In conventional micromagnetism magnetic domain configurations are calculated based on a continuum theory for the magnetization. This theory assumes that the absolute magnetization value is constant in space and time. Dynamics is usually described with the Landau-Lifshitz-Gilbert LLG equation, the stochastic variant of which includes finite temperatures. Using simulation techniques with atomisti...

Medium modification of scattering properties in interacting Bose systems are considered by solving the Bethe-Salpeter equation. An equation of state for the normal phase (generalized Beth-Uhlenbeck formula) is given using the in-medium phase shifts to include two-particle correlations. Conclusions are drawn for systems of bosonic atoms with repulsive interaction such as sodium Na and rubidium R...

proved that there is an absolute constant V > 0 such that the linear equation a 1 p 1 + a 2 p 2 + a 3 p 3 = b has prime solutions p j 's if b (max j a j) V and a j > 0. Apart from the numerical value of V , the bound is sharp. In this manuscript, we obtain a numerical bound for V. We also obtain a numerical bound for the small prime solutions of the above equation if the a j 's are not all of t...

We consider the finite-time optimal basket liquidation problem for a von Neumann-Morgenstern investor with constant absolute risk aversion (CARA). As underlying continuous-time liquidity model, we use a multi-asset extension of the nonlinear price impact model of Almgren (2003). We show that the expected utility of sales revenues, taken over a large class of adapted strategies, is maximized by ...

Phase transformation tensor Q in the constitutive equation pmposed by Tanaka has been evaluated by employing experimental data of TiNi alloys in a constrained recovery process. It demonstrates that the absolute value of Q for the consmined recovery process is typically about 0.6 0.7 x103 MPa, which is much smaller than that for the stress induced martensitic transformation (typically 2.5 3.5 x1...

Each year, the Computational Optimization and Applications (COAP) editorial board selects a paper from the preceding year’s COAP publications for the Best Paper Award. The recipient of the award for papers published in 2007 is Olvi Mangasarian of the University of Wisconsin, Madison and the University of California, San Diego, for his paper “Absolute Value Programming”, published in Volume 36, ...

We count various classes of algebraic integers of fixed degree by their largest absolute value. The classes of integers considered include all algebraic integers, Perron numbers, totally real integers, and totally complex integers. We give qualitative and quantitative results concerning the distribution of Perron numbers, answering in part a question of W. Thurston [Thu].

This article provides a review of research involving least absolute value (LAV) regression. The review is concentrated primarily on research publisbed since Ihe sur\'ey article by Dielman (Dielman, T. E. (1984). lx"a.sl absolute value estimation in regression mtxlels; An annotated bibliography. Communications ill Statistics Theory and Methoih. 4. 513-541.) and includes articles on LAV estimatio...

Evaluating the Gaussian integrals (expectation, moments, etc.) involving the absolute value function has been playing important roles in various contents. For example, in [KN08] and [LW09], the expected number of zeros of random harmonic functions, which is also the average number of images of certain gravitational lensing system, was associated with the expectation of absolute value of certain...