“La maniere d'enoncer vulgaire regarde plustost les individus, mais celle d'Aristote a plus d'egard aux idées ou universaux. Car disant ‘tout homme est animal’, je veux dire que tous les hommes sont compris dans tous les animaux; mais j'entends en même temps que l'idée de l'animal est comprise dans l'idée de l'homme. L'animal comprend plus d'individus que l'homme, mais l'homme comprend plus d'i...

While p-values are widely used and discussed, we do not know a careful de nition of the concept in the literature. We sought to ll in the gap. In the process we discovered that the traditional notion of test statistic is too narrow, and this article indicates a natural generalization. An older version of this paper is published as an arXiv technical report: https: //arxiv.org/abs/1702.02590.

Vladimir Arnold, an eminent mathematician of our time, passed away on June 3, 2010, nine days before his seventy-third birthday. This article, along with one in the next issue of the Notices, touches on his outstanding personality and his great contribution to mathematics. A word about spelling: we use “Arnold”, as opposed to “Arnol’d”; the latter is closer to theRussian pronunciation, but Vlad...

Dima Arnold in My Life Unfortunately, I have never been Arnold’s student, although as a mathematician, I owe him a lot. He was just two years older than I, and according to the University records, the time distance between us was still less: when I was admitted to the Moscow State university as a freshman, he was a sophomore. We knew each other but did not communicate much. Once, I invited him ...

We estimate the Lifschitz tail of the two dimensional magnetic Schrr odinger operator with a uniform magnetic eld and random Poissonian impurities. The single site potential is compactly supported. We obtain the exact low energy asymptotics in the case of the hard-core potential at high density, and we prove lower and upper bounds for soft potential. Our methods involve magnetic localization te...