The heavy quark potential and particularly the one proposed by Richardson to incorporate both asymptotic freedom and linear confinement is analyzed in terms of a generalized Borel Transform recently proposed. We were able to obtain, in the range of physical interest, an approximate analytical expression for the potential in coordinate space valid even for intermediate distances. The deviation b...

The aim of the article is to investigate the relative dispersion properties of the Well Mixed class of Lagrangian Stochastic Models. Dimensional analysis shows that given a model in the class, its properties depend solely on a non-dimensional parameter, which measures the relative weight of Lagrangian-to-Eulerian scales. This parameter is formulated in terms of Kolmogorov constants, and model p...

Let G be a simple algebraic group of classical type over an algebraically closed field k. Let P be a parabolic subgroup of G and let p = LieP be the Lie algebra of P with Levi decomposition p = l⊕ u, where u is the Lie algebra of the unipotent radical of P and l is a Levi complement. Thanks to a fundamental theorem of R. W. Richardson ([16]), P acts on u with an open dense orbit; this orbit is ...

This paper investigates the relationship between bank performance and management structure in Shanghai between 1912 and 1937. The data come from the Shanghai's Municipal Archives and the Center for Research of Chinese Business History. Using panel data econometric technique, the analysis finds that management structure does little to explain bank performance. Rather, factors such as bank asset ...

Christopher T. Rota*, Robert J. Fletcher Jr, Robert M. Dorazio and Matthew G. Betts Wildlife Ecology and Conservation, University of Florida, PO Box 110430, Gainesville, FL 32611-0430, USA; Department of Statistics, US Geological Survey and University of Florida, Gainesville, FL 32611-0339, USA; and Department of Forest Ecosystems and Society, Oregon State University, 216 Richardson Hall, Corva...

We prove limit theorems for small-scale pair dispersion in velocity fields with power-law spatial spectra and wave-number dependent correlation times. This result establishes rigorously a family of generalized Richardson’s laws with a limiting case corresponding to Richardson’s t and 4/3-laws.

The polarization dependent momentum distributions of top quarks and their decay products are calculated for t ¯ t production at future e + e − colliders with polarized beams. The Green function formalism is applied to this reaction near energy threshold. The Lippmann–Schwinger equations for the S-wave and P-wave Green functions are solved numerically for the QCD chromostatic potential given by ...

When asked to engage in judgments of relative direction (JRD), subjects routinely show a performance benefit when the judgments are aligned with the perspective used at encoding. This alignment effect (Roskos-Ewoldsen, McNamara, Shelton, & Carr, 1998) has recently been shown to reverse itself when subjects rotate 180°(Waller, Montello, Richardson, & Hegarty, 2002), consistent with the predictio...

A stratified bottom Ekman layer over a nonsloping, rough surface is studied using a three-dimensional unsteady large eddy simulation to examine the effects of an outer layer stratification on the boundary layer structure. When the flow field is initialized with a linear temperature profile, a three-layer structure develops with a mixed layer near the wall separated from a uniformly stratified o...

We study the Ramond twisted representations of the affine W algebra W(ḡ, f) in the case that f is Richardson. We establish the vanishing and the almost irreducibility of the corresponding BRST cohomology. This confirms some of the recent conjectures of Kac and Wakimoto [KW5]. In type A, our results give the characters of all irreducible ordinary Ramond twisted representations of W(sln, f) for a...