ThCr2Si2-type EuNi2Sb2 (I4/mmm, a = 438.1(1), c = 1068.1(4) pm) was synthesized by arc-melting of the elements. Magnetic susceptibility measurements show CurieWeiss behavior with an experimental magnetic moment of 8.03(1) μB/Eu atom, indicating stable divalent europium. EuNi2Sb2 orders antiferromagnetically at TN = 5.8(1) K. A 151Eu Mössbauer spectrum at 4.2 K shows two spectral components with...

We prove that, for any quantum evolution in`2 (Z D), there exist arbitrarily long time scales on which the qth moment of the position operator increases at least as fast as a power of time given by q=D times the packing dimension of the spectral measure. Packing dimensions of measures and their connections to scaling exponents and box-counting dimensions are also discussed.

Consider the empirical spectral distribution of complex random n×n matrix whose entries are independent and identically distributed random variables with mean zero and variance 1/n. In this paper, via applying potential theory in the complex plane and analyzing extreme singular values, we prove that this distribution converges, with probability one, to the uniform distribution over the unit dis...

We consider the product of a finite number of non-Hermitian random matrices with i.i.d. centered entries of growing size. We assume that the entries have a finite moment of order bigger than two. We show that the empirical spectral distribution of the properly normalized product converges, almost surely, to a non-random, rotationally invariant distribution with compact support in the complex pl...

Suppose sn is the spectral norm of either the Toeplitz or the Hankel matrix whose entries come from an i.i.d. sequence of random variables with positive mean μ and finite fourth moment. We show that n−1/2(sn − nμ) converges to the normal distribution in either case. This behaviour is in contrast to the known result for the Wigner matrices where sn−nμ is itself asymptotically normal.

A database of 1700 digital seismograms from 186 earthquakes of magnitude mN 2.5–5.6 that occurred in southeastern Canada and the northeastern United States from 1990 to 2003 was compiled. Maximum-likelihood regression analysis of the database was performed to determine a model for the attenuation of Fourier spectral amplitudes for the shear window, for the vertical and horizontal component of m...

Let y ≡ y(2d) = {yi}i∈Zn+ ,|i|62d denote a real n-dimensional multisequence of degree 2d, y0 > 0. Let Ly : R2d[x1, . . . , xn] 7→ R denote the Riesz functional, defined by Ly(∑|i|62d aix i) = ∑ aiyi, and let Md(y) denote the corresponding moment matrix. Positivity of Ly plays a significant role in the Truncated Moment Problem and in the Polynomial Optimization Problem, but concrete conditions f...