We describe how the matrix integral of Imbimbo and Mukhi arises from a limit of the FZZT partition function in the double-scaled c = 1 matrix model. We show a similar result for 0A and comment on subtleties in 0B.

Using a Hubbard-Stratonovich transformation coupled with Fourier path integral methods, expressions are derived for the numerical evaluation of the microcanonical density of states for quantum particles obeying Boltzmann statistics. A numerical algorithm is suggested to evaluate the quantum density of states and illustrated on a one-dimensional model system. Typeset using REVTEX 1 Over the past...

Let A be an integral matrix whose set of column vectors is A = {v1, . . . , vq} and let A(P ) be the Ehrhart ring of P = conv(A). We are able to show that if A is the incidence matrix of a d-uniform unmixed clutter with covering number g and the system x ≥ 0;xA ≥ 1 is TDI, then the Castelnuovo-Mumford regularity of A(P ) is sharply bounded by (d − 1)(g − 1). Let R = K[x1, . . . , xn] be a polyn...

the aim of this paper is to show how some measures of noncompactness in the banach space of continuous functions defined on two variables can be applied to the solvability of a general system of functional integral equations . the results obtained generalize and extend several equations . an illustrative example is also presented .

the present paper deals with development of a simulation model for the performance evaluation of feed water system of a thermal power plant using markov birth-death process and probabilistic approach. in present paper, the feed water system consists of four subsystems. after drawing transition diagram for feed water system, differential equations are developed and then solved recursively using ...

Quantum field theories and Matrix models have a far richer solution set than is normally considered, due to the many boundary conditions which must be set to specify a solution of the Schwinger-Dyson equations. The complete set of solutions of these equations is obtained by generalizing the path integral to include sums over various inequivalent contours of integration in the complex plane. We ...

this paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (tfs) in combination with the collocation method. the method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and $2m+2$ unknowns. finally, the error analysis and some numerical examples are provided...

We consider Heterotic string theories in the DLCQ. We derive that the matrix model of the Spin(32)/Z2 Heterotic theory is the theory living on N D-strings in type I wound on a circle with no Spin(32)/Z2 Wilson line on the circle. This is an O(N) gauge theory. We rederive the matrix model for the E8 × E8 Heterotic string theory, explicitly taking care of the Wilson line around the lightlike circ...

The paper proposes an observer synthesis for uncertain nonlinear systems, described by multimodels with unmeasurable premise variables, affected by unknown inputs. A proportional multi-integral observer is considered in order to estimate the system states and the unknown inputs and minimize the influence of the model uncertainties. The stability analysis and the observer synthesis are expressed...