Particle-hole symmetric localization problems are studied in low dimensions with the emphasis on understanding the origin of the observed singularities in the low-energy density of states. Pure imaginary random hopping and bipartite random hopping problems are considered. In quasi-1D geometry, such systems generically exhibit localized behavior, and are also found to have power-law density of s...

This paper deals with free vibration analysis of thick Laminated curved panels with finite length, based on the three-dimensional elasticity theory. Because of using two-dimensional generalized differential quadrature method, the present approach makes possible vibration analysis of cylindrical panels with two opposite axial edges simply supported and arbitrary boundary conditions including Fre...

We offer a four-category taxonomy of individual output distributions (i.e., distributions of cumulative results): (1) pure power law; (2) lognormal; (3) exponential tail (including exponential and power law with an exponential cutoff); and (4) symmetric or potentially symmetric (including normal, Poisson, and Weibull). The four categories are uniquely associated with mutually exclusive generati...

The error incurred in the representation of contact pressure at edges incomplete contacts by first order asymptotes is treated, and maximum value relative found for a range geometries, both symmetric non-symmetric. For power-law geometry, we identify when first-order asymptote achieves fidelity. Shear tractions are excited application shear force bulk tension one body. An asymptotic traction di...

In a companion paper, the authors obtained some Fubini type identities in law for quadratic functionals of Brownian motion, and, more generally, for certain functionals of symmetric stable processes, the function: x -* x2 then being replaced by: x e IxIa. In this paper, discrete analogues of such identities in law, which involve a sequence of independent standard symmetric stable r.v.'s of inde...

We introduce a model of three-species two-particle diffusion-limited reactions A + B → A or B, B + C → B or C, and C + A → C or A, with three persistence parameters (survival probabilities in reaction) of the hopping particle. We consider isotropic and anisotropic diffusion (hopping with a drift) in 1d. We find that the particle density decays as a power-law for certain choices of the persisten...

In this paper, it is shown that an n-variable rotation symmetric Boolean function f with n even but not a power of 2 admits a rotation symmetric function g of degree at most e ≤ n/3 such that the product gf has degree at most n− e− 1.

In this paper, we study finite-time convergence of gossip algorithms. We show that there exists a symmetric gossip algorithm that converges in finite time if and only if the number of network nodes is a power of two, while there always exists a globally finite-time convergent gossip algorithm despite the number of nodes if asymmetric gossiping is allowed. For n = 2 nodes, we prove that a fastes...

It is well known that over an infinite field the ring of symmetric functions in a finite number of variables is isomorphic to the one of polynomial functions on a single matrix that are invariants by the action of conjugation by general linear group. We generalize this result showing that the abelianization of the algebra of the symmetric tensors of fixed order over a free associative algebra i...

0.1. Version . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0.2. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0.3. Basic conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 0.4. Tensor products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 0.5. Tensor powers of k-modules . . . . . . . . . . . ...