ar X iv : c on d - m at / 9 40 61 09 v 1 2 7 Ju n 19 94 Kinetics of Heterogeneous Single - Species Annihilation

ar X iv : m at h . D G / 9 80 61 09 v 1 1 9 Ju n 19 98 Hopf algebras , cyclic cohomology and the transverse index theorem

Hopf algebras, cyclic cohomology and the transverse index theorem

ar X iv : c on d - m at / 9 40 10 66 v 1 2 8 Ja n 19 94 Ground state energy and quasiparticle gaps

ar X iv : m at h / 94 06 22 6 v 1 [ m at h . C A ] 2 9 Ju n 19 94 COMBINATORIAL ORTHOGONAL EXPANSIONS

The linearization coefficients for a set of orthogonal polynomials are given explicitly as a weighted sum of combinatorial objects. Positivity theorems of Askey and Szwarc are corollaries of these expansions.

ar X iv : c on d - m at / 9 60 61 10 v 1 1 4 Ju n 19 96 Vortex excitation in superfluid 4 He : A Diffusion Monte Carlo study

We present a diffusion Monte Carlo study of a single vortex in two-dimensional superfluid liquid 4 He within the fixed node approximation. We use both the Feynman phase and an improved phase which includes backflow correlations to model the nodal surface of the vortex wavefunction. Results for the particle density, core radius and excitation energies are presented.

ar X iv : m at h / 03 09 40 8 v 2 [ m at h . D G ] 1 2 Ju l 2 00 4 EINSTEIN METRICS ON SPHERES