The critical temperatures of the Ising model can be obtained by considering the elementary cells of the corresponding lattice, namely the square lattice in two dimensions and the cube in three dimensions. The configurations in the statistical sum of a cell are divided into nondegenerate and degenerate cases. At the critical temperature of the infinite lattice the contributions of these two grou...

We study the functional codes of order h defined by G. Lachaud on X ⊂ P(Fq) a nondegenerate Hermitian variety. We give a condition of divisibility of the weights of the codewords. For X a non-degenerate Hermitian surface, we list the first five weights and the corresponding codewords and give a positive answer on a conjecture formulated on this question. The paper ends with a conjecture on the ...

We investigate the color-locked twin-noisy-field correlation effects in third-order nonlinear absorption and dispersion of ultrafast polarization beats. We demonstrate a phase-sensitive method for studying the twophoton nondegenerate four-wave mixing NDFWM due to atomic coherence in a multilevel system. The reference signal is another one-photon degenerate four-wave-mixing signal, which propaga...

The Lifshitz formula for dispersive forces is generalized to the materials, which cannot be described with the local dielectric response. The principal nonlocality of poor conductors is related to the finite screening length of the penetrating field and collisional relaxation; at low temperatures the role of collisions plays the Landau damping. Spatial dispersion makes the theory self-consisten...

A new algorithm for solving linear complementarity problems with suucient matrices is proposed. If the problem has a solution the algorithm is superlinearly convergent from any positive starting points, even for degenerate problems. Each iteration requires only one matrix factorization and at most two backsolves. Only one backsolve is necessary if the problem is known to be nondegenerate. The a...

A theoretical curiosity remains in the Huggett [1993] model as to the possible existence of a unique and degenerate stationary distribution of agent types. This coincides with the possibility that an equilibrium individual state space may turn out to be trivial in the sense that every agent never escapes the binding common borrowing constraint. In this note, we extend and reinforce the proof of...

Polarization-dependent phase-contrast imaging is used to resolve the spatial magnetization profile of an optically trapped ultracold gas. This probe is applied to Larmor precession of degenerate and nondegenerate spin-1 87Rb gases. Transverse magnetization of the Bose-Einstein condensate persists for the condensate lifetime, with a spatial response to magnetic field inhomogeneities consistent w...

We characterize all stationary time reversible Markov processes whose finite dimensional marginal distributions (of all orders) are infinitely divisible– MISTI processes, for short. Aside from two degenerate cases (iid and constant), in both discrete and continuous time every such process with full support is a branching process with Poisson or Negative Binomial marginal univariate distribution...

A new algorithm for computing anharmonic vibrational states for polyatomic molecules is proposed. The algorithm starts with the vibrational self-consistent field ~VSCF! method and uses degenerate perturbation theory to correct for effects of correlation between different vibrational modes. The algorithm is developed in a version that computes the anharmonic vibrational spectroscopy directly fro...

Offset curves have many applications in computer-aided design and manufacturing. The paper deals with sheet-metal design, where section curves that lie on a design surface must be offset by one metal thickness. Standard techniques for offsetting curves and surfaces are usually too slow for interactive speeds. The paper presents a simple iterative method for computing offset points which can the...