1) We identify new parameter branches for the ultra-local boundary Poisson bracket in d spatial dimension with a (d− 1)-dimensional spatial boundary. There exist 2 r-dimensional parameter branches for each d-box, r-row Young tableau. The already known branch (hepth/9912017) corresponds to a vertical 1-column, d-box Young tableau. 2) We consider a local distribution product among the so-called b...

We express the zeta function associated to the Laplacian operator on S 1 r × M in terms of the zeta function associated to the Laplacian on M , where M is a compact connected Riemannian manifold. This gives formulas for the partition function of the associated physical model at low and high temperature for any compact domain M. Furthermore, we provide an exact formula for the zeta function at a...

A subset $S$ of vertex set $V(D)$ is an {em indpendent dominating set} of $D$ if $S$ is both an independent and a dominating set of $D$. The {em indpendent domination number}, $i(D)$ is the cardinality of the smallest independent dominating set of $D$. In this paper we calculate the independent domination number of the { em cartesian product} of two {em directed paths} $P_m$ and $P_n$ for arbi...

For most species, light represents the principal environmental signal for entraining the endogenous circadian clock. The zebrafish is a fascinating vertebrate model for studying this process since unlike mammals, direct exposure of most of its tissues to light leads to local clock entrainment. Importantly, light induces the expression of a set of genes including certain clock genes in most zebr...

a Ocean Sciences Department, 1156 High Street, University of California Santa Cruz, Santa Cruz, CA, USA b ORAU/NASA Ames Research Center, M.S. 245-4, Bldg. 245, Rm. 120, PO Box 1, Moffett Field, CA 94035, USA c Department of Atmospheric, Ocean, and Space Sciences, University of Michigan, USA d Applied Math and Computer Science, Emory University, Atlanta, GA, USA e Earth Science Division, NASA A...

Within the framework of the Dust Observations for Models (DO4Models) project, the performance of three commonly used dust emissions schemes is investigated in this paper using a box model environment. We constrain the model with field data (surface and dust particle properties as well as meteorological parameters) obtained from a dry 5 lake bed with a crusted surface in Botswana during a three ...