Path-integral Monte Carlo simulations have been used to determine the phase diagram of a two-dimensional He film in a range of temperatures and coverages where it undergoes solidification, superfluidity, and a liquid-gas transition (0.25 K<T<1.5 K 0,s,0.094 Å). We determine the phase-transition densities and give the coefficients for a functional form of the free energy in the liquid, solid, an...

Given two point sets in the plane, we study the minimization of the bottleneck distance between a point set B and an equallysized subset of a point set A under translations. We relate this problem to a Voronoi-type diagram and derive polynomial bounds for its complexity that are optimal in the size of A. We devise efficient algorithms for the construction of such a diagram and its lexicographic...

Group valued edge labellings λ of a Bratteli diagram B give rise to a skew-product Bratteli diagram B(λ) on which the group acts. The quotient by the group action of the associated dynamics can be a nontrivial extension of the dynamics of B. We exhibit a Bratteli diagram for this quotient and construct a morphism to B with unique path lifting property. This is shown to be an isomorphism for the...

We calculate the quantum phase diagram of an extended Falicov-Kimball model for one- and two-dimensional systems in the intermediate coupling regime. Even though some features of the phase diagram are obtained analytically, the main results are calculated with a constrained path Monte Carlo technique. We find that this regime is dominated by a Bose-Einstein condensation of excitons with a built...

We provide a formula for the number of edges of the Hasse diagram of the independent subsets of the hth power of a path ordered by inclusion. For h = 1 such a value is the number of edges of a Fibonacci cube. We show that, in general, the number of edges of the diagram is obtained by convolution of a Fibonacci-like sequence with itself.

The changes in the two-dimensional ~2D! He phase diagram due to the introduction of impurities ~Cs atoms! are estimated using path-integral Monte Carlo simulations. Our results indicate that when we increase the concentration of Cs atoms, the liquid-gas coexistence zone decreases in size and eventually disappears for sCs;0.005 Å , so that 2D He gases will be stable at low temperatures. @S0163-1...

A new technique is proposed in this paper to extend the Integrated Classification Tree Methodology (ICTM) developed by Chen et al. [13] This software assists testers to construct test cases from functional specifications. A Unified Modelling Language (UML) class diagram and Object Constraint Language (OCL) are used in this paper to represent the software specifications. Each classification and ...

Given a terrain defined as a piecewise-linear function with n triangles, and m point sites on it, we would like to identify the location on the terrain that minimizes the maximum distance to the sites. The distance is measured as the length of the Euclidean shortest path along the terrain. To simplify the problem somewhat, we extend the terrain to (the surface of) a polyhedron. To compute the o...

GMRP can perform analyses of Mendelian randomization (MR),correlation, path of causal variables onto disease of interest and SNP annotation analysis. MR includes SNP selection with given criteria and regression analysis of causal variables on the disease to generate beta values of causal variables on the disease. Using the beta vectors, GMRP performs correlation and path analyses to construct p...