The power spectrum of interface fluctuations in the (1 + 1)-dimensional Kardar-Parisi-Zhang (KPZ) universality class is studied both experimentally and numerically. The 1/f-type spectrum is found and characterized through a set of “critical exponents” for the power spectrum. The recently formulated “aging WienerKhinchin theorem” accounts for the observed exponents. Interestingly, the 1/f spectr...

A controlled age-dependent population equation based on the parity interval progression is developed. The asymptotic properties for the stationary case are studied by investigating the spectrum of the corresponding population operator in the semigroup framework.

Motivated by structural decompositions and other asymptotic properties of graphs we define the notions in the title and show the wide spectrum of examples of nowhere dense graphs. This has several algorithmic consequences and it generalizes and improves earlier results.

We study a semilinear elliptic equation with an asymptotic linear nonlinearity. Exact multiplicity of solutions are obtained under various conditions on the nonlinearity and the spectrum set. Our method combines a bifurcation approach and Leray–Schauder degree theory.

In this paper we study in detail some spectral properties of the magnetic discrete Laplacian. We identify its form-domain, characterize the absence of essential spectrum and provide the asymptotic eigenvalue distribution.

here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.

It is well known that the spectrum condition, i.e. the positivity of the energy in every inertial coordinate system, is one of the central conceptual ingedients in model-independent approaches to relativistic quantum field theory. When one attempts to formulate quantum field theory in a model-independent manner on a curved background spacetime, it is not immediately clear which concepts replace...

From the asymptotic behavior of the plane wave spectrum, a simple method is derived for determining the minimum convex closed surface in which the sources of a given acoustic or electromagnetic farfield pattern can be located.