In this paper we design swarm clustering algorithm to build, move and place clusters of building materials on the desired place on plane. Such algorithm consists of three phases: building clusters, moving them radially and then orbitally. We present an example that demonstrates desired cluster placement. In particular, it is shown that with proposed algorithm capable of building clusters, movin...

Using the quantum Monte Carlo technique we compute thermodynamics and spectra for the orbitally degenerate Hubbard model in infinite spatial dimensions. With increasing orbital degeneracy we find in the one-particle spectra broader Hubbard bands ~consistent with increased kinetic energy!, a narrowing Mott gap, and increasing quasiparticle spectral weight. Hund’s rule exchange coupling decreases...

We consider nonlinear Schrödinger equations iut +∆u+ β(|u| )u = 0 , for (t, x) ∈ R × R, where d ≥ 3 and β is smooth. We prove that symmetric finite energy solutions close to orbitally stable ground states converge to a sum of a ground state and a dispersive wave as t → ∞ assuming the so called Fermi Golden Rule (FGR) hypothesis. We improve the “sign condition”required in a recent paper by Gang ...

[1] Whereas the existence of pronounced orbitally controlled periodicities is a major feature of Earth climate, its impact on landscape dynamics remains poorly understood. We use a Landscape Evolution Model (LEM) to systematically investigate the response of landscapes to a range of periodic oscillations in precipitation. The resulting sediment-flux evolution displays a pronounced sensitivity t...