Two infants with congenital rubella defects (congenital rubella syndrome) have been reported from Queensland in 2003, after an increase in rubella in that State in 2001-2002. The national Measles Control Campaign in 1998 aimed to give measles-mumps-rubella (MMR) vaccine to all unvaccinated preschoolers and a second dose to primary schoolchildren. Following the Campaign no children with congenit...

In this paper, based on lectures by the authors at the May 2015 workshop Resurgence, Physics and Numbers, at the Centro di Ricerca Matematica Ennio De Giorgio of the Scuola Normale Superiore in Pisa, we explain the origin of resurgent trans-series in the Mathieu equation spectral problem, using uniform WKB and all-orders (exact) WKB. Exact quantization conditions naturally arise, and their expa...

Abstract. Perturbative quantum field theory associates formal power series invariants to knotted objects, that is to knots or homology 3-spheres. These formal power series are known to be Gevrey, and are expected to be factorially divergent, and somehow linked to quantum invariants of knotted objects at complex roots of unity. The latter are the well-known Witten-Reshetikhin-Turaev invariants o...

This paper analyzes the impact of investment in information technology (IT) on the recent resurgence of world economic growth. We describe the growth of the world economy, seven regions, and 14 major economies during the period 1989–2004. We allocate the growth of world output between input growth and productivity and find, surprisingly, that input growth greatly predominates! Moreover, differe...

Human African trypanosomiasis (HAT), or sleeping sickness, has been a public health problem in Sudan for much of the 20 century. Endemic foci of Trypanosoma brucei gambiense are found in southern Sudan in a belt bordering Central African Republic, Democratic Republic of Congo and Uganda. Gambiense sleeping sickness runs a chronic clinical course and is invariably fatal if left untreated. The di...