We investigate the impact of edge roughness on electrical transport properties magnetic tunnel junctions using non-equilibrium Green’s function formalism. have modeled as a stochastic variation in cross-sectional profile junction characterized by stretched exponential decay correlation function. The shape and size changes transverse energy mode gives rise to variations resistance switching volt...

In this paper, we update the peak theory for estimation of primordial black hole (PBH) abundance, particularly by implementing critical behavior in PBH mass and employing averaged compaction function formation criterion to relax profile dependence. We apply our a specific non-Gaussian feature called exponential tail, which is characteristic ultra slow-roll models inflation. With type non-Gaussi...

We have analyzed the statistical probabilities of limit-order book (LOB) shape through building the book using the ultra-high-frequency data from 23 liquid stocks traded on the Shenzhen Stock Exchange in 2003. We find that the averaged LOB shape has a maximum away from the same best price for both buy and sell LOBs. The LOB shape function has nice exponential form in the right tail. The buy LOB...

With application to the impulse radio communications in mind, a locally supported and zero-mean pulse which is orthogonal to its shifts by integers is sought among the exponential splines having the knot interval 12 . An example pulse is obtained that complies with the regulation imposed by the US Federal Communications Commission and will potentially enable an impulse radio communications syst...

An ultra-sensitive, fast, simple and easily operated method for sequence-specific detection of polynucleotides is proposed herein, which is based on a novel target-triggered isothermal exponential degradation reaction (TT-isoTexpDR) and the color change of probe-functionalized gold nanoparticles.

where P is the transmitted power, τ is the integration time, Gt and Gr are the transmit and receive antenna gains, λ1 and λ2 are the longest and shortest wave lengths respectively, σ is the target radar cross section, R is the target range, k is Boltzmanns constant, T is the effective receiver noise temperature and B is the receiver bandwidth. In the case of GPR, the signal attenuation in the g...

Shrinkage preliminary test estimation in exponential distribution under a precautionary loss function is considered. The minimum risk-unbiased estimator is derived and some shrinkage preliminary test estimators are proposed. We apply our results on censored data and records. The relative efficiencies of proposed estimators with respect to the minimum ‎risk-unbiased‎&...

We present a non-perturbative method for calculating the abundance of primordial black holes given an arbitrary one-point probability distribution function curvature perturbation, $P(\zeta)$. A is essential when considering non-Gaussianities that cannot be treated using conventional perturbative expansion. To determine full statistics density field, we relate $\zeta$ to Gaussian field by equati...

It is well known that the matrix exponential function has practical applications in engineering and applied sciences. In this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $X$-form. For instance, $e^{mathbf{A}t}$, $t^{mathbf{A}}$ and $a^{mathbf{A}t}$ will be evaluated by the new formulas in this par...

Abstract Dirichlet series associated with the Poincaré attached to $$\mathrm{SL}(2,{{\mathbb {Z}}})$$ SL ( 2 , Z ) are introduced. Integral representations and transformation formulas given, which descr...