We prove an analogue of the Sato-Tate conjecture for Drinfeld modules. Using ideas of Drinfeld, J.-K. Yu showed that Drinfeld modules satisfy some Sato-Tate law, but did not describe the actual law. More precisely, for a Drinfeld module φ defined over a field L, he constructs a continuous representation ρ∞ : WL → D× of the Weil group of L into a certain division algebra, which encodes the Sato-...

In 1961, D. R. Daniel observed that the success of a company is usually determined by three to six major factors. This observation has led to many successful management ideas, but they leave one puzzled: why three to six? why not two or seven? In this paper, we provide a possible explanation to this puzzle; namely, we show that these numbers of factors can be derived from Zipf’s Law and from th...

We give an alternative proof of a theorem of Gustafson and Seddighin (1993) following the idea used by Das et al. in an earlier study of antieigenvectors (1998). The result proved here holds for certain classes of normal operators even if the space is infinite dimensional.

Résumé Dans cet article nous allons présenter une méthode pour la détection automatique d’objets artificiels dans des images numériques représentant des milieux naturels. Cette méthode est basée sur la distribution statistique des motifs de texture dans l’image. Cette distribution est calculée en utilisant la loi de Zipf. L’image est divisée en imagettes et la distribution de Zipf est calculée ...

Introduction........................................................................................ 80 I. The Ambitions of International Criminal Justice .......... 84 A. The Domestic Criminal Law Aims....................................... 85 B. The Historical Record Aim.................................................. 88 C. The Transitional Justice Aims.........................................