We establish recurrence criteria for sums of independent random variables which take values in Euclidean lattices of varying dimension. In particular, we describe transient inhomogenous random walks in the plane which interlace two symmetric step distributions of bounded support. Mathematical Sciences Institute, 409 College Ave., Ithaca, NY, 14853. Research partially supported by the U. S. Army...

We study dynamical phenomena for a class of lattice differential equations, namely infinite systems of ordinary differential equations coordinatized by points on a spatial lattice. We examine in particular the dependence of traveling wave solutions on the direction of motion of the traveling wave. The phenomenon of crystallographic pinning occurs when there is a tendency for a wave to become pi...

The nitrogen-vacancy (NV) center in diamond has enabled studies of nanoscale nuclear magnetic resonance (NMR) and electron paramagnetic with high sensitivity small sample volumes. Most NV-detected NMR (NV-NMR) experiments are performed at low fields. While fields useful many applications, high-field NV-NMR fine spectral resolution, signal sensitivity, the capability to observe a wider range nuc...

We used Gibbs sampling in single and two-trait animal models to estimate genetic parameters for some reproductive and related traits of Nellore cattle (Bos indicus). Female traits were age at first calving (AFC), cumulative productivity (CP) and adult weight (AW). For males, scrotal circumferences at 365 and 450 days of age were analyzed. Gibbs sampling using the ‘Multiple Trait using Gibbs Sam...

Prompted by Hawking’s chronology protection conjecture, and by various other questions regarding the putative existence, stability, and chronological properties of traversable wormholes, a number of authors have presented calculations of the renormalized stress–energy tensor in wormhole spacetimes. In particular, the use of point–splitting techniques leads to expressions that contain the van Vl...