The dark matter in Galactic halos, or some fraction of it, may be in the form of dark clusters which consist of small mass objects. Carr & Lacey (1987) have derived the permissible properties of such systems, and proposed the existence of dark clusters with mass of order ∼ 106M⊙ to explain some of the observed dynamical properties of the stellar disk of the Galaxy. A population of bound systems...

Africa has a very high human population growth rate which is not matched by the rate of increase in agricultural production per capita. One solution often envisaged is to increase of the area of irrigated land, permitting two crops per year. The most extensively irrigated crop is rice, for which demand continues to increase. Rice-fields are usually flooded for long periods, providing suitable b...

responsibility to their historical development. Starting from George Fletcher’s account of three historical patterns of liability (Fletcher, 1978), Lacey develops a more complex differentiation, and at the same time foregrounds the historical conditions for the emergence of different conceptions of responsibility. In thinking about these, Lacey’s focus is on the relationship between capacity an...

On any aperiodic measure preserving system, there exists a square integrable function such that the associated stationary process satifies the Almost Sure Central Limit Theorem. Introduction The Almost Sure Central Limit Theorem (ASCLT), first formulated by Lévy in [9], has been studied by various authors at the end of the eighties ([6], [3], [10], [8]). This theorem gives conditions under whic...

Atomic-level imperfections play an increasingly critical role in nanophotonic device performance. However, it remains challenging to accurately characterize the sidewall roughness with sub-nanometer resolution and directly correlate this A method that allows measure of waveguides made any material (including dielectrics) using high atomic force microscopy is developed. This illustrated by measu...

In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit Calderón–Zygmund theory. This operator is different from considered by Geba et al. (Math Res Lett 20(4):675–694, 2013). We deal with lacunary full versions operator, prove weighted estimates respect to genuine weights beyond Banach range. Our results are implied sharp sparse domination for b...