We study the entanglement properties of random pure stabilizer states in spin1 2 particles. We obtain a compact and exact expression for the probability distribution of the entanglement values across any bipartite cut. This allows for exact derivations of the average entanglement and the degree of concentration of measure around this average. We also give simple bounds on these quantities. We f...

the most current pursuit algorithms for moving targets which are presented so far in the literatureare pure pursuit and pure rendezvous navigations. recently, one of the present authors has introduced ageometric model for the pure pursuit navigation algorithm. here, in this paper, we study a new algorithm forthe pursuit navigation problem which is a combination of both of the above algorithms. ...

Using the modified tensor product of graphs defined in [1], we present here a graphical criterion for the separability of m-partite pure quantum states living in a real or complex Hilbert space. The criterion gives both necessary and sufficient condition for the separability of such states. This criterion was first conjectured by S. L. Braunstein, S. Ghosh, T. Mansour, S. Severini, and R. C. Wi...

We obtain an exact solution of the time-dependent Schrödinger equation for a two-electron system confined to a plane by an isotropic parabolic potential whose curvature is periodically modulated in time. From this solution we compute the exact time-dependent exchange correlation potential vxc which enters the Kohn-Sham equation of time-dependent density functional theory. Our exact result provi...

Exact results are obtained for a lattice gas on the 3-12 lattice with twoand three-site interactions. By using a decoration transformation, we map the lattice gas into one on the honeycomb lattice with pure two-site interactions. This procedure permits us to draw exact results for the original 3-12 lattice gas. In particular, we obtain its exact two-phase boundary, and confirm the fact that an ...

The paper presents a short overview of two approximation techniques that may be appropriate to estimate performance measures of queueing systems withnon-Poisson offered traffic and finite queue. The techniques evolved from similar techniques originally designed for pure loss systems [1,3J, recently generalized to systems with infinite queue [4J. Consider the queueing system GI/M/N/N+Q, in which...

The Hilbert space of an RSOS-model, introduced by Andrews, Baxter, and Forrester, can be viewed as a space of sequences (paths) {a0, a1, . . . , aL}, with aj-integers restricted by 1 ≤ aj ≤ ν, | aj − aj+1 |= 1, a0 ≡ s, aL ≡ r. In this paper we introduce different basis which, as shown here, has the same dimension as that of an RSOS-model. This basis appears naturally in the Bethe ansatz calcula...

The paper studies spatial autoregressive models with group interaction structure, focussing on estimation and inference for the spatial autoregressive parameter λ. The quasi-maximum likelihood estimator for λ usually cannot be written in closed form, but using an exact result obtained earlier by the authors for its distribution function, we are able to provide a complete analysis of the propert...

Dedicated to the memory of Bernard Dwork 1. Introduction In this series of two papers, we prove the p-adic meromorphic continuation of the pure slope L-functions arising from the slope decomposition of an overconvergent F-crystal, as conjectured by Dwork 6]. More precisely, we prove a suitable extension of Dwork's conjecture in our more general setting of-modules, see section 2 for precise deen...