In this paper, we show the uniqueness of smooth embedded selfshrinkers asymptotic to generalized cylinders of infinite order. Also, we construct non-rotationally symmetric self-shrinking ends asymptotic to generalized cylinders with rate as fast as any given polynomial.

We show that beta ensembles in Random Matrix Theory with generic real analytic potential have the asymptotic equipartition property. In addition, we prove a Central Limit Theorem for the density of the eigenvalues of these ensembles.

This paper deals with the notion of a large financial market and the concepts of asymptotic arbitrage and strong asymptotic arbitrage (both of the first kind), introduced in [13], [14]. We show that the arbitrage properties of a large market are completely determined by the asymptotic behavior of the sequence of the numéraire portfolios, related to small markets. The obtained criteria can be ex...

Far too many courts lack interest in either education or engineering. This also can be applied to the police departments. In too many in­ stances educators are indifferent to the courts, police and engineering. Not desiring to point an accusing finger, it is felt that traffic engineer­ ing falls as short of perfection in this regard as the other fields of re­ sponsibility in traffic safety. If,...

Abstracl-The capacity of time-varying additive Gaussian noise cbannels with feedback is characterized. Toward this end, an asymptotic equipartition theorem for nonstationary Gaussian processes is proved. Then, with the aid of certain matrix inequalities, it is proved that the feedback capacity C,, in bits per transmission and the nonfeedback capacity C satisfy C 5 CFB < 2C (a result obtained by...

Let U(t, ) be solution of the Dirichlet problem y''+( t-q(t))y= 0 - 1 t l y(-l)= 0 = y(x), with variabIe t on (-1, x), for fixed x, which satisfies the initial condition U(-1, )=0 , (-1, )=1. In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigen values has been investigated . Furthermore, the leading term of the asymptotic formula for ...

An approach, based on the refined method of matched asymptotic expansions, is proposed for the construction of asymptotic models for the topological sensitivity of the energy functional with respect to the creation of a small hole in the geometrical domain. It is shown that the asymptotic model provides more information for calculations than the topological derivative. INTRODUCTION The shape op...

kernel density estimators are the basic tools for density estimation in non-parametric statistics.  the k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in  which  the  bandwidth  is varied depending on the location of the sample points. in this paper‎, we  initially introduce the k-nearest neighbor kernel density estimator in the random left-truncatio...

Abstract We study orientation and two-center interference effects in attosecond time-resolved photoionization of the H 2 molecule. Time resolution extreme-ultraviolet ionization is gained through phase retrieval capability angular streaking demonstrated earlier by Kheifets et al (2022 Phys. Rev. A 106 033106). Once applied to , this technique delivers an anisotropic time delay which both depend...

This article is about the dynamics of a discrete-time prey-predator system with Allee effect and immigration parameter on prey population. Particularly, we study existence local asymptotic stability unique positive fixed point. Furthermore, conditions for bifurcation in are derived. In addition, it shown that goes through period-doubling by using theory center manifold theorem. Eventually, nume...