The motivation of this paper is based on the fact that a straightforward solution to optimization of the widely used μ-law companding quantizer has not been proposed so far. We deal with this problem for the case of a Laplacian source and we apply Muller’s method for the optimization of the quantizer in question. Particularly, we use minimal distortion criteria and we apply Muller’s method in o...

We consider how to break the near degeneracy between dark matter and baryonic MOdified Newtonian Dynamics (MOND). We show that the Roche Lobes of a two-body baryonic system (e.g., a globular cluster orbiting a host galaxy) are sensitive to modifications of the law of gravity. We generalise the analytical results obtained in the deep-MOND limit by Zhao (2005, astro-ph/0511713), consider in the f...

We derive the "conservation law" for nematic polymers in tensorial form valid for quadrupolar orientational order, in contradistinction to the conservation law in the case of polar orientational order. Due to microscopic differences in the coupling between the orientational field deformations and the density variations for polar and quadrupolar order, we find that the respective order parameter...

Random spanning trees of a graph G are governed by corresponding probability mass distribution (or “law”), μ, defined on the set all G. This paper addresses problem choosing μ in order to utilize edges as “fairly” possible. turns out be equivalent minimizing, with respect expected overlap two independent random sampled law μ. In process, we introduce notion homogeneous graphs. These graphs for ...

We use the BNL E821 measurement of gμ− 2, the anomalous magnetic moment of the muon, to normalize, within a supersymmetric GUT framework, constrained MSSM (CMSSM) predictions for processes that violate charged-lepton flavour conservation, including μ → eγ, μ → e conversion and K0 L → μ±e∓. We illustrate our analysis with two examples of lepton mass matrix textures motivated by data on neutrino ...

(x) when u(0, x) is the cumulative distribution function of a signed measure on IR. We associate a nonlinear martingale problem with the Fokker-Planck equation obtained by spatial differentiation of the conservation law. After checking uniqueness for both the conservation law and the martingale problem, we prove existence thanks to a propagation of chaos result for systems of interacting partic...

A particularly simple model belonging to a wide class of coupled maps which obey a local conservation law is studied. The phase structure of the system and the types of the phase transitions are determined. It is argued that the structure of the phase diagram is robust with respect to mild violations of the conservation law. Critical exponents possibly determining a new universality class are c...

We examine one consequence for the generic theory TC of a geometric Fräıssé class C when C has the 0, 1-law for first-order logic with convergence to TC itself. We show that in this scenario, if the asymptotic probability measure in play is not terribly exotic, then C is “very close” to being a 1-dimensional asymptotic class—so that TC is supersimple of finite SU -rank. Introduction. In much of...