A simple derivation of the Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner (JIMWLK) equation for the evolution of small-x QCD wavefunctions is given. The derivation makes use of the equivalence between the evolution of a (in general complicated) small x wavefunction with that of the evolution of the (simple) dipole probing the wavefunction in a high energy scattering.

In this paper, we give the definition of the generalized Ramond N = 2 superconformal algebras and discuss the derivation algebra and the automorphism group.

The introduction of species sensitivity distribution (SSD) approaches to ecological risk assessment offers the potential for a more transparent scientific basis for the derivation of predicted no-effect concentrations. However, conventional SSD methodologies have relied on standard distributions (e.g., log logistic, log normal) that are not necessarily based on sound ecological or statistical g...

A general framework for deriving and using a class of constitutive laws incorporating spatial gradients of internal variables is presented. It user two basic ingredients : a derivation of such models by homogenization techniques and a reformulation of the et~olution eyuation at the scale of the whole structure.

We investigate the group velocity of light in a one-dimensional volume-index grating inside a photorefractive LiNbO(3) crystal. The slowdown of the group electromagnetic propagation is observed experimentally by tuning of the wave number of the optical beam close to the outside edge of the forbidden bandgap. We obtain a large group index of up to 7.5 in a 3.5-cm crystal sample. The group index ...

This paper presents a unified mathematical derivation of the asymptotic behaviour of the three main forms of partial directed coherence (PDC). Numerical examples are used to contrast PDC, gPDC (generalized PDC) and iPDC (information PDC) as to meaning and applicability and, more importantly, to show their essential statistical equivalence insofar as connectivity inference is concerned.

We consider the valued fieldK := R((Γ)) of generalised series (with real coefficients and monomials in a totally ordered multiplicative group Γ ). We investigate how to endow K with a series derivation, that is a derivation that satisfies some natural properties such as commuting with infinite sums (strong linearity) and (an infinite version of) Leibniz rule. We characterize when such a derivat...

We present an approximate and heuristic scheme for the derivation of continuum kinetic equations from microscopic dynamics for stochastic, interacting systems. The method consists of a mean-field-type, decoupled approximation of the master equation followed by the "naive" continuum limit. The Ising model and driven diffusive systems are used as illustrations. The equations derived are in agreem...

The aim of this note is to give a quick derivation of Theorem 1 using the techniques developed in [1] and the skew domino Cauchy identity. Let Gλ/μ(X; q) = ∑ D q spin(D)xweight(D) be the spin-weight generating function of domino tableaux with shape λ/μ; see for example [1]. Here we will use the convention that spin(D) is equal to half the number of vertical dominoes in D. Though not stated expl...