This paper deals with entire solutions of a bistable reaction-diffusion equation for which the speed of the traveling wave connecting two constant stable equilibria is zero. Entire solutions which behave as two traveling fronts approaching, with super-slow speeds, from opposite directions and annihilating in a finite time are constructed by using a quasiinvariant manifold approach. Such solutio...

I discuss an idea which could lead to a methodology for testing the effects of WIMP DM scattering and capture onto primordial stars. It relies on the effects of “life prolongation” of affected PopIII stars, that can slow down nuclear reactions by supporting their own structure with the energy produced by annihilating DM captured inside the star. This can lead to an alteration of the Pair Produc...

In dynamic contrast enhanced (DCE) MRI, temporal and spatial resolution can be improved by timeresolved angiography with interleaved stochastic trajectories (TWIST). However, due to view sharing, the temporal resolution of TWIST is not a true one. To overcome this limitation, we employ recently proposed annihilating filter-based low rank Hankel matrix approach (ALOHA) that interpolates the miss...

The generalized gradient correction method for positron-electron correlation effects in solids @B. Barbiellini et al., Phys. Rev. B 51, 7341 ~1995!# is applied in several test cases. The positron lifetime, energetics, and momentum distribution of the annihilating electron-positron pairs are considered. The comparison with experiments shows systematic improvement in the predictive power of the t...

Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds for the complexity of computing the annihilating ideal of fs = f1 1 · · · f sp p in D[s] = D[s1, . . . , sp]. These bounds provide an initial explanation on the differences between the running times of the two methods known to obtain the so-called BernsteinSato ideals.

In this paper we review the hypothesis that a substantial part of the cosmic ray ux observed above about 10 19 eV may be produced by decaying or annihilating topo-logical defects left over from phase transitions in the early universe at grand uniication energy scales (10 16 GeV). Possible signatures of cosmic ray producing defect models are discussed which could be tested experimentally in the ...

A new theoretical framework for computation of the relic abundance of cold dark matter particles such as LSP is presented and some generic features of new results are discussed. The most important is a generalization of the Boltzmann equation to include off-shell effects and its thermal average over cosmic medium. It is shown that at very low temperatures, much below the mass of annihilating pa...