This paper presents a new decomposition technique for hierarchical Cayley graphs. This technique yields a very easy implementation of the divide & conquer paradigm for weak order problems on very complex architectures as the Star graph or the Pancake. As applications, we introduce asymptotically optimal algorithms for Broadcasting, Gossiping, and Semigroup operations for such interconnection ne...

The human brain is easily the most baffling bit of biology on the planet. How did the nervous system evolve? What came first: neurons or synaptic proteins? A new paper studying the pancake-shaped Trichoplax suggests it was not the neurons.

The full time-dependent four-wave mixing polarization in quantum dots is microscopically calculated, taking into account acoustic phonon-assisted transitions between different exciton states of the dot. It is shown that quite different dephasing times of higher exciton states in pancake anisotropic InGaAs quantum dots are responsible for the experimentally observed [1] double-exponential decay ...

We present results showing an improvement of the accuracy of perturbation theory as applied to cosmological structure formation for a useful range of scales. The Lagrangian theory of gravitational instability of Friedmann–Lemaˆıtre cosmogonies investigated and solved up to the third order in the series of papers by compared with numerical simulations. In this paper we study the dynamics of hier...