We present exact results, as well as some illustrative Monte Carlo simulations, concerning a stochastic network with weighted connections in which the fraction of nodes that are dynamically synchronized, ρ ∈ [0, 1] , is a parameter. This allows one to describe from single–node kinetics (ρ → 0) to simultaneous updating of all the variables at each time unit (ρ → 1). An example of the former limi...

in this paper, absorbing markov chain models are developed to determine the optimum process mean levels for both a single-stage and a serial two-stage production system in which items are inspected for conformity with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is scrapped. if it falls above an upper limit, the item is ...

• Hadrons have an intrinsic size, with a radius rh ≃ 1 fm, and hence a hadron needs a space of volume Vh ≃ (4π/3)r 3 h in order to exist. This suggests a limiting density nc of hadronic matter 1, with nc = 1/Vh ≃ 1.5 n0, where n0 ≃ 0.17 fm −3 denotes the density of normal nuclear matter. • Hadronic interactions provide abundant resonance production, and the resulting number ρ(m) of hadron speci...

Abstract We prove a rigorous upper bound on the correlation energy of interacting fermions in mean-field regime for wide class interaction potentials. Our result covers Coulomb potential, and this case we obtain analogue Gell-Mann–Brueckner formula $$c_{1}\rho \log \left( \rho \right) +c_{2}\rho $$ c</mml:mi...