S U M M A R Y Measurements of the splitting or birefringence of seismic shear waves constitute a powerful and popular technique for characterizing azimuthal anisotropy in the upper mantle. The increasing availability of data sets from dense broad-band seismic arrays has driven interest in the development of techniques for the tomographic inversion of shear wave splitting data and in comparing s...

Let M be a surface sum of 3-manifolds M1 and M2 along a bounded connected surface F and ∂i be the component of ∂Mi containing F . If Mi has a high distance Heegaard splitting, then any minimal Heegaard splitting of M is the amalgamation of those of M,M and M∗, where M i = Mi \ ∂i × I, and M∗ = ∂1 × I ∪F ∂2 × I. Furthermore, once both ∂i \ F are connected, then g(M) = Min {

A series of monomial representations of SL2(p) is used to construct a new series of self-dual ternary codes of length 2(p + 1) for all primes p ≡ 5 (mod 8). In particular we find a new extremal self-dual ternary code of length 60.

Example 4.31. (K16 , P) : P = {(1, 3,5,10,16,15), (1, 4, 6,13,14,11), (1,5, 7,12, 15,10),(1,16,12,10,9,14),(2,3,6,9,11,13),(2,4, 7,10,13,9), (2,5,13,7,11,10), (1, 6, 2, 7,3,8), (1, 7, 8, 11,6,12), (3, 13, 1,9,7,14), (2,11,3,10,6,14),(3,15,14,16,8,12),(4,9,16,7,15,11),(4,10,14,8,13,15), (4,13,16,11,5,14),(8,2,12,5,9,15),(16,3,9,12,4,5),(5,15,6,16,4,8)}; L {(5, 6), (6,7), (6, 8), (8,9), (8, 10), ...

where 〈. . .〉 here denotes an average over many particles and events. In particular, elliptic flow v2 is recognized as a sensitive probe of thermalization at RHIC [2]. While anisotropic flow is by definition a collective effect that involves many particles, it has mostly been analyzed using methods based either on a study of twoparticle correlations [3–5] or on the cumulants of correlations bet...

Consider a random walk on the mapping class group, and let wn be the location of the random walk at time n. A random Heegaard splitting M(wn) is a 3-manifold obtained by using wn as the gluing map between two handlebodies. We show that the joint distribution of (wn, w −1 n ) is asymptotically independent, and converges to the product of the harmonic and reflected harmonic measures defined by th...

Douglas H. Jones, Donald C. Anderson, Bean L. Burr, Helen E. Rudloff, C. Wayne Smith, Sharon S. Krater, and Frank C. Schmalstieg Departments of Pediatrics (D.H.J., D.C.A., B.L.B., C.W.S., S.S.K.) and Microbiology and Immunology and Cell Biology (D.C.A.), Baylor College of Medicine, and the Speros P. Martel Leukocyte Biology Laboratory, Texas Children’s Hospital, Houston, and Department of Pedia...

In this note we propose a new way of constructing compact 7-manifolds with a closed G 2-structure. As a result we find a first example of a closed G 2-structure on S 3 × S 4. We also prove that any integral closed G 2-structure on a compact 7-manifold M 7 can be obtained by embedding M 7 to a universal space (W 3(80+8.C 3 8) , h). MSC: 53C10, 53C42 Key words: closed G 2-structures, submanifolds...

Pay 1) Salary level 2) The opportunity to become financially wealthy 3) The amount of pay 4) A good salary 5) Receiving enough pay to live well 6) Opportunities to receive more than my normal pay for good work 7) An opportunity to earn a high income 8) Periodic wage raises 9) Have pay increases that keep up with the cost of living 10) Opportunities to earn more than my regular paycheck Promotio...