Sklyanin’s method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter’s Q-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one...

In this paper we present a new method for the interpolation of functions using Feynman path integrals. It is argued that least-biased interpolations are obtained. The interpolation method is essentially numerical and an algorithm is given for determining the interpolation values. The core of the method is the identiication of the interpolation values as expectation values of a random function. ...

We introduce a semistochastic implementation of the power method to compute, for very large matrices, the dominant eigenvalue and expectation values involving the corresponding eigenvector. The method is semistochastic in that the matrix multiplication is partially implemented numerically exactly and partially stochastically with respect to expectation values only. Compared to a fully stochasti...