Changes in New Hampshire’s republican party: evolving footprint in presidential politics, 1960-2008

This brief describes a series of dramatic changes in New Hampshire\u27s political landscape over the past four decades. Examining presidential elections from 1960 to 2008, author Dante Scala uncovers a series of significant shifts in New Hampshire\u27s political geography at the county level. He reports that historically Republican counties Grafton and Merrimack have both tilted Democratic consistently in recent decades and that New Hampshire has become less Republican overall. All of these changes have impacted not just general elections in New Hampshire, but the Republican presidential primary as well

Corrigendum for "A geometric proof of the Karpelevich-Mostow theorem"

Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler proof of Karpelevich-Mostow theorem. We also include a short discussion of the original proof by Karpelevich

Intrinsic palindromic numbers

We introduce a notion of palindromicity of a natural number which is independent of the base. We study the existence and density of palindromic and multiple palindromic numbers, and we raise several related questions.Comment: 6 pages, Latex2

Mok's characteristic varieties and the normal holonomy group

In this paper we complete the study of the normal holonomy groups of complex submanifolds (non nec. complete) of Cn or CPn. We show that irreducible but non transitive normal holonomies are exactly the Hermitian s-representations of [CD09, Table 1] (see Corollary 1.1). For each one of them we construct a non necessarily complete complex submanifold whose normal holonomy is the prescribed s-representation. We also show that if the submanifold has irreducible non transitive normal holonomy then it is an open subset of the smooth part of one of the characteristic varieties studied by N. Mok in his work about rigidity of locally symmetric spaces. Finally, we prove that if the action of the normal holonomy group of a projective submanifold is reducible then the submanifold is an open subset of the smooth part of a so called join, i.e. the union of the lines joining two projective submanifolds