper [1] I proposed a novel relativity theory termed Information Relativity (IR). Unlike Einstein's relativity which dictates as force majeure that relativity is a true state of nature, Information Relativity assumes that relativity results from difference in information about nature between observers who are in motion relative to each other. The theory is based on two axioms: 1. t...