problems generated by these pollutants to be more and more acute as time goes by. This book, edited by Miller and Berg, is a compilation of the proceedings of a conference held at the University of Rochester to collect and consider such scattered accumulated data. The chapters represent individual contributions by the authors at the conference. Each chapter contains references and a summarized ...

We study a discrete-time resource flow in Zd, where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution of initial resource quantities, we prove that the flow at each vertex terminates after finitely many steps. This answers (a generalized version of) a question posed by Van den Berg and Meester in 1991. The proof uses th...

Abstract: Two concepts of symmetry for the distributions of positive random variables Y are log-symmetry (symmetry of the distribution of log Y ) and R-symmetry ([7]). In this paper, we characterise the distributions that have both properties, which we call doubly symmetric. It turns out that doubly symmetric distributions constitute a subset of those distributions that are moment-equivalent to...