In this article we review and extend results on summability of formal solutions of Cauchy problems for linear partial differential equations, in two variables, with constant coefficients. Moreover, we show how one can use these results to find corresponding ones for solutions to inhomogeneous...

This Note deals with approximations of homogenized coefficients of second order divergence form elliptic operators with random statistically homogeneous coefficients, by means of “periodization” and other ”cut-off” procedures. For instance in the case of periodic approximation, we...

Equational Boolean Relation Theory concerns the Boolean equations between sets and their forward images under multivariate functions. We study a particular instance of equational BRT involving two multivariate functions on the natural numbers and three infinite sets of natural numbers. We prove...

For any simple voting game (SVG), we consider the question posed in the title from two different points of view as to what voting power means. We also distinguish between blocs imposed by annexation and those formed voluntarily, and present some general theoretical results concerning these...

It is shown that one cannot always construct a definition of players' information in the manner of Bonanno (1992) or Battigalli and Bonanno (1997) which conveys true information, is consistent with existing information sets and expresses maximum information

In this paper we extend the definition of martingale to a larger class of processes named m-martingales, motivated by the study of trading-speculation. The link between speculation, profits and strategies is widely studied among financial and economical theorists. The possibility of making...