Whether a dwarf spheroidal galaxy is in equilibrium or being tidally disrupted by the Milky Way is an important question for the study of its dark matter content and distribution. This question is investigated using 328 recent observations from the dwarf spheroidal Leo I. For Leo I, tidal disruption is detected, at least for stars sufficiently far from the center, but the effect appears to be q...

The cross talk between wavelength-multiplexed holograms is analyzed. The signal-to-noise ratio (SNR) is calculated for a recording schedule that places the center of each image at the null (in wavelength space) of the adjacent hologram. An asymptotic closed-form expression for the minimum SNR is derived in a general reflection geometry. The reflection geometry with counterpropagating signal and...

A concept of semiclassically concentrated solutions is formulated for the multidimensional nonlinear Schrödinger equation (NLSE) with an external field. These solutions are considered as multidimensional solitary waves. The center of mass of such a solution is shown to move along with the bicharacteristics of the basic symbol of the corresponding linear Schrödinger equation. The leading term of...

Whether a dwarf spheroidal galaxy is in equilibrium or being tidally disrupted by the Milky Way is an important question for the study of its dark matter content and distribution. This question is investigated using 328 recent observations from the dwarf spheroidal Leo I. For Leo I, tidal disruption is detected, at least for stars sufficiently far from the center, but the effect appears to be q...

We present results of numerical simulations of a two-dimensional Kroemer model for the Gunn effect in samples with different number of point contacts. These results can be interpreted with the help of asymptotic theories for particular geometries: a one-dimensional sample and a Corbino disk (a circular sample with a point contact at the center surrounded by a metallic contact attached to its bo...

In this review, we discuss the present status of description confining flux tubes in SU(N) pure Yang–Mills theory terms ensembles percolating center vortices. This is based on three main pillars: modeling continuum ensemble components detected lattice, derivation effective field representations, and contrasting associated properties with Monte Carlo lattice results. The integration knowledge ab...

Inspired by the center-vortex dominance in infrared sector of $SU(N)$ Yang-Mills theory observed on lattice, we propose a vacuum wave functional localized an ensemble correlated center vortices endowed with stiffness and magnetic monopoles that change orientation vortex flux. In electric-field representation, this becomes effective partition function for N complex scalar fields. The inclusion b...

abstraCt This article deals with the simplest abandonment model in which the customer's patience is exponentially distributed and the capacity of the system is unlimited. Sze (1984, 229-249) has designed a queuing model for the telephone operating system without abandonment. The most common model which supports the workforce management of the telephone centre is M/M/N/B and some special cases c...

We analyze a delayed Holling-Tanner predator-prey system with ratio-dependent functional response. The local asymptotic stability and the existence of the Hopf bifurcation are investigated. Direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are studied by deriving the equation describing the flow on the center manifold. Finally, numerical simulations are p...

The connection between analytic continuation of group representations and analytic continuation of their matrix elements is discussed, together with some related problems concerning the group-theoretic nature of the S-matrix, and the asymptotic behavior of the special functions of mathematical physics. (To be submitted to Comm. of Math. Phys.) Work supported by U. S. Atomic Energy Commission AN...