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Subjects / keywords: mathematical physics; Science: Physics

Subjects / keywords: high energy physics, quantum field theory, mathematical physics, interface of particle physics and cosmology, statistical systems, mathematical physics; Science: Physics: Nuclear and particle physics. Atomic energy. Radi...

Subjects / keywords: applied mathematics, differential equations, topology, computational mathematics, mathematical physics; Science: Mathematics: Analysis; Technology: Technology (General): Industrial engineering. Management engineering: Ap...

Subjects / keywords: spectral theory, partial differential equations, mathematical physics; Science

Subjects / keywords: functional analysis, operator theory, topology, representation theory, mathematical physics; Science: Mathematics: Analysis

Subjects / keywords: Simple (philosophy); Statistical physics; Mathematical model; Dynamics (music); Dynamical systems theory; Order (exchange); Applied mathematics; Mathematics; Computer science; Calculus (dental); Mathematical economics; P...

We shall present here the motivation and a general description of a method dealing with a class of problems in mathematical physics. The method is, essentially, a statistical approach to the study of differential equatio...

A number of extensions to the multisolution approach to the crystallographic phase problem are discussed in which the negative quartet relations play an important role. A phase annealing method, related to the simulated ...

Abstract This paper discusses the applicability of statistics to a wide field of problems. Examples of simple and complex distributions are given.

Subjects / keywords: Finite difference; Finite difference method; Mathematics; Resolution (logic); Compact finite difference; Physics; Mathematical analysis; Applied mathematics; Computer science; Artificial intelligence

The dispersion and absorption of a considerable number of liquid and dielectrics are represented by the empirical formula ε*−ε∞=(ε0−ε∞)/[1+(iωτ0)1−α]. In this equation, ε* is the complex dielectric cons...

This paper presents a table of abundances of the elements in the various major units of the Earth's lithic crust with a documentation of the sources and a discussion of the choice of units and data.

We introduce a powerful method for exploring the properties of the multidimensional free energy surfaces (FESs) of complex many-body systems by means of coarse-grained non-Markovian dynamics in the space defined by a few...

The age calibration program, CALIB (Stuiver & Reimer 1986), first made available in 1986 and subsequently modified in 1987 (revision 2.0 and 2.1), has been amended anew. The 1993 program (revision 3.0) incorporates f...

Abstract We generalize the method proposed by Gelman and Rubin (1992a) for monitoring the convergence of iterative simulations by comparing between and within variances of multiple chains, in order to obtain a family of ...

The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competitio...

Following upon the general theory in Part I, a considerable simplification is here introduced in the treatment of the case where the grain centers of the new phase are randomly distributed. Also, the kinetics of the main...

There is a deep and useful connection between statistical mechanics (the behavior of systems with many degrees of freedom in thermal equilibrium at a finite temperature) and multivariate or combinatorial optimization (fi...

An N⋅log(N) method for evaluating electrostatic energies and forces of large periodic systems is presented. The method is based on interpolation of the reciprocal space Ewald sums and evaluation of the resulting convol...

Density functional approximations for the exchange-correlation energy EDFAxc of an electronic system are often improved by admixing some exact exchange Ex: Exc≊EDFAxc+(1/n)(Ex−EDFAx). This procedure is justified when...

A method is given for generating sets of special points in the Brillouin zone which provides an efficient means of integrating periodic functions of the wave vector. The integration can be over the entire Brillouin zone ...

A diagram has been devised that can provide a concise statistical summary of how well patterns match each other in terms of their correlation, their root‐mean‐square difference, and the ratio of their variances. Alth...

An unknown quantum state \ensuremath{\Vert}\ensuremath{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations....

Subjects / keywords: Collective action; Public good; Action (physics); Business; Political science; Mathematical economics; Economics; Neoclassical economics; Physics; Law; Quantum mechanics; Politics