For the multivariate one-sample location model (relating to a diagonally symmetric distribution). sequential non-parametric (point as well as interval) estimators based on appropriate rank statistics are considered and their asymptotic properties studied. In this context. asymptotic risk-efficiency of the proposed estimators and asymptotic normality of the associated stopping times are establis...

A wide class of $$1+1$$ dimensional unitary conformal field theories allows for an explicit construction nonequilibrium “profile states” interpolating smoothly between different equilibria on the left and right. It has been recently established that generating function full counting statistics energy transfers in such states may be expressed terms solution to a non-local Riemann–Hilbert problem...

the aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. the method is a combination of the asymptotic expansion technique and the reproducing kernel method (rkm). first an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. then the reduced regular delayed diffe...

Abstract The profile, radius, and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii–Moriya (DM) interaction easy-axis anisotropy perpendicular to film, have been previously calculated asymptotic limits small large skyrmion as functions model parameter. We extend analysis case an external field or a combination field. formulae for radius are then modified, by use fi...

We analyse within first-order perturbation theory the instantaneous transition rate of an accelerated Unruh-DeWitt particle detector whose coupling to a mass-less scalar field on four-dimensional Minkowski space is regularised by a spatial profile. For the Lorentzian profile introduced by Schlicht, the zero size limit is computed explicitly and expressed as a manifestly finite integral formula ...

The parabolic Anderson model is the Cauchy problem for the heat equation with a random potential. We consider this model in a setting which is continuous in time and discrete in space, and focus on time-constant, independent and identically distributed potentials with polynomial tails at infinity. We are concerned with the long-term temporal dynamics of this system. Our main result is that the ...

We study a nonlocal wave equation with logarithmic damping, which is rather weak in the low-frequency zone as compared frequently studied strong damping case. consider Cauchy problem for this model Rn, and we asymptotic profile optimal estimates of solutions total energy t → ∞ L2 sense. In that case, some results on hypergeometric functions are useful.

In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. Furthermore, we obtain the zeros of eigenfunctions.

The study carried on in this paper draws its motivation from the problem of the asymptotic description of nonlinearly elastic thin films with a fast-oscillating profile. The behaviour of such films is governed by an elastic energy, where two parameters intervene: a first parameter ε represents the thickness of the thin film and a second one δ the scale of the oscillations. The analytic descript...

We construct global BV solutions to the Cauchy problem for the damped p-system, under initial data with distinct end-states. The solution will be realized as a perturbation of its asymptotic profile, in which the specific volume satisfies the porous media equation and the velocity obeys the classical Darcy law for gas flow through a porous medium. Division of Applied Mathematics, Brown Universi...