Ethnic distribution, effective power and conflict

This paper highlights the fact that different distributional aspects of ethnicity matter for conflict. We axiomatically derive a parametric class of indices of conflict potential obtained as the sum of each ethnic group’s relative power weighted by the probability of across group interactions. The power component of an extreme element of this class of indices is given by the Penrose–Banzhaf measure of relative power. This index combines in a non-linear way fractionalization, polarization and dominance. The empirical analysis verifies that it outperforms the existing indices of ethnic diversity in explaining ethnic conflict onset.

Modern Perspectives

This chapter suggests that despite the removal of God from human history, which radically altered the understanding of the mechanism that propelled Jewish history, assessments of Jewish historical fate as unfailingly painful survived intact. Observers continued to project the Jews as an endlessly afflicted people and to highlight forced Jewish displacement as the most extreme element in the relentless tragedy of the Jewish people. The ongoing emphasis on Jewish suffering and hurtful demographic dislocation combined with the removal of God and divine causation from the historical arena sparked a search for new causative explanations for the long-established and widely shared views of the tribulations of the previous two millennia of Jewish history. These new explanations revised but at the same time reinforced the still regnant conviction that Jews have suffered incessantly since the onset of their purported third exile.

Holomorphic Functions with Positive Real Part

The main purpose of this note is to prove a special case of the following conjecture.Conjecture. If F is holomorphic on the unit ball Bn in Cn and has positive real part, then F is in Hp(Bn) for 0 < p < ½(n + 1).Here Hp(Bn) (0 < p < ∞) denote the usual Hardy spaces of holomorphic functions on Bn. See below for definitions. We remark that the conjecture is known for 0 < p < 1 and that some evidence for it already exists in the literature; for example [1, Theorems 3.11 and 3.15] where it is shown that a particular extreme element of the convex cone of functionsis in Hp(B2) for 0 < p < 3/2.