Critique [of Fascism: A Review of Its History and Its Present Cultural Reality in the Americas]

Professor Forbes’ article represents a timely and important contribution. It should, if need be, serve as a means of raising the readers’ historical consciousnesses during a period in which dramatic changes in U.S. economic and social policies are under way, in a time when unabashed power politics seem to be imposed on half the globe by the ruling classes of both great imperial powers

Refined limit multiplicity for varying conductor

Recent results by Abert, Bergeron, Biringer et al., Finis, Lapid and Mueller, and Shin and Templier have extended the limit multiplicity property to quite general classes of groups and sequences of level subgroups. Automorphic representations in the limit multiplicity problem are traditionally counted with multiplicity according to the number of fixed vectors of a level subgroup; our goal is to perform a slightly more refined analysis and count only automorphic representations with a given conductor with multiplicity 1.Comment: 13 page

Iterative Interplay between Aharonov-Bohm Deficit Angle and Berry Phase

Geometric phases can be observed by interference as preferred scattering directions in the Aharonov-Bohm (AB) effect or as Berry phase shifts leading to precession on cyclic paths. Without curvature single-valuedness is lost in both case. It is shown how the deficit angle of the AB conic metric and the geometric precession cone vertex angle of the Berry phase can be adjusted to restore single-valuedness. The resulting interplay between both phases confirms the non--linear iterative system providing for generalized fine structure constants obtained in the preliminary work. Topological solitons of the scalar coupling field emerge as localized, non-dispersive and non-singular solutions of the (complex) sine-Gordon equation with a relation to the Thirring coupling constant and non-linear optics

Some Considerations Regarding the Problem of Multidimensional Utility

The concept of 'utility' is often used in ambiguous ways in economics, from having substantive psychological connotations to being a formal placeholder representing a person's preferences. In the accounts of the early utilitarians, it was a multidimensional measure that has been condensed during the marginalist revolution into the unidimensional measure we know today. But can we compare different pleasures? This paper assesses the evidence from psychology and neurosciences on how to best conceive of utility. It turns out that empirical evidence does not favor a view of multidimensional utility. This does not eliminate the possibility to make a normative argument supporting a multidimensional notion of utility.utility, pleasures, neuroeconomics, multidimensionality of utility

Interface disorder and layer transitions in Ising thin films

The disorder and layer transitions in the interface between an Ising spin-1/2 film denoted $(n)$, and an Ising spin-1 film denoted $(m)$, are studied using Monte Carlo simulations. The effects of both an external magnetic field, acting only on the spin-1/2 film, and a crystal magnetic field acting only on the spin-1 film, are studied for a fixed temperature and selected values of the coupling constant $J_p$ between the two films. It is found that for large values of the constant $J_p$, the layers of the film $(n)$, as well as those of the film $(m)$, undergo a first order layering transition. On the other hand, the only disordered layer of the film $(n)$ is that one belonging to the interface films $(n)/(m)$, for any values of the crystal field $\Delta$. We show the existence of a critical value of the crystal field $\Delta_c$, above which this particular layer of the film $(n)$ is disordered. We found that $\Delta_c$ depends on the values of the constant coupling $(J_p)$ between the two films.Comment: 6 pages Latex, 13 figures Postscript forma

Nature of crossover from classical to Ising-like critical behavior

We present an accurate numerical determination of the crossover from classical to Ising-like critical behavior upon approach of the critical point in three-dimensional systems. The possibility to vary the Ginzburg number in our simulations allows us to cover the entire crossover region. We employ these results to scrutinize several semi-phenomenological crossover scaling functions that are widely used for the analysis of experimental results. In addition we present strong evidence that the exponent relations do not hold between effective exponents.Comment: 4 pages RevTeX 3.0/3.1, 4 Encapsulated PostScript figures. Uses epsf.sty. Also available as PDF file at http://www.cond-mat.physik.uni-mainz.de/~luijten/erikpubs.htm