Dimensional crossover in the Kondo necklace model is analyzed using the bond-operator method at zero and finite temperatures. Explicit relations describing quasi-two-dimensional properties are obtained by asymptotically solving the resulting equations. The crossover from two dimensions (2d) to three dimensions (3d) is investigated, turning on the electronic hopping ([Formula: see text]) of cond...

Let α1, . . . , αk satisfy ∑ i αi = 1 and suppose a k-uniform hypergraph on n vertices satisfies the following property; in any partition of its vertices into k sets A1, . . . , Ak of sizes α1n, . . . , αkn, the number of edges intersecting A1, . . . , Ak is (asymptotically) the number one would expect to find in a random k-uniform hypergraph. Can we then infer that H is quasi-random? We show t...

The notion of a bead metric space is defined as a nice generalization of the uniformly convex normed space such as $CAT(0)$ space, where the curvature is bounded from above by zero. In fact, the bead spaces themselves can be considered in particular as natural extensions of convex sets in uniformly convex spaces and normed bead spaces are identical with uniformly convex spaces. In this paper, w...

The asymptotic properties of self-similar spherically symmetric perfect fluid solutions with equation of state p = αμ (−1 < α < 1) are described. We prove that for large and small values of the similarity variable, z = r/t, all such solutions must have an asymptotic power-law form. They are associated either with an exact power-law solution, in which case the α > 0 ones are asymptotically Fried...

We define quasi-local conserved quantities in general relativity by using the optimal isometric embedding in [28] to transplant Killing fields in the Minkowski spacetime back to the 2-surface of interest in a physical spacetime. To each optimal isometric embedding, a dual element of the Lie algebra of the Lorentz group is assigned. Quasi-local angular momentum and quasi-local center of mass cor...

In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical periodicity; in actual fact, observe that a remotely periodic function is nothing else but bounded, uniformly continuous quasi-asymptotically function. We introduce analyze several new classes $c$-almost functions ${\mathbb R}^{n},$ slowly oscillating further recently introduced class R}^{n}.$ provide certa...

We prove the existence of asymptotically flat solutions to the static vacuum Einstein equations on M = R \B with prescribed metric γ and mean curvature H on ∂M ≃ S, provided H > 0 and H has no critical points where the Gauss curvature Kγ ≤ 0. This gives a partial resolution of a conjecture of Bartnik on such static vacuum extensions. The existence and uniqueness of such extensions is closely re...

The purpose of this paper is to investigate nonemptyness of the solution set for generalized mixed quasi-equilibrium problems and investigate the asymptotic behavior of an iterative algorithm for finding common solution of generalized mixed equilibrium problems and fixed point problems of asymptotically nonexpansive mappings under mild conditions of iteration parameters. Our results improve and...

The connection between the thermodynamics of charged finite nuclear systems and the asymptotically measured partitions is presented. Some open questions, concerning in particular equilibrium partitions are discussed. We show a detailed comparison of the decay patterns in Au + C,Cu,Au central collisions and in Au quasi-projectile events. Observation of abnormally large fluctuations in carefully ...