The autocorrelation function Cφ,ε(∆φ, ∆ε) = 〈δg(φ, ε) δg(φ+∆φ, ε+∆ε)〉 (φ and ε are rescaled magnetic flux and energy) for the magnetoconductance of a ballistic chaotic quantum dot is calculated in the framework of the supersymmetric non-linear σ-model. The Hamiltonian of the quantum dot is modelled by a Gaussian random matrix. The particular form of the symmetry breaking matrix is found to be r...

This paper is concerned with a diffusion model of phase-field type, consisting of a parabolic system of two partial differential equations, interpreted as balances of microforces and microenergy, for two unknowns: the problem’s order parameter ρ and the chemical potential μ; each equation includes a viscosity term – respectively, ε ∂tμ and δ ∂tρ – with ε and δ two positive parameters; the field...

BACKGROUND AND PURPOSE When fractionation schemes for hypofractionation and stereotactic body radiotherapy are considered, a reliable cell survival model at high dose is needed for calculating doses of similar biological effectiveness. An alternative to the LQ-model is the track-event theory which is based on the probabilities for one- and two two-track events. A one-track-event (OTE) is always...

We deform the real potential V (x) of Pöschl and Teller by a shift ε ∈ (0, π/2) of x in imaginary direction. We show that the new model V (x) = F/ sinh(x − i ε) + G/ cosh(x− i ε) remains exactly solvable. Its bound states are constructed in closed form. Wave functions are complex and proportional to Jacobi polynomials. Some of them diverge in the limit ε → 0 or ε → π/2. In contrast, all their e...

We analyze the rare kaon decays KL → π0νν̄, K+ → π+νν̄, KL → π0e+e− and KL → μ+μ− in conjunction with the CP violating ratio ε/ε in a general class of supersymmetric models in which Zand magnetic-penguin contributions can be substantially larger than in the Standard Model. We point out that radiative effects relate the double left-right mass insertion to the single left-left one, and that the phe...

We give a new derivation, based on the complementary energy formulation, of a simplified model for a multi-structure made up of two anisotropic hyper-elastic bodies connected by a thin strong material layer. The model is obtained by identifying the Mosco-limit of the stored complementary energy functional when the thickness is of order ε and the stiffness of order 1/ε where ε is a positive real...

In 2012 Driemel et al. introduced the concept of c-packed curves as a realistic input model. case when c is constant they gave near linear time (1+ε)-approximation algorithm for computing Fréchet distance between two polygonal curves. Since then number papers have used this paper we consider problem smallest which given curve in Rd c-packed. We present approximation algorithms. The first 2-appr...

Consider the model Y = m(X)+ ε, where m(·) = med(Y |·) is unknown but smooth. It is often assumed that ε and X are independent. However, in practice this assumption is in many cases violated. In this paper we propose to model the dependence between ε and X by means of a copula model, i.e. (ε,X) ∼ Cθ(Fε(·), FX(·)), where Cθ is a copula function depending on an unknown parameter θ, and Fε and FX ...

We have reconsidered the atmospheric neutrino anomaly in light of the latest data from Super–Kamiokande contained events and from Super–Kamiokande and MACRO up-going muons. We have reanalysed the proposed solution to the atmospheric neutrino anomaly in terms of non–standard neutrino–matter interactions (NSI) as well as the standard νμ → ντ oscillations (OSC). Our statistical analysis shows that...