These notes are based on two lectures which were given by the author at the Workshop on Arithmetic Algebraic Geometry, I.I.T. Guwhati, India, fall 2008. They were intended to give a quick survey on classical complex modular forms and their l-adic Galois representations. Accordingly, the focus is rather on results and examples whereas proofs are mainly sketched or omitted. Nothing in these notes...

Shifting dynamics of climate-functional groups in oldgrowth Amazonian forests Nathalie Butt a g , Yadvinder Malhi a , Mark New a h i , Manuel J. Macía b , Simon L. Lewis c d , Gabriela Lopez-Gonzalez c , William F. Laurance e , Susan Laurance e , Regina Luizão f , Ana Andrade f , Timothy R. Baker c , Samuel Almeida j & Oliver L. Phillips c a Oxford University School of Geography and the Environ...

We consider the critical focusing NLS in 1-d of the form (1.1) i∂ t ψ + ∂ 2 x ψ = −|ψ| 4 ψ, i = √ −1, ψ = ψ(t, x), and ψ complex valued. It is well-known that this equation permits standing wave solutions of the form φ(t, x) = e iαt φ 0 (x, α), α > 0 Indeed, requiring positivity and evenness in x for φ 0 (x, α) implies for example φ 0 (x, α) = α 1 2 (3 2) 1 4 cosh 1 2 (α 2 x) Another remarkable...

From the *Laboratory of MolecularAllergy & Immunology, National h;stitute of Allergy and Infectious Diseases, National h;stitutes of Health, Rockville, Maryland 20852; ~;Division of Hematologic Products, Center for Biologics Evaluation and Research, Food and Dn,g Administration, Bethesda, Maryland 20892; and the ~Laboratory of Mammalian Genes and Development, National Institute of Child Health ...

In this paper, we give a number of examples of pairs of non-compact surfaces S 1 and S 2 which are isoscattering, to be defined below. Our basic construction is based on a version of Sunada's Theorem [Su], which has been refined using the technique of transplantation ([Be], [Zel]) so as to be applicable to isoscattering. See [BGP] and [BP] for this approach, which is reviewed below. Our aim her...

In a permutation sequence built by means of sub permutations, the transitions between successive permutations are subject to a set of n(n – 1)/2 rules that naturally group into n – 1 matrices with a high degree of regularity. By means of these rules, the sequence can be produced in O(3n!) time and O(n) space. To generate all permutations of a given set one can go for (among other things) a mini...

c d p n the last three decades, the U.S. life expectancy has been rolonged by about one or two years each decade due to dvances in cardiovascular medicine. This improvement is he result of the development of better therapies rather than ardiovascular disease (CVD) prevention. Despite this imrovement, CVD continues to be the leading cause of death y far (Table 1), and its prevalence is increasin...

a b c d NM Chanzu *, W Mwanda , J Oyugi and O Anzala Institute of Tropical and Infectious Diseases, College of Health Sciences, P.O. Box 19676-00200, University of Nairobi, Nairobi, Kenya Institute of Tropical and Infectious Diseases, College of Health Sciences, P.O. Box 19676-00200, University of Nairobi, Nairobi, Kenya Department of Medical Microbiology, College of Health Sciences, P.O. Box 1...

An exploration of future trends in environmental education research Nicole M. Ardoin a , Charlotte Clark b & Elin Kelsey c d a School of Education & Woods Institute for the Environment, Stanford University, 485 Lasuen Mall, Stanford, CA, 94305, USA b Nicholas School of the Environment, Duke University, P.O. Box 90227, Durham, NC, 27708, USA c School of Sustainability, Royal Roads University, Vi...

A clinico-microbiological study of ventilator-associated pneumonia in a tertiary care hospital *a b c d