We argue that restricted Schur polynomials provide a useful parameter-ization of the complete set of gauge invariant variables of multi-matrix models. The two point functions of restricted Schur polynomials are evaluated exactly in the free field theory limit. They have diagonal two point functions.
It is well known that a D-string ending on a D3, D5 or D7 brane is described in terms of a non-commutative fuzzy funnel geometry. In this article, we give a numerical study of the fluctuations about this leading geometry. This allows us to investigate issues related to the stability and moduli space of these solutions. We comment on the comparison to the… (More)
A mathematical model describing the biochemical interactions of the luteinizing hormone (LH), luteinizing hormone–releasing hormone (LHRH), and testosterone (T) is presented. The model structure consists of a negative feedback mechanism with transportation and secretion delays of different hormones. A comparison of stability and bifurcation analysis in the… (More)
We derive a product rule satisfied by restricted Schur polynomials. We focus mostly on the case that the restricted Schur polynomial is built using two matrices , although our analysis easily extends to more than two matrices. This product rule allows us to compute exact multi-point correlation functions of restricted Schur polynomials, in the free field… (More)
The study of brane intersections has provided important insights into a possible non-commutative structure of spacetime geometry. In this paper we focus on the D1⊥D3 system. We compare the D1 and D3 descriptions of the interesection and search for non-static solutions of the D3⊥D1 funnel equations in the presence of a worldvolume electric field. We find… (More)
A mathematical model consisting two harmful phytoplankton and zooplankton with discrete time lags in the mortality of zooplankton due to liberation of toxic substances by harmful phytoplankton has been considered. A stable coexistence of all the species has been observed for no-delay situation. Introduction of single delay in the system cause recurrent… (More)
We apply the spacetime dependent lagrangian formalism  to the action in general relativity. We obtain Barriola-Vilenkin [B-V]  type of topological solution by exploiting the electro-gravity duality  of the vacuum Einstein equations. The monopole mass M is shown to be of order a/G with a/2G < M < a/G, a a small positive constant and G Newton's… (More)