Salem numbers and Pisot numbers via interlacing

We present a general construction of Salem numbers via rational functions whose zeros and poles mostly lie on the unit circle and satisfy an interlacing condition. This extends and unifies earlier work. We then consider the "obvious" limit points of the set of Salem numbers produced by our theorems, and show that these are all Pisot numbers, in support of a conjecture of Boyd. We then show that all Pisot numbers arise in this way. Combining this with a theorem of Boyd, we show that all Salem numbers are produced via an interlacing construction.Comment: 21 pages, 5 figures, updated in response to reviewer comment

Landscaping Hispaniola Moreau de Saint-Méry's border politics

This article focuses on Médéric Louis Élie Moreau de Saint-Méry's <i>Description Topographique et Politique de la partie espagnole de l'Isle Saint-Domingue </i>(1796) and his <i>Description Topographique, Physique, Civile, Politique et Historique de la partie française de l'Isle Saint-Domingue </i> (1797). The Descriptions were both written before the beginning of the French Revolution and the 1791 slave revolt in Saint Domingue but were published when the colonial frontier had been abolished (at least de jure if not de facto) by the 1795 Peace of Basle. Overall, the article argues that the two Descriptions are ultimately committed to the (re)inscription of the colonial frontier but intriguingly oscillate between its erasure and its reinforcement. It begins by focusing on Saint-Méry's territorial projections and appropriative landscaping of the Spanish colony; it highlights the important role played by the border in the racial politics of Hispaniola and then revisits Saint-Mery's border politics on the island in the light of the author's conviction that France should reannex Louisiana, given to Spain in 1762

Rethinking Jagiello Hungary 1490-1526

Extensive Hungarian-language summary and commentary by Laszlo Szabolcs Gulyas in Klio 2006/2 (University of Debrecen). Electronic version available at http://www.c3.hu/~klio/klio062/klio040.htm